Question 1

The null hypothesis makes a claim about what value?

Accepted Answer

A)  Population parameter 
B)  Sample statistic 
C)  Sample mean 
D)  Type II error 
E)  None of these statements are true 
A)  Population parameter 
B)  Sample statistic 
C)  Sample mean 
D)  Type II error 
E)  None of these statements are true

Question 2

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station.
What is the critical value if α = 0.01?

Accepted Answer

A)  2.58 
B)  2.33 
C)  ±2.58 
D)  -2.33 
E)  None of these statements are true 
A)  2.58 
B)  2.33 
C)  ±2.58 
D)  -2.33 
E)  None of these statements are true

Question 3

It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?

Accepted Answer

A)  p ≠ 0.10 
B)  p ≥ 0.10 
C)  p ≤ 0.10 
D)  p < 0.10 
E)  p = 0.10 
A)  p ≠ 0.10 
B)  p ≥ 0.10 
C)  p ≤ 0.10 
D)  p < 0.10 
E)  p = 0.10

Question 4

The dean of a business school claims that the average starting salary of its graduates is more than $50,000. It is known that the population standard deviation is $10,000. Sample data on the starting salaries of 25 randomly selected recent graduates yielded a mean of $52,000. What is the value of the sample test statistic?

Accepted Answer

A)  z = 1.0 
B)  t = 7.2 
C)  t = 5.04 
D)  t = 1.22 
E)  None of these statements are true 
A)  z = 1.0 
B)  t = 7.2 
C)  t = 5.04 
D)  t = 1.22 
E)  None of these statements are true

Question 5

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.
If the computed value of z = -2.25 and the level of significance is 0.03, what is your decision?

Accepted Answer

A)  You reject the null hypothesis, and agree that less than 1% fail to meet government standards. 
B)  You have insufficient evidence to reject the null hypothesis. 
C)  You reject the alternate hypothesis and agree that less than 1% meet government standards. 
D)  You should have used the t-test. 
A)  You reject the null hypothesis, and agree that less than 1% fail to meet government standards. 
B)  You have insufficient evidence to reject the null hypothesis. 
C)  You reject the alternate hypothesis and agree that less than 1% meet government standards. 
D)  You should have used the t-test.

Question 6

A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume that a two-tailed test at the 0.10 significance level is to be used. For what value of t will the null hypothesis be rejected?

Accepted Answer

A)  To the left of -1.282 or to the right of 1.282 
B)  To the left of -1.345 or to the right of 1.345 
C)  To the left of -1.761 or to the right of 1.761 
D)  To the left of -1.645 or to the right of 1.645 
E)  None of these statements are true 
A)  To the left of -1.282 or to the right of 1.282 
B)  To the left of -1.345 or to the right of 1.345 
C)  To the left of -1.761 or to the right of 1.761 
D)  To the left of -1.645 or to the right of 1.645 
E)  None of these statements are true

Question 7

Given: null hypothesis is that the population mean is 16.9 against the alternative hypothesis that the population mean is not equal to 6.9. A random sample of 25 items results in a sample mean of 17.1 and the sample standard deviation is 2.4. It can be assumed that the population is normally distributed. Determine the observed "t" value.

Accepted Answer

A)  t = 0.83 
B)  t = 1.83 
C)  t = 1.75 
D)  t = 0.42 
E)  None of these statements are true 
A)  t = 0.83 
B)  t = 1.83 
C)  t = 1.75 
D)  t = 0.42 
E)  None of these statements are true

Question 8

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.

Accepted Answer

A)  If α = .01, the critical value is z = -2.33 
B)  If α = .01, the critical value is z = 2.33 
C)  If α = .01, the critical value is z = -1.96 
D)  If α = .01, the critical value is z = 1.96 
E)  If α = .01, the critical value is z = -2.58 
A)  If α = .01, the critical value is z = -2.33 
B)  If α = .01, the critical value is z = 2.33 
C)  If α = .01, the critical value is z = -1.96 
D)  If α = .01, the critical value is z = 1.96 
E)  If α = .01, the critical value is z = -2.58

Question 9

The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. Does this sample support the original claim? The null hypothesis is:

Accepted Answer

A)  μ = 6.6 
B)  μ ≠ 6.6 
C)  μ ≥ 6.6 
D)  μ > 7.6 
E)  μ ≠ 7.6 
A)  μ = 6.6 
B)  μ ≠ 6.6 
C)  μ ≥ 6.6 
D)  μ > 7.6 
E)  μ ≠ 7.6

Question 10

i. If we do not reject the null hypothesis based on sample evidence, we have proven beyond doubt that the null hypothesis is true.
Ii) A test statistic is a value determined from sample information collected to test the null hypothesis. 
iii. The region or area of rejection defines the location of all those values that are so large or so small that the probability of their occurrence under a true null hypothesis is rather remote.

Accepted Answer

A)  (ii) and (iii) are correct statements but not (i) 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) and, (ii) are correct statements but not (iii). 
E)  All statements are false 
A)  (ii) and (iii) are correct statements but not (i) 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) and, (ii) are correct statements but not (iii). 
E)  All statements are false

Question 11

If 20 out of 50 students sampled live in a college dormitory, what is the estimated proportion of students at the University living in a dormitory?

Accepted Answer

A)  0.20 
B)  0.40 
C)  0.50 
D)  0.60 
E)  None of these statements are true 
A)  0.20 
B)  0.40 
C)  0.50 
D)  0.60 
E)  None of these statements are true

Question 12

One of the major U.S. tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample 49 tires revealed that the mean number of miles is 45,000 miles with a standard deviation of 15,000 miles. Test the hypothesis with a 0.05 significance level.

Accepted Answer

A)  H0 is μ ≥ 40,000 H1 is μ > 40,000 
B)  H0 is μ = 40,000 H1 is μ > 40,000 
C)  H0 is μ ≤ 40,000 H1 is μ = 40,000 
D)  H0 is μ = 40,000 H1 is μ ≠ 40,000 
E)  None of these is correct. 
A)  H0 is μ ≥ 40,000 H1 is μ > 40,000 
B)  H0 is μ = 40,000 H1 is μ > 40,000 
C)  H0 is μ ≤ 40,000 H1 is μ = 40,000 
D)  H0 is μ = 40,000 H1 is μ ≠ 40,000 
E)  None of these is correct.

Question 13

The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample standard deviation?

Accepted Answer

A)  1.177 
B)  6.6 
C)  1.385 
D)  7.6 
E)  None of these statements are true 
A)  1.177 
B)  6.6 
C)  1.385 
D)  7.6 
E)  None of these statements are true

Question 14

The average cost of tuition, room and board at community colleges is reported to be $8,500 per year, but a financial administrator believes that the average cost is higher. A study conducted using 150 community colleges showed that the average cost per year is $9,000 with a standard deviation of
$1,200. Let α = 0.05.
What are the null and alternative hypotheses for this study?

Accepted Answer

A) Null: μ ≤ $9,000; alternative: μ > $9,000 B) Null: μ ≤ $9,000; alternative: μ $8,500 D) Null: μ ≤ $8,500; alternative: μ < $8,500 E) None of these statements are true A) Null: μ ≤ $9,000; alternative: μ > $9,000 B) Null: μ ≤ $9,000; alternative: μ $8,500 D) Null: μ ≤ $8,500; alternative: μ < $8,500 E) None of these statements are true

Question 15

Test at the 0.01 level the statement that 55% of those families who plan to purchase a vacation residence in Florida want a condominium. The null hypothesis is p = 0.55 and the alternate is p ≠ 0.55. A random sample of 400 families who planned to buy a vacation residence revealed that 228 families want a condominium. What decision should be made regarding the null hypothesis?

Accepted Answer

A)  Do not reject it 
B)  Reject it 
C)  Cannot accept nor reject it based on the information given 
D)  None of these statements are true 
A)  Do not reject it 
B)  Reject it 
C)  Cannot accept nor reject it based on the information given 
D)  None of these statements are true

Question 16

Given: null hypothesis is that the population mean is 16.9 against the alternative hypothesis that the population mean is not equal to 6.9. A random sample of 25 items results in a sample mean of 18.0
And the sample standard deviation is 2.4. It can be assumed that the population is normally distributed. Determine the observed "t" value.

Accepted Answer

A)  t = 2.29 
B)  t = 1.83 
C)  t = 1.75 
D)  t = 2.01 
E)  None of these statements are true 
A)  t = 2.29 
B)  t = 1.83 
C)  t = 1.75 
D)  t = 2.01 
E)  None of these statements are true

Question 17

i. The probability of a Type I error is also referred to as alpha. 
ii. A Type I error is the probability of accepting a true null hypothesis. 
iii. A Type I error is the probability of rejecting a true null hypothesis.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) and, (ii) are correct statements but not (iii). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) and, (ii) are correct statements but not (iii). 
E)  All statements are false

Question 18

If the 1% level of significance is used and the computed value of z is +6.00, what is our decision?

Accepted Answer

A)  Do not reject H0 
B)  Reject H0 
C)  Reject H1 
D)  None of these statements are true 
A)  Do not reject H0 
B)  Reject H0 
C)  Reject H1 
D)  None of these statements are true

Question 19

i. The standard normal distribution is the appropriate distribution when testing a hypothesis about a population proportion.
Ii) When testing population proportions, the z statistic can be used when np and n(1 - p) are greater than five.
Iii) To conduct a test of proportions, the assumptions required for the binomial distribution must be met.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (ii) and, (iii) are correct statements but not (i). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (ii) and, (iii) are correct statements but not (i). 
E)  All statements are false

Question 20

The null hypothesis makes a claim about what value?

Accepted Answer

A)  Population parameter 
B)  Sample statistic 
C)  Sample mean 
D)  Type II error 
E)  None of these statements are true 
A)  Population parameter 
B)  Sample statistic 
C)  Sample mean 
D)  Type II error 
E)  None of these statements are true

The null hypothesis makes a claim about what value?

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the critical value if α = 0.01?

It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. If the computed value of z = -2.25 and the level of significance is 0.03, what is your decision?

A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume that a two-tailed test at the 0.10 significance level is to be used. For what value of t will the null hypothesis be rejected?

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.

The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. Does this sample support the original claim? The null hypothesis is:

If 20 out of 50 students sampled live in a college dormitory, what is the estimated proportion of students at the University living in a dormitory?

The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample standard deviation?

i. The probability of a Type I error is also referred to as alpha. ii. A Type I error is the probability of accepting a true null hypothesis. iii. A Type I error is the probability of rejecting a true null hypothesis.

If the 1% level of significance is used and the computed value of z is +6.00, what is our decision?

The null hypothesis makes a claim about what value?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

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Exam 9: One-Sample Tests of a Hypothesis

The null hypothesis makes a claim about what value?

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the critical value if α = 0.01?

It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. If the computed value of z = -2.25 and the level of significance is 0.03, what is your decision?

A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume that a two-tailed test at the 0.10 significance level is to be used. For what value of t will the null hypothesis be rejected?

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.

The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. Does this sample support the original claim? The null hypothesis is:

If 20 out of 50 students sampled live in a college dormitory, what is the estimated proportion of students at the University living in a dormitory?

The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample standard deviation?

i. The probability of a Type I error is also referred to as alpha. ii. A Type I error is the probability of accepting a true null hypothesis. iii. A Type I error is the probability of rejecting a true null hypothesis.

If the 1% level of significance is used and the computed value of z is +6.00, what is our decision?

The null hypothesis makes a claim about what value?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters