Question 1

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)  $\pi$ $\neq$ 0.10 
B)  $\pi$ $\ge$ 0.10 
C)  $\pi$ $\le$ 0.10 
D)  $\pi$ < 0.10 
E)  $\pi$ = 0.10

Question 2

What are the critical z-values for a two-tailed hypothesis test if $\alpha$ = 0.01?

Accepted Answer

A) $\pm$1.96 
B) $\pm$2.33 
C) $\pm$2.58 
D) $\pm$1.65

Question 3

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 mean?

Accepted Answer

A) 6.6 
B) 7.6 
C) 1.177 
D) 2.447

Question 4

As sample sizes decrease,rejecting the null hypotheses is less likely.

Accepted Answer

A) True 
 B)False

Question 5

The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.The alternate hypothesis is that the mean is not $20,000.If the level of significance is 0.10,what is the critical value?

Accepted Answer

A) 1.65 
B) 2.58 
C) 1.28 
D) $\pm$1.28 
E) $\pm$1.65

Question 6

A p-value is a probability.

Accepted Answer

A) True 
 B)False

Question 7

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 null hypothesis?

Accepted Answer

A)  $\pi$ = 0.36 
B)  $\pi$ = 0.41 
C)  $\pi$$\neq$ 0.36 
D) µ = 0.41

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.What is the alternate hypothesis? ____________________

Accepted Answer

The answer of A manufacturer claims that less than 1%...

Question 9

To prevent bias,the level of significance is selected before setting up the decision rule and sampling the population.

Accepted Answer

A) True 
 B)False

Question 10

If we do not reject the null hypothesis based on sample evidence,we have proven beyond doubt that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 11

A null hypothesis makes a claim about a

Accepted Answer

A) Population parameter 
B) Sample statistic 
C) Sample mean 
D) Type II error

Question 12

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 variance?

Accepted Answer

A) 1.177 
B) 6.6 
C) 1.385 
D) 7.6

Question 13

A Type I error is the probability of rejecting a true null hypothesis.

Accepted Answer

A) True 
 B)False

Question 14

A sample proportion is found by dividing the number of successes in the sample by the number sampled.

Accepted Answer

A) True 
 B)False

Question 15

The average cost of tuition,room and board at small private liberal arts colleges is reported to be $8,500 per term,but a financial administrator believes that the average cost is higher.A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745 with a standard deviation of $1,200.Let = 0.05.What is the p-value for this test?

Accepted Answer

A) 0.0000 
B) 0.0124 
C) 0.0500 
D) 0.4938

Question 16

As sample sizes decrease,the variability of sample means increases.

Accepted Answer

A) True 
 B)False

Question 17

What are the two critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is known?

Accepted Answer

A) Above 1.96 and below -1.96 
B) Above 1.65 and below -1.65 
C) Above 2.58 and below -2.58 
D) Above 1.00 and below -1.00

Question 18

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.What is the z-statistic? _______________

Accepted Answer

The answer of A manufacturer claims that less than 1%...

Question 19

What is the level of significance?

Accepted Answer

A) Probability of a Type II error 
B) Probability of a Type I error 
C) z-value of 1.96 
D) Beta error

Question 20

A manufacturer wants to increase the absorption capacity of a sponge.Based on past data,the average sponge could absorb 3.5 ounces.After the redesign,the absorption amounts of a sample of sponges were (in ounces): 4.1,3.7,3.3,3.5,3.8,3.9,3.6,3.8,4.0,and 3.9.What is the decision rule at the 0.01 level of significance to test if the new design increased the absorption amount of the sponge?

Accepted Answer

A) Do not reject null hypothesis if computed t is less than 2.580 
B) Do not reject null hypothesis if computed t is less than 2.821 
C) Reject null hypothesis if computed z is 1.96 or larger 
D) Reject null hypothesis if computed t is less than 2.764

Exam 10: One-Sample Tests of Hypothesis

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?

What are the critical z-values for a two-tailed hypothesis test if α\alphaα = 0.01?

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 mean?

As sample sizes decrease,rejecting the null hypotheses is less likely.

A p-value is a probability.

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 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.What is the alternate hypothesis? ____________________

To prevent bias,the level of significance is selected before setting up the decision rule and sampling the population.

If we do not reject the null hypothesis based on sample evidence,we have proven beyond doubt that the null hypothesis is true.

A null hypothesis makes a claim about a

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 variance?

A Type I error is the probability of rejecting a true null hypothesis.

A sample proportion is found by dividing the number of successes in the sample by the number sampled.

As sample sizes decrease,the variability of sample means increases.

What are the two critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is known?

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.What is the z-statistic? _______________

What is the level of significance?

What are the critical z-values for a two-tailed hypothesis test if $\alpha$ = 0.01?