Question 1

The farther the true mean is from the hypothesized mean,the greater is the power of the test,everything else being equal.

Accepted Answer

A) True 
 B)False

Question 2

The Next Questions Are Based On The Following Information:
A small community college claims that their average class size is equal to 35 students.This claim is being tested with a level of significance equal to 0.02 using the following sample of class sizes: 42,28,36,47,35,41,33,30,39,and 48.Assume class sizes are normally distributed.
-Which of the following conclusions can be drawn?

Accepted Answer

A) Since the test statistics equals 1.58,reject the null hypothesis and conclude that class size does not equal 35 students. 
B) Since the test statistics equals 1.36,fail to reject the null hypothesis and conclude that there's insufficient evidence to conclude that class size does not equal 35 students. 
C) Since the test statistics equals 2.05,reject the null hypothesis and conclude that class size does not equal 35 students. 
D) Since the test statistics equals 2.26,fail to reject the null hypothesis and conclude that class size does equal 35 students. 
A) Since the test statistics equals 1.58,reject the null hypothesis and conclude that class size does not equal 35 students. 
B) Since the test statistics equals 1.36,fail to reject the null hypothesis and conclude that there's insufficient evidence to conclude that class size does not equal 35 students. 
C) Since the test statistics equals 2.05,reject the null hypothesis and conclude that class size does not equal 35 students. 
D) Since the test statistics equals 2.26,fail to reject the null hypothesis and conclude that class size does equal 35 students.

Question 3

The Next Questions Are Based On The Following Information:
A small community college claims that their average class size is equal to 35 students.This claim is being tested with a level of significance equal to 0.02 using the following sample of class sizes: 42,28,36,47,35,41,33,30,39,and 48.Assume class sizes are normally distributed.
-What is the value of the test statistic?

Accepted Answer

A) 1.58 
B) 1.36 
C) 2.05 
D) 2.26 
A) 1.58 
B) 1.36 
C) 2.05 
D) 2.26

Question 4

The Next Questions Are Based On The Following Information:
The dean of a business college in the Midwest claims that he can correctly identify whether a student is a finance major or a music industry management major by the way the student dresses.Suppose in actuality that he can correctly identify finance majors 84% of the time,while 16% of the time he mistakenly identifies a music industry management major as a finance major.Presented with one student and asked to identify the major of this student (who is either a finance or music industry management major),the dean considers this to be a hypothesis test with the null hypothesis being that the student is a finance major and the alternative that the student is a music industry management major.
-Thomas is a shift manager at a local fast food place,and is responsible for quality management.Thomas wants to ensure that each of the frozen hamburger patties that get delivered by the supplier weighs four ounces on average.Assume that the standard deviation of the weight of hamburger patties is known to be 0.1 ounces.Thomas tells one of his employees that as a shipment comes in,select 20 patties at random and find the average weight for the 20 patties.If the average weight is less than 3.95 ounces,reject the shipment.What is the smallest significance level associated with this decision rule?

Accepted Answer

A) 0.015 
B) 0.008 
C) 0.023 
D) 0.013 
A) 0.015 
B) 0.008 
C) 0.023 
D) 0.013

Question 5

The Next Questions Are Based On The Following Information:
In a random sample of 200 high school students,92 sample members indicated some measure of agreement with this statement:"A prospective university's academic ranking and image is important to my decision to attend that institution."
-Test at the 5% level of significance the null hypothesis that one-half of all high school students would agree with this statement against a two-sided alternative.

Accepted Answer

H₀ : P = 0.5 and H₁ : P ≠ 0.5 @#IMG-DLM& = 92 / 200

Question 6

Provide an example of two-sided alternative hypotheses.

Accepted Answer

There are some problems where deviations

Question 7

List out the features of a power function in hypothesis testing.

Accepted Answer

The power function has the following fea

Question 8

If the null hypothesis is P ≥ 0.20 and the alternate hypothesis is P < 0.20,then a two-tail test is being conducted.

Accepted Answer

A) True 
 B)False

Question 9

If the p-value of a two-sided test for the mean of a population is .005,then the null hypothesis will be rejected at a level of significance of .01.

Accepted Answer

A) True 
 B)False

Question 10

The Next Questions Are Based On The Following Information:
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high pressure oil-filled submarine power cable,a company wants to see conclusive evidence that the true standard deviation of sheath thickness is less than .05 inches.
-In this test,what would be a Type I error?

Accepted Answer

The type I error would be conc

Question 11

The Next Questions Are Based On The Following Information:
An insurance company employs agents on a commission basis.It claims that in their first year,agents will earn a mean commission of at least $42,000 and that the population standard deviation is no more than $6,800.A random sample of nine agents found,for commissions in the first year,   
and   
The population distribution can be assumed to be normal.
-Test at the 5% level the null hypothesis H0 : μ ≥ 42,000 against the alternative hypothesis
H1 : μ < 42,000

Accepted Answer

Reject H₀ if t < -t_8,0.05= -1.860 t =

Question 12

The Next Questions Are Based On The Following Information:
Manufacturing planning wants to estimate plant capacity in order to schedule customer orders and improve on-time delivery.A random sample of ten days output gave the following results for numbers of finished components produced: 577,642,615,655,600,570,640,620,595,and 575.Planning is concerned about the variability of daily output and views as undesirable any variance above 525.
-The concentration of a drying compound is critical in gauging the final strength of an adhesive product.The standard deviation of the amount of the compound must be 1,500 parts-per-million (ppm)or less.Based on a sample of 25 mixtures,the standard deviation is 1,700 ppm.Is there reason to believe,at the 10 per cent significance level,that the standard deviation of the drying compound is more than 1,500 ppm? (Note: 1,500 ppm equals a proportion of .0015 and a percent of .000015. )

Accepted Answer

H₀ : σ² = (1500)² against H₁ : σ² > (1500)² Re

Question 13

The Next Questions Are Based On The Following Information:
Research and development has designed a ball point pen so that the true average writing lifetime under controlled conditions (involving the use of a writing machine)is at least 12 hours.A random sample of 18 pens is selected,the writing lifetime of each is determined,and a normal probability plot of the resulting data supports the use of a one-sample t test.
-Explain carefully the distinction between null and alternative hypotheses.

Accepted Answer

The null hypothesis is the statement tha

Question 14

The Next Questions Are Based On The Following Information:
The manufacturer of a new chewing gum claims that at least 80% of dentists surveyed prefer their type of gum and recommend it for their patients who chew gum.An independent consumer research firm decides to test their claim.The findings in a sample of 200 dentists indicate that 74.1% of the respondents do actually prefer their gum.
-What is the decision rule?

Accepted Answer

A) Reject H0 if (   
- P0)/
   
> zα/2 
B) Reject H0 if (   
- P0)/
   
> zα 
C) Reject H0 if (   
- P0)/
   
α/2 
D) Reject H0 if (   
- P0)/
   
α 
A) Reject H0 if (   
- P0)/
   
> zα/2 
B) Reject H0 if (   
- P0)/
   
> zα 
C) Reject H0 if (   
- P0)/
   
α/2 
D) Reject H0 if (   
- P0)/
   
α

Question 15

How does sample size affect the decision to reject or failure to reject of a null hypothesis?

Accepted Answer

The null hypothesis has the status of a

Question 16

The probability of rejecting a null hypothesis when the null hypothesis is true is known as the:

Accepted Answer

A) confidence level. 
B) p-value. 
C) power of the test. 
D) significance level. 
A) confidence level. 
B) p-value. 
C) power of the test. 
D) significance level.

Question 17

Suppose a test procedure about the population mean μ is performed,when the population is normal with an unknown variance,and a sample of size 20 is drawn from the population.If the alternative hypothesis is H1 : μ > μ0,then the null hypothesis is rejected at a level α = 0.05 if t > 1.729.

Accepted Answer

A) True 
 B)False

Question 18

The Next Questions Are Based On The Following Information:
In a random sample of 200 high school students,92 sample members indicated some measure of agreement with this statement:"A prospective university's academic ranking and image is important to my decision to attend that institution."
-A random sample of 250 business faculty members was asked if there should be a required foreign language course for international business majors.Of these sample members,170 felt there was a need for a foreign language course.Test the hypothesis that at least 75% of all business faculty members hold this view.Use α= 0.05.

Accepted Answer

H₀ : P ≥ 0.75 and H₁ : P < 0.75 @#IMG-DLM& = 170 /

Question 19

The Next Questions Are Based On The Following Information:
A small community college claims that their average class size is equal to 35 students.This claim is being tested with a level of significance equal to 0.02 using the following sample of class sizes: 42,28,36,47,35,41,33,30,39,and 48.Assume class sizes are normally distributed.
-The manufacturer of bags of cement claims that they fill each bag with at least 50.2 pounds of cement.Assume that the standard deviation for the amount in each bag is 1.2 pounds.The decision rule is adopted to shut down the filling machine if the sample mean weight for a sample of 40 bags is below 49.8.Suppose that the true mean weight of bags is 50 pounds.Using this decision rule,what is the probability of a Type II error?

Accepted Answer

A) 0.85 
B) 0.70 
C) 0.80 
D) 0.75 
A) 0.85 
B) 0.70 
C) 0.80 
D) 0.75

Question 20

The Next Questions Are Based On The Following Information:
A small community college claims that their average class size is equal to 35 students.This claim is being tested with a level of significance equal to 0.02 using the following sample of class sizes: 42,28,36,47,35,41,33,30,39,and 48.Assume class sizes are normally distributed.
-A Type II error is defined as:

Accepted Answer

A) rejecting a true alternative hypothesis. 
B) rejecting a true null hypothesis. 
C) failing to reject a false null hypothesis. 
D) failing to reject a false alternative hypothesis. 
A) rejecting a true alternative hypothesis. 
B) rejecting a true null hypothesis. 
C) failing to reject a false null hypothesis. 
D) failing to reject a false alternative hypothesis.

The farther the true mean is from the hypothesized mean,the greater is the power of the test,everything else being equal.

Provide an example of two-sided alternative hypotheses.

List out the features of a power function in hypothesis testing.

If the null hypothesis is P ≥ 0.20 and the alternate hypothesis is P < 0.20,then a two-tail test is being conducted.

If the p-value of a two-sided test for the mean of a population is .005,then the null hypothesis will be rejected at a level of significance of .01.

How does sample size affect the decision to reject or failure to reject of a null hypothesis?

The probability of rejecting a null hypothesis when the null hypothesis is true is known as the:

Suppose a test procedure about the population mean μ is performed,when the population is normal with an unknown variance,and a sample of size 20 is drawn from the population.If the alternative hypothesis is H₁ : μ > μ₀,then the null hypothesis is rejected at a level α = 0.05 if t > 1.729.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 9: Hypothesis Testing: Single Population

The farther the true mean is from the hypothesized mean,the greater is the power of the test,everything else being equal.

Provide an example of two-sided alternative hypotheses.

List out the features of a power function in hypothesis testing.

If the null hypothesis is P ≥ 0.20 and the alternate hypothesis is P < 0.20,then a two-tail test is being conducted.

If the p-value of a two-sided test for the mean of a population is .005,then the null hypothesis will be rejected at a level of significance of .01.

How does sample size affect the decision to reject or failure to reject of a null hypothesis?

The probability of rejecting a null hypothesis when the null hypothesis is true is known as the:

Suppose a test procedure about the population mean μ is performed,when the population is normal with an unknown variance,and a sample of size 20 is drawn from the population.If the alternative hypothesis is H1 : μ > μ0,then the null hypothesis is rejected at a level α = 0.05 if t > 1.729.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Suppose a test procedure about the population mean μ is performed,when the population is normal with an unknown variance,and a sample of size 20 is drawn from the population.If the alternative hypothesis is H₁ : μ > μ₀,then the null hypothesis is rejected at a level α = 0.05 if t > 1.729.