Question 1

If the p-value is less than α in a two-tailed test,

Accepted Answer

A)  the null hypothesis should not be rejected. 
B)  a one-tailed test should be used. 
C)  no conclusion should be reached. 
D)  the null hypothesis should be rejected. 
A)  the null hypothesis should not be rejected. 
B)  a one-tailed test should be used. 
C)  no conclusion should be reached. 
D)  the null hypothesis should be rejected.

Question 2

The test statistic measures how close the computed sample statistic has come to the hypothesised population parameter.

Accepted Answer

A) True 
 B)False

Question 3

Instruction 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
-Referring to Instruction 9-3,the population of interest is

Accepted Answer

A)  the power consumption in the 20 microwave ovens. 
B)  the mean power consumption in the 20 microwave ovens. 
C)  the mean power consumption in all such microwave ovens. 
D)  the power consumption in all such microwave ovens. 
A)  the power consumption in the 20 microwave ovens. 
B)  the mean power consumption in the 20 microwave ovens. 
C)  the mean power consumption in all such microwave ovens. 
D)  the power consumption in all such microwave ovens.

Question 4

How many tissues should the Kimberly Clark Corporation package of KleenexS1U1P1 S1S1P0 contain? Researchers determined that 60 tissues is the average number of tissues used during a cold.Suppose a random sample of 100 KleenexS1U1P1 S1S1P0 users yielded the following data on the number of tissues used during a cold: $\bar { X }$ = 52,s = 22.
-Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 60.

Accepted Answer

A)  H0: $\bar { X }$ $\ge$ 60 and H1:
$\bar { X }$ 0: $\bar { X }$ = 52 and H1:
$\bar { X }$ $\neq$52 
C)  H0: $\mu$ $\ge$ 60 and H1:  $\mu$0: $\mu$ $\le$
 60 and H1: $\mu$> 60 
A)  H0: $\bar { X }$ $\ge$ 60 and H1:
$\bar { X }$ 0: $\bar { X }$ = 52 and H1:
$\bar { X }$ $\neq$52 
C)  H0: $\mu$ $\ge$ 60 and H1:  $\mu$0: $\mu$ $\le$
 60 and H1: $\mu$> 60

Question 5

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so,she plans to alter the entertainment to appeal to an older crowd.If not,no entertainment changes will be made.Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years.
- If she wants to have a level of significance at 0.01,what conclusion can she make?

Accepted Answer

A)  There is sufficient evidence that the mean age of her customers is not over 30. 
B)  There is not sufficient evidence that the mean age of her customers is not over 30. 
C)  There is not sufficient evidence that the mean age of her customers is over 30. 
D)  There is sufficient evidence that the mean age of her customers is over 30. 
A)  There is sufficient evidence that the mean age of her customers is not over 30. 
B)  There is not sufficient evidence that the mean age of her customers is not over 30. 
C)  There is not sufficient evidence that the mean age of her customers is over 30. 
D)  There is sufficient evidence that the mean age of her customers is over 30.

Question 6

If an economist wishes to determine whether there is evidence that average family income in a community equals $50,000

Accepted Answer

A)  a two-tailed test should be utilised. 
B)  either a one-tailed or two-tailed test could be used with equivalent results. 
C)  a one-tailed test should be utilised. 
D)  None of the above. 
A)  a two-tailed test should be utilised. 
B)  either a one-tailed or two-tailed test could be used with equivalent results. 
C)  a one-tailed test should be utilised. 
D)  None of the above.

Question 7

The statement of the null hypothesis always contains an equality.

Accepted Answer

A) True 
 B)False

Question 8

The symbol for the probability of committing a Type I error of a statistical test is

Accepted Answer

A)  α. 
B)  1 - α. 
C)  β. 
D)  1 - β. 
A)  α. 
B)  1 - α. 
C)  β. 
D)  1 - β.

Question 9

You have created a 95% confidence interval for  with the result (10,15).
-What decision will you make if you test H0: $\mu$ = 16 versus H1: $\mu$$\neq$ 16 at $\alpha$ = 0.01?

Accepted Answer

A)  Reject H0 in favour of H1. 
B)  Accept H0 in favour of H1. 
C)  Fail to reject H0 in favour of H1. 
D)  Cannot tell what the decision will be from the information given. 
A)  Reject H0 in favour of H1. 
B)  Accept H0 in favour of H1. 
C)  Fail to reject H0 in favour of H1. 
D)  Cannot tell what the decision will be from the information given.

Question 10

The relationship between power and the probability of a Type I error,all else held constant,is that _____________

Accepted Answer

allowing higher prob

Question 11

For a given sample size n,if the level of significance (α)is decreased,the power of the test

Accepted Answer

A)  will decrease. 
B)  will increase. 
C)  will remain the same. 
D)  cannot be determined. 
A)  will decrease. 
B)  will increase. 
C)  will remain the same. 
D)  cannot be determined.

Question 12

Instruction 9-6
The quality control engineer for a furniture manufacturer is interested in the mean amount of force necessary to produce cracks in stressed oak furniture. She performs a two-tailed test of the null hypothesis that the mean for the stressed oak furniture is 650. The calculated value of the Z test statistic is a positive number that leads to a p-value of 0.080 for the test.
-Referring to Instruction 9-6,if the test is performed with a level of significance of 0.05,the engineer can conclude that the mean amount of force necessary to produce cracks in stressed oak furniture is 650.

Accepted Answer

A) True 
 B)False

Question 13

Instruction 9-4
A drug company is considering marketing a new local anaesthetic. The effective time of the anaesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anaesthetic is such that the effective time should be normal with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anaesthetic; otherwise, it will continue to produce the older drug. A sample of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.
-Referring to Instruction 9-4,what is the probability of making a Type II error if the mean effective time of the anaesthetic is 7.5 using a 0.05 level of significance?

Accepted Answer

The answer of Instruction 9-4
A drug company is considering marketing...

Question 14

Instruction 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
-Referring to Instruction 9-3,what is the probability of making a Type II error if the mean power consumption of all such microwave ovens is in fact 248 W using a 0.10 level of significance?

Accepted Answer

The answer of Instruction 9-3
An appliance manufacturer claims to have...

Question 15

Instruction 9-4
A drug company is considering marketing a new local anaesthetic. The effective time of the anaesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anaesthetic is such that the effective time should be normal with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anaesthetic; otherwise, it will continue to produce the older drug. A sample of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.
-Referring to Instruction 9-4,the null hypothesis will be rejected with a level of significance of 0.10.

Accepted Answer

A) True 
 B)False

Question 16

Instruction 9-4
A drug company is considering marketing a new local anaesthetic. The effective time of the anaesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anaesthetic is such that the effective time should be normal with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anaesthetic; otherwise, it will continue to produce the older drug. A sample of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.
-Referring to Instruction 9-4,what is the power of the test if the mean effective time of the anaesthetic is 7.0 using a 0.05 level of significance?

Accepted Answer

The answer of Instruction 9-4
A drug company is considering marketing...

Question 17

A manager of the credit department for an oil company would like to determine whether the average monthly balance of credit card holders is equal to $75.An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65.If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75,which test would you use?

Accepted Answer

A)  t test of a population proportion. 
B)  Z test of a population proportion. 
C)  Z test of a population mean. 
D)  t test of a population mean. 
A)  t test of a population proportion. 
B)  Z test of a population proportion. 
C)  Z test of a population mean. 
D)  t test of a population mean.

Question 18

The symbol for the confidence coefficient of a statistical test is

Accepted Answer

A)  α. 
B)  1 - α. 
C)  β. 
D)  1 - β. 
A)  α. 
B)  1 - α. 
C)  β. 
D)  1 - β.

Question 19

When working with a very large sample size,you may get a result that is _____ significant but has little ______ significance.

Accepted Answer

statistica

Question 20

Instruction 9-4
A drug company is considering marketing a new local anaesthetic. The effective time of the anaesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anaesthetic is such that the effective time should be normal with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anaesthetic; otherwise, it will continue to produce the older drug. A sample of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.
-Referring to Instruction 9-4,the value of the test statistic is ________

Accepted Answer

The answer of Instruction 9-4
A drug company is considering marketing...

If the p-value is less than α in a two-tailed test,

The test statistic measures how close the computed sample statistic has come to the hypothesised population parameter.

If an economist wishes to determine whether there is evidence that average family income in a community equals $50,000

The statement of the null hypothesis always contains an equality.

The symbol for the probability of committing a Type I error of a statistical test is

You have created a 95% confidence interval for with the result (10,15). -What decision will you make if you test H₀: $\mu$ = 16 versus H₁: $\mu$ $\neq$ 16 at $\alpha$ = 0.01?

The relationship between power and the probability of a Type I error,all else held constant,is that _____________

For a given sample size n,if the level of significance (α)is decreased,the power of the test

The symbol for the confidence coefficient of a statistical test is

When working with a very large sample size,you may get a result that is _ significant but has little __ significance.

Defining and Collecting Data

Organising and Visualising Data

Numerical Descriptive Measures

Basic Probability

Some Important Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing: Two-Sample Tests

Analysis of Variance

Simple Linear Regression

Introduction to Multiple Regression

Time-Series Forecasting and Index Numbers

Chi-Square Tests

Multiple Regression Model Building

Decision Making

Statistical Applications in Quality Management

Further Non-Parametric Tests

Filters

Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests

If the p-value is less than α in a two-tailed test,

The test statistic measures how close the computed sample statistic has come to the hypothesised population parameter.

If an economist wishes to determine whether there is evidence that average family income in a community equals $50,000

The statement of the null hypothesis always contains an equality.

The symbol for the probability of committing a Type I error of a statistical test is

You have created a 95% confidence interval for with the result (10,15). -What decision will you make if you test H0: μ\muμ = 16 versus H1: μ\muμ≠\neq= 16 at α\alphaα = 0.01?

The relationship between power and the probability of a Type I error,all else held constant,is that _____________

For a given sample size n,if the level of significance (α)is decreased,the power of the test

The symbol for the confidence coefficient of a statistical test is

When working with a very large sample size,you may get a result that is _____ significant but has little ______ significance.

Defining and Collecting Data

Organising and Visualising Data

Numerical Descriptive Measures

Basic Probability

Some Important Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing: Two-Sample Tests

Analysis of Variance

Simple Linear Regression

Introduction to Multiple Regression

Time-Series Forecasting and Index Numbers

Chi-Square Tests

Multiple Regression Model Building

Decision Making

Statistical Applications in Quality Management

Further Non-Parametric Tests

Filters

You have created a 95% confidence interval for with the result (10,15). -What decision will you make if you test H₀: $\mu$ = 16 versus H₁: $\mu$ $\neq$ 16 at $\alpha$ = 0.01?

When working with a very large sample size,you may get a result that is _ significant but has little __ significance.