Question 1

A confidence interval found by using the sample mean as an estimate is an attempt to provide an interval for the population mean.

Accepted Answer

A) True 
 B)False  True

Question 2

The failure to reject a false null hypothesis is called a __________ error.

Accepted Answer

Type II

Question 3

Two supermarket owners each claim that more customers enter their store than enter the other's store. A survey was taken and it was found that in 60 days an average of 810 people per day entered the first store with a standard deviation of 40 people. A corresponding survey found that in 80 days an average of 800 people per day entered the second store with a standard deviation of 30 people.
-For the above situation, test the hypothesis that $\mu_{1}-\mu_{2}=5$ against a two-tailed alternative.

Accepted Answer

$z=0.81$; do not reject null hypothesis, cannot say the difference is unequal to 5 .

Question 4

A null hypothesis will be rejected if

Accepted Answer

A)  $\alpha=.05$ and $p$-value $=.15$. 
B)  $\alpha=.05$ and $p$-value $=.03$. 
C)  $\alpha=.01$ and $p$-value $=.03$. 
D)  the obtained value of $z$ is closer to the null hypothesis mean than the critical value. 
A)  $\alpha=.05$ and $p$-value $=.15$. 
B)  $\alpha=.05$ and $p$-value $=.03$. 
C)  $\alpha=.01$ and $p$-value $=.03$. 
D)  the obtained value of $z$ is closer to the null hypothesis mean than the critical value.

Question 5

The population value that $\bar{x}_{1}-\bar{x}_{2}$ estimates is __________.

Accepted Answer

The answer of The population value that $\bar{x}_{1}-\bar{x}_{2}$ estimates is...

Question 6

If we reject a true null hypothesis, then we are commit ting a Type II error.

Accepted Answer

A) True 
 B)False

Question 7

The location of the rejection region for the null hypothesis is determined by

Accepted Answer

A)  the sign in the null hypothesis. 
B)  the sign in the alternative hypothesis. 
C)  the size of $\alpha$. 
D)  the sample size $n$. 
A)  the sign in the null hypothesis. 
B)  the sign in the alternative hypothesis. 
C)  the size of $\alpha$. 
D)  the sample size $n$.

Question 8

The manufacturers of a deodorant claim that the mean drying time of their product is, at most, 15 minutes. A sample consisting of 16 cans of the product was used to test the manufacturer's claim. The experiment yielded a mean drying time of 18 minutes with a standard deviation of 6 minutes. Test the claim at the 0.05 significance level.

Accepted Answer

Reject @#LAT-DLM&; sufficient

Question 9

The level of significance should always be specified before a significance test is performed.

Accepted Answer

A) True 
 B)False

Question 10

Two supermarket owners each claim that more customers enter their store than enter the other's store. A survey was taken and it was found that in 60 days an average of 810 people per day entered the first store with a standard deviation of 40 people. A corresponding survey found that in 80 days an average of 800 people per day entered the second store with a standard deviation of 30 people.
-For the above situation, explain under what condition a Type I error would be committed.

Accepted Answer

Rejecting null hypot

Question 11

If $\alpha=0.05$ in a two-tailed large-sample hypothesis test for a population mean, then

Accepted Answer

A)  1.96 is a critical value. 
B)  1.96 is a $p$-value. 
C)  1.65 is a $p$-value. 
D)  1.65 is a critical value. 
A)  1.96 is a critical value. 
B)  1.96 is a $p$-value. 
C)  1.65 is a $p$-value. 
D)  1.65 is a critical value.

Question 12

Two supermarket owners each claim that more customers enter their store than enter the other's store. A survey was taken and it was found that in 60 days an average of 810 people per day entered the first store with a standard deviation of 40 people. A corresponding survey found that in 80 days an average of 800 people per day entered the second store with a standard deviation of 30 people.
-For the above situation, state the hypotheses if this is a two-tailed test.

Accepted Answer

The answer of Two supermarket owners each claim that more...

Question 13

If the null and alternative hypotheses are $$\begin{aligned}
& H_{0}: \mu=80 \
& \mathrm{H}_{A}: \mu>80
\end{aligned}$$
Then the area of rejection for the null hypothesis is

Accepted Answer

A)  to the left. 
B)  to the right. 
C)  split into two parts in both directions. 
D)  cannot be determined from the given information. 
A)  to the left. 
B)  to the right. 
C)  split into two parts in both directions. 
D)  cannot be determined from the given information.

Question 14

The value of $z$ that separates the acceptance region from the rejection region is called __________.

Accepted Answer

The answer of The value of $z$ that separates the...

Question 15

A housing developer suspects that housing prices in a geographical area are higher than the national average. Suppose the average national home price is $\$ 64,000$ with a standard deviation of $\$ 5,000$, and the developer decides to build the community only if, in a random sample of 50 newly -sold houses, the average price is more than $\$ 66,000$.
-What is the probability that the developer builds the community when the prices in the area are only average?

Accepted Answer

The answer of A housing developer suspects that housing prices...

Question 16

Which of the following is a possible null hypothesis for a two-tailed hypothesis test?

Accepted Answer

A)  $\bar{x}=30$ 
B)  $\mu \neq 30$ 
C)  $\mu \geq 30$ 
D)  $\mu=30$ 
A)  $\bar{x}=30$ 
B)  $\mu \neq 30$ 
C)  $\mu \geq 30$ 
D)  $\mu=30$

Question 17

A small-sample confidence interval formula for a population mean differs from the corresponding large-sample formula in that the small-sample formula contains __________.

Accepted Answer

The answer of A small-sample confidence interval formula for a...

Question 18

When a null hypothesis cannot be rejected, we conclude that

Accepted Answer

A)  the null hypothesis is true. 
B)  the null hypothesis may be true. 
C)  the alternative hypothesis is true. 
D)  the alternative hypothesis may be true. 
A)  the null hypothesis is true. 
B)  the null hypothesis may be true. 
C)  the alternative hypothesis is true. 
D)  the alternative hypothesis may be true.

Question 19

In a large-sample hypothesis test with an alternative hypothesis of $\mu>60$, the $p$-value equals

Accepted Answer

A)  $\alpha$. 
B)  $\beta$. 
C)  the critical value of $z$. 
D)  the area to the right of the obtained $z$ value. 
A)  $\alpha$. 
B)  $\beta$. 
C)  the critical value of $z$. 
D)  the area to the right of the obtained $z$ value.

Question 20

A hypothesis test is always an attempt to make a decision about a sample value.

Accepted Answer

A) True 
 B)False

A confidence interval found by using the sample mean as an estimate is an attempt to provide an interval for the population mean.

The failure to reject a false null hypothesis is called a __________ error.

A null hypothesis will be rejected if

The population value that $\bar{x}_{1}-\bar{x}_{2}$ estimates is __________.

If we reject a true null hypothesis, then we are commit ting a Type II error.

The location of the rejection region for the null hypothesis is determined by

The level of significance should always be specified before a significance test is performed.

If $\alpha=0.05$ in a two-tailed large-sample hypothesis test for a population mean, then

If the null and alternative hypotheses are :\mu=80 :\mu>80 Then the area of rejection for the null hypothesis is

The value of $z$ that separates the acceptance region from the rejection region is called __________.

Which of the following is a possible null hypothesis for a two-tailed hypothesis test?

A small-sample confidence interval formula for a population mean differs from the corresponding large-sample formula in that the small-sample formula contains __________.

When a null hypothesis cannot be rejected, we conclude that

In a large-sample hypothesis test with an alternative hypothesis of $\mu>60$ , the $p$ -value equals

A hypothesis test is always an attempt to make a decision about a sample value.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

Exam 12: Tests of Hypotheses: Means

A confidence interval found by using the sample mean as an estimate is an attempt to provide an interval for the population mean.

The failure to reject a false null hypothesis is called a __________ error.

A null hypothesis will be rejected if

The population value that xˉ1−xˉ2\bar{x}_{1}-\bar{x}_{2}xˉ1​−xˉ2​ estimates is __________.

If we reject a true null hypothesis, then we are commit ting a Type II error.

The location of the rejection region for the null hypothesis is determined by

The level of significance should always be specified before a significance test is performed.

If α=0.05\alpha=0.05α=0.05 in a two-tailed large-sample hypothesis test for a population mean, then

If the null and alternative hypotheses are :\mu=80 :\mu>80 Then the area of rejection for the null hypothesis is

The value of zzz that separates the acceptance region from the rejection region is called __________.

Which of the following is a possible null hypothesis for a two-tailed hypothesis test?

A small-sample confidence interval formula for a population mean differs from the corresponding large-sample formula in that the small-sample formula contains __________.

When a null hypothesis cannot be rejected, we conclude that

In a large-sample hypothesis test with an alternative hypothesis of μ>60\mu>60μ>60 , the ppp -value equals

A hypothesis test is always an attempt to make a decision about a sample value.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

The population value that $\bar{x}_{1}-\bar{x}_{2}$ estimates is __________.

If $\alpha=0.05$ in a two-tailed large-sample hypothesis test for a population mean, then

The value of $z$ that separates the acceptance region from the rejection region is called __________.

In a large-sample hypothesis test with an alternative hypothesis of $\mu>60$ , the $p$ -value equals