N/A — Exam Answers

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What is the probability that the value is 0 ?

A
0 point 4
B
0 point 5
C
0 point 2
D
0 point 6
3

Which of these contributed the most to the value of the chi squared statistic?

A
full-time student and sleeps well
B
part-time student and sleeps well
C
part-time student and does not sleep well
D
full-time student and does not sleep well
4

The conditions for inference are met. The chi-square test statistic is chi squared is equal to 55 point 8 6 What conclusion should be made using alpha is equal to 0 point 0 1 ? Use the chi-square table.

A
Because the cap p -value is greater than alpha is equal to 0 point 0 1 , there is convincing evidence of a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.
B
Because the cap p -value is less than alpha is equal to 0 point 0 1 , there is not convincing evidence of a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.
C
Because the cap p -value is greater than alpha is equal to 0 point 0 1 , there is not convincing evidence of a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.
D
Because the cap p -value is less than alpha is equal to 0 point 0 1 , there is convincing evidence of a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.
5

Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?

A
cap h sub 0 : There is no difference in the distribution of responses among those who are and are not sick. cap h sub A : There is a difference in the distribution of responses among those who are and are not sick.
B
cap h sub 0 : There is a difference in the distribution of responses among those who are and are not sick. cap h sub A : There is no difference in the distribution of responses among those who are and are not sick.
C
cap h sub 0 : There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick. cap h sub A : There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
D
cap h sub 0 : There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick. cap h sub A : There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
6

A participant plans to attend 3 sessions. Here is a list of all possible samples of size 3 sessions from this population of 5 sessions: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, and CDE. Which of the following gives the sampling distribution of the sample minimum session price for samples of size 3, selected from the population of these 5 sessions without replacement?

A
Image with description A dotplot. A number line labeled sampling distribution of the sample minimum session price (dollars) goes from 50 to 100. 50, 2; 100, 1.
B
Image with description A dotplot having a number line labeled sampling distribution of the sample minimum session price (dollars) goes from 100 to 200 with increment of 10. 100, 1; 150, 3; 200, 6.
C
Image with description A dotplot. A number line labeled sampling distribution of the sample minimum session price (dollars) goes from 100 to 200. 50, 2; 100, 1; 150, 1; 200, 1.
D
Image with description A dotplot. A number line labeled sampling distribution of the sample minimum session price (dollars) goes from 50 to 100. 50, 9; 100, 1.
7

What conclusion should be made at the A is equal to 0 point 0 5 level?

A
Because the cap p - value is less than A is equal to 0 point 0 5 , there is not convincing evidence that the true proportion of players who win this game differs from 0 point 1 9 .
B
Because the cap p - value is less than A is equal to 0 point 0 5 , there is not convincing evidence that the true proportion of players who win this game differs from 0 point 1 0 .
C
Because the cap p - value is less than A is equal to 0 point 0 5 , there is convincing evidence that the true proportion of players who win this game differs from 0 point 1 0 .
D
Because the cap p - value is less than A is equal to 0 point 0 5 , there is convincing evidence that the true proportion of players who win this game differs from 0 point 1 9 .
8

Assuming the conditions for inference have been met, is there evidence that the prices of hotel rooms from site cap A and site cap b are different, on average? Use a significance level of A is equal to 0 point 0 5 Use the t -table.

A
Because the cap p -value is less than alpha , there is evidence that the prices of hotel rooms from site cap A and site cap b are different, on average.
B
Because the cap p -value is less than alpha , there is not sufficient evidence that the prices of hotel rooms from site cap A and site cap b are different, on average.
C
Because the cap p -value is greater than alpha , there is evidence that the prices of hotel rooms from site cap A and site cap b are different, on average.
D
Because the cap p -value is greater than alpha , there is not sufficient evidence that the prices of hotel rooms from site cap A and site cap b are different, on average.
9

The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. Are the conditions for inference met?

A
No, the Large Counts condition is not met.
B
No, the random condition is not met.
C
Yes, all three conditions for inference are met.
D
No, the 10 percent condition is not met.
10

The value of the chi-square test statistic is chi squared is equal to 25 point 3 3 What are the degrees of freedom and cap p -value of this test? Use the chi-square distribution table.

A
df is equal to 3 . The cap p -value is less than 0 point 0 0 0 5 .
B
df is equal to 7 . The cap p -value is less than 0 point 0 0 0 5 .
C
df is equal to 3 . The cap p -value is greater than 0 point 2 5 .
D
df is equal to 7 . The cap p -value is between 0 point 0 0 0 5 and 0 point 0 0 1 .
11

Using the dotplot, is there evidence that the proportion of times a spun dime lands on heads is greater than 0 point 5 ?

A
No, a proportion of 0 point 6 8 is only 0 point 1 8 more than 0 point 5 ; therefore, there is insufficient evidence that the true proportion of heads is greater than 0 point 5 .
B
No, a proportion of 0 point 6 8 or more occurred 7 times out of 100 simulated proportions; therefore, there is insufficient evidence that the true proportion of heads is greater than 0 point 5 .
C
Yes, a proportion of 0 point 6 8 proves that the true proportion of heads is greater than 0 point 5 .
D
Yes, a proportion of 0 point 6 8 only occurred once out of 100 simulated proportions; therefore, there is sufficient evidence that the true proportion of heads is greater than 0 point 5 .
12

Using the values in the table, is the sample range an unbiased estimator?

A
Yes, the range of the sampling distribution of the sample range is 3 .
B
No, 80 percent of the possible values of the range of the samples is less than 3 .
C
No, the mean of the sampling distribution of the sample ranges is 1 point 6 , which is not 3 .
D
Yes, 3 is the maximum of the sample ranges.
13

To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. She finds that Erica filled 56 orders, Jen filled 18 , Heather filled 14 , and Tonya filled 12 The chi-square test statistic for goodness of fit is chi squared is equal to 11 point 2 0 and the cap p -value is between 0 point 0 1 and 0 point 0 2 Do the data provide convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages? Use A is equal to 0 point 0 5

A
No. Because the cap p -value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is adhering to the agreed-upon percentages.
B
Yes. Because the cap p -value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages.
C
No. Because the cap p -value is less than the significance level there is not convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages.
D
Yes. Because the cap p -value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is adhering to the agreed-upon percentages.
14

Which is the correct conclusion? Use the chi-square distribution table.

A
Since the cap p -value is greater than 0 point 0 5 , the politician should fail to reject the null hypothesis. There is not convincing evidence that there is an association between region and party affiliation.
B
Since the cap p -value is less than 0 point 0 5 , the politician should fail to reject the null hypothesis. There is not convincing evidence that there is an association between region and party affiliation.
C
Since the cap p -value is greater than 0 point 0 5 , the politician should reject the null hypothesis. There is convincing evidence that there is an association between region and party affiliation.
D
Since the cap p -value is less than 0 point 0 5 , the politician should reject the null hypothesis. There is convincing evidence that there is an association between region and party affiliation.
17

A ski resort claims that there is a 75 percent chance of snow on any given day in January and that snowfall happens independently from one day to the next. A family plans a four-day trip to this ski resort in January. Let cap x represent the number of days it snows while the family is there. What are the mean and standard deviation of cap x ?

A
mu sub x is equal to 3 comma sigma sub x is equal to 0 point 7 5
B
mu sub x is equal to 1 comma sigma sub x is equal to 1
C
mu sub x is equal to 2 comma sigma sub x is equal to 0 point 5 6
D
mu sub x is equal to 3 comma sigma sub x is equal to 0 point 8 7
18

A real-estate agent conducted an experiment to test the effect selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged,” meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was 150 dollars comma 000 with a standard deviation of 22 dollars comma 000 The mean selling price of the 5 staged homes was 175 dollars comma 000 with a standard deviation of 35 comma 000 A dotplot of each sample shows no strong skewness and no outliers. The agent tests ratio of cap h sub 0 to mu sub 1 minus mu sub 2 is equal to 0 , ratio of cap h sub A to mu sub 1 minus mu sub 2 is less than 0 , where mu sub 1 is equal to the true mean selling price of all comparable empty homes and mu sub 2 is equal to the true mean selling price of all comparable staged homes. The conditions for inference are met. The standardized test statistic is t is equal to negative 1 point 3 5 , and the cap p -value is between 0 point 1 0 and 0 point 1 5 What conclusion should be made using the significance level, alpha is equal to 0 point 1 0 ?

A
Fail to reject cap h sub 0 . There is not convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes.
B
Fail to reject cap h sub 0 . There is convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes.
C
Reject cap h sub 0 . There is not convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes.
D
Reject cap h sub 0 . There is convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes.
19

Corey and Dione both love to practice soccer in their backyards. Let cap c represent the number of goals Corey made in a week, and let cap d represent the number of goals Dione made in a week. The mean of the total amount, cap s is equal to cap c plus cap d , of goals made in a typical week is 138 What is the correct interpretation of this value?

A
On average, Dione makes 138 goals per week.
B
On average, Corey and Dione make 138 goals in a typical week.
C
If two weeks are randomly chosen, the sum of the number of goals made by Corey and Dione will be 138 .
D
Corey makes 138 more goals per week than Dione.
20

In early 2019, the US rate of recycling plastic water bottles was only 23 percent A government agency designs an expensive program to increase the recycling rate. The program will be tested in Texas and, if successful, it will be used nationally. A hypothesis test is conducted with ratio of cap h sub 0 to The proportion of water bottles that are recycled is still 23 percent after the program, and ratio of cap h sub A to The proportion of water bottles that are recycled is more than 23 percent after the program. What is a Type II error and its consequence in this context?

A
The agency concludes that the program increases the recycling rate, when in fact it does not. The program will be implemented at great cost to the agency.
B
The agency concludes that the program does not increase the recycling rate, when in fact it does. The program will be implemented and will increase water bottle recycling.
C
The agency concludes that the program increases the recycling rate, when in fact it does not. The agency will not implement a program that could have increased the water bottle recycling rate.
D
The agency concludes that the program does not increase the recycling rate, when in fact it does increase the rate. The agency will not implement a program that could have increased the water bottle recycling rate.

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