Question 6

A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students:

Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31
Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21

Give a 95% confidence interval for the difference in the mean SAT math score between male and female students who graduated from this school.

Question 6 options:

Question 7

A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Find a 95% confidence interval for the mean number of hours people spent on shopping in the past week.

Question 7 options:

Question 8

A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Test the claim that the mean number of hours people spent on shopping in the past week is greater than 3 hours.

What is the p-value?

Question 8 options:

Question 9

Twelve students who were not satisfied with their ACT scores particiapted in an online 10-hour training program. The ACT scores before and after the training for the 12 students are given below:

Test a claim that the program is effective in improving a student’ ACT score.

What is the p-value?

Question 9 options:

Question 10

A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury level. To confirm that suspicion, five striped bass in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped bass in an unpolluted lake were also caught and tested. The fish tissue mercury levels in mg/kg are given below.

polluted: 0.580, 0.711, 0.571, 0.666, 0.598
unpolluted: 0.382, 0.276, 0.570, 0.366

Construct the 90% confidence interval for the difference in the population means based on these data.

Question 10 options:

Question 6 (1 point)
A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students:

Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31
Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21

Give a 95% confidence interval for the difference in the mean SAT math score between male and female students who graduated from this school.

Question 6 options:

-3.37 to 4.77

-2.18 to 6.01

-2,45 to 3.85

-0.34 to 7.61

Question 7 (1 point)
A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Find a 95% confidence interval for the mean number of hours people spent on shopping in the past week.

Question 7 options:

2.18 to 4.14

2.15 to 4.11

2.07 to 4.03

1.94 to 3.90

Question 8 (1 point)
A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Test the claim that the mean number of hours people spent on shopping in the past week is greater than 3 hours.

What is the p-value?

Question 8 options:

0.6128

0.7744

0.6635

0.3872

Question 9 (1 point)
Twelve students who were not satisfied with their ACT scores particiapted in an online 10-hour training program. The ACT scores before and after the training for the 12 students are given below:

Student Before After
1 23 27
2 25 26
3 27 31
4 30 32
5 24 26
6 25 24
7 27 31
8 26 28
9 28 30
10 22 25
11 20 24
12 29 32
Test a claim that the program is effective in improving a student’ ACT score.

What is the p-value?

Question 9 options:

Essentially 0

0.0325

0.0478

1.000

Question 10 (1 point)
A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury level. To confirm that suspicion, five striped bass in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped bass in an unpolluted lake were also caught and tested. The fish tissue mercury levels in mg/kg are given below.

polluted: 0.580, 0.711, 0.571, 0.666, 0.598
unpolluted: 0.382, 0.276, 0.570, 0.366

Construct the 90% confidence interval for the difference in the population means based on these data.

Question 10 options:

0.05 to 0.40

0.08 to 0.37

0.10 to 0.35

0.04 to 0.41

Although painful experiences are induced in social rituals in many parts of the world, little is known about the social effects of pain. Will sharing painful experiences in a small group lead to greater bonding of group members than sharing a similar non‑painful experience? Fifty‑four university students in South Wales were divided at random into a pain group containing 2727 students, with the remaining students in the no‑pain group.

Pain was induced by two tasks. In the first task, students submerged their hands in freezing water for as long as possible, moving metal balls at the bottom of the vessel into a submerged container; in the second task, students performed a standing wall squat with back straight and knees at 9090 degrees for as long as possible. The no‑pain group completed the first task using room temperature water for 9090 seconds and the second task by balancing on one foot for 6060 seconds, changing feet if necessary.

In both the pain and no‑pain settings, the students completed the tasks in small groups, which typically consisted of four students and contained similar levels of group interaction. Afterward, each student completed a questionnaire to create a bonding score based on answers to questions such as “I feel the participants in this study have a lot in common” or “I feel I can trust the other participants.” The table contains the bonding scores of the two groups.

(a) Find the five‑number summaries for the pain and no‑pain groups. (Enter your answers rounded to two decimal places.)

No‑pain group Min =

No‑pain group ?1=

No‑pain group Median =

No‑pain group ?3=

No‑pain group Max =

pain group Min =

pain group ?1=

pain group Median =

pain group ?3=

pain group Max =

(b) Construct a comparative boxplot for the two groups and choose the correct image from the choices.

(c) Which group tends to have higher bonding scores?

no‑pain group

pain group

Compare the variability in the two groups.

The no‑pain group tends to have less variable bonding scores.

The variability in the two groups is similar.

The pain group tends to have less variable bonding scores.

Choose the correct statement about outliers.

Neither group contains one or more clear outliers.

Only the no‑pain group contains one or more clear outliers.

Only the pain group contains one or more clear outliers.

Both groups contain one or more clear outliers.

A scale is tested by repeatedly weighing a standard 9.0 kg weight. The weights for 8 measurements are

8.9,8.6,8.0,8.2,8.3,8.5,8.2,9.3

Mean: ________ kg

Question 5 (1 point)

A student at a university wants to determine if the proportion of students that use iPhones is less than 0.46. The hypotheses for this scenario are as follows. Null Hypothesis: p ≥ 0.46, Alternative Hypothesis: p < 0.46. If the student takes a random sample of students and calculates a p-value of 0.8906 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 5 options:

Question 6 (1 point)

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.37. However, you think it is greater than 0.37. The hypotheses you want to test are Null Hypothesis: p ≤ 0.37, Alternative Hypothesis: p > 0.37. You take a random sample around town and calculate a p-value for your hypothesis test of 0.9793. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 6 options:

Question 7 (1 point)

A medical researcher wants to determine if the average number of days spent in the hospital after a certain procedure is different from 9.8 days. If the researcher conducts a hypothesis test, what will the null and alternative hypotheses be?

Question 7 options:

Question 8 (1 point)

Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test?

Question 8 options:

1. Define agent.
2. Can anyone become one? Explain.
3. List, number, and describe six classifications/types of agents.
4. Define agency.
5. List, number, and describe four ways that the relationship of agency can be created.

Explain in a list of steps how the development of pesticide resistance in agricultural pests

(weeds, for example) occurs. List all the steps in the process, showing how this is an example of

evolution by natural selection. Be as thorough and detailed as possible.

QUESTION

A) List the advantages and disadvantages of synchronising an AC generator to the utility
grid.
B) Describe the importance of frequency control for synchronous generators.
C) List the important applications of synchronising AC generator to the utility grid