Teen obesity: The 2013 National Youth Risk Behavior Survey (YRBS) reported that 13.7% of U.S. students in grades 9 through 12 who attend public and private school were obese. Suppose that 15% of a random sample of 300 U.S. public high school students wereobese.

Source: Kann, L., Kinchen, S., Shanklin, S.L., Flint, K.H., Hawkins, J., Harris, W.A., et. al.(2013) YRBS 2013

Using the estimate from the 2013 YRBS, we calculate a standard error of 0.020. Since the data allows the use of the normal model, we can determine an approximate 95% confidence interval for the percentage of all U.S. public high school students who are obese.

Which interval is the approximate 95% confidence interval?

Group of answer choices

0.117 to 0.157

0.110 to 0.190

0.013 to 0.170

0.097 to 0.177

A nonprofit organization conducted a survey of 2080 metropolitan-area teachers regarding their beliefs about problems that hamper students' schooling. The following data were obtained.

What is the probability that a teacher selected at random from this group said that lack of parental support is the only problem hampering students' schooling? Hint: Draw a Venn diagram. (Round your answer to three decimal places.)

For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including:

1. Identifying the claim and H₀ and H_a,
2. Finding the appropriate standardized test statistic,
3. Finding the P-value or the rejection region,
4. Deciding whether to reject or fail to reject the null hypothesis, and
5. Interpreting the decision in the context of the original claim.

1. A guidance counselor claims that high school students in a college preparatory program score higher on the ACT test than those in a general program.  The mean ACT score for a random sample of 49 students in the college preparatory program is 22.2 with a standard deviation of 4.8.  The mean ACT score for a random sample of 46 students in the general program is 20.0 with a standard deviation of 5.4.  Perform the appropriate test on the counselor’s claim with regard to the difference between the mean ACT scores at α = 0.10.

A survey at Evashevski University showed that 75% of the student body believes that the school offers classes at appropriate times during the school day. To investigate with this feeling is shared by students specifically within the business department, the department polled a sample of 100 business students; 64 said they thought that classes were offered at appropriate times during the school day.

Use an α = .10.

A. Provide the appropriate hypothesis test criteria:

B. Using the data from the sample, answer the five fill-in-the-blank questions, and make the correct hypothesis test conclusion.

Based on these results, we should:

• Reject Ho

• Accept Ho

C. What does this poll say about business students at Evashevski University, compared to their peers at the university as a whole?

A major issue of contention at many colleges concerns the cost of meals that is rebated when a student does not sign up for the meal plan. The administration usually says that it should rebate only the marginal cost of the food alone, which is calculated at, say, $1.25 per meal. Students say that the marginal cost should include more costs, such as the saved space from fewer students using the facilities and the reduced labor expenses on food preparation. This can raise the marginal cost to $6.00.

• Who is correct, the administration, or the students?
• How might your answer differ if this argument were being conducted in the planning stage before the dining hall is built
• If you accept the $1.25 figure of a person not eating, how could you justify using a higher figure of about $6.00 for the cost of feeding a guest at the dining hall, as many schools do?

A school psychologist was interested in whether the 12 students in the chess club had a higher or lower mean grade point average (GPA) than the other students at a school. The overall GPA at the school was 2.55 but variability is unknown. The average GPA of students in the chess club was 2.76. Use the .05 significance level.
SS=2.16.

A) What is the appropriate test for the data?

(Z-Test, t-test for independent, t-test for dependent)

B) Conduct the appropriate hypothesis test by hand. Follow the five steps of hypothesis testing and provide a drawing.

C) Give an interpretation of this data and, when appropriate, report the statistics.

D) Explain how you found the characteristics of the comparison distribution. In your explanation, be sure to use the names of the concepts. For example, if you are calculating variance for the distribution of means call it that. Do not simply say "that number."

For which of the following research designs would a matched pairs test be ideal? a) You have data on the mean income of residents in 45 different cities from the 2010 census and income information on the same cities in 2018 and you want to see if average incomes have increased from 2010 to 2018 b) You have data on how a random sample of voters plan to vote before the most recent debate, and how another random sample in the same area plan to vote after the debate and you want to see if the debate swayed voters c) A matched pairs test would be ideal in all of the situations d) You have data on the mean GPA of students participating in Greek Life at the U of A and students participating in Greek Life at Temple University and you want to see if Greek Life students at the two universities have different GPAs on average

1. A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 64 like Snickers, 125 like Twix, 141 like Reese's Peanut Butter Cups, 30 like Snickers and Twix, 61 like Twix and Reese's Peanut Butter Cups, 43 like Snickers and Reese's Peanut Butter Cups, and 18 like all three kinds of chocolate candy. How many students like Twix and Reese's Peanut Butter Cups only?

2. A survey of 391 children given at a local elementary school showed that 200 like chocolate ice cream, 175 like pistachio ice cream, and 141 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentioned in the survey?

A major issue of contention at many colleges concerns the cost of meals that is rebated when a student does not sign up for the meal plan. The administration usually says that it should rebate only the marginal cost of the food alone, which it calculated at, say, $1.25 per meal. Students say that the marginal cost should include more costs, such as the saved space from fewer students using the facilities and the reduced labor expenses on food preparation. This can raise the marginal cost to $6.00.

• Who is correct, the administration or the students?
• How might your answer differ if this argument were being conducted in the planning stage before the dining hall is built
• If you accept the $1.25 figure of a person not eating, how could you justify using a higher figure of about $6.00 for the cost of feeding a guest at the dining hall, as many schools do?

A major issue of contention at many colleges concerns the cost of meals that is rebated when a student does not sign up for the meal plan. The administration usually says that it should rebate only the marginal cost of the food alone, which is calculated at, say, $1.25 per meal. Students say that the marginal cost should include more costs, such as the saved space from fewer students using the facilities and the reduced labor expenses on food preparation. This can raise the marginal cost to $6.00.

a. Who is correct, the administration or the students?

b. How might your answer differ if this argument were being conducted in the planning stage before the dining hall is built?

c. If you accept the $1.25 figure of a person not eating, how could you justify using a higher figure of about $6.00 for the cost of feeding a guest at the dining hall, as many schools do?