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# ****PLEASE ANSWER ALL QUESTIONS**** Question 7 (1 point) The owner of a local golf course wants...

Question 7 (1 point)

The owner of a local golf course wants to determine the average age of the golfers that play on the course in relation to the average age in the area. According to the most recent census, the town has an average age of 38.58. In a random sample of 20 golfers that visited his course, the sample mean was 36.61 and the standard deviation was 7.505. Using this information, the owner calculated the confidence interval of (33.71, 39.51) with a confidence level of 90%. Which of the following statements is the best conclusion?

Question 7 options:

 1) The average age of all golfers does not significantly differ from 38.58.
 2) We are 90% confident that the average age of all golfers that play on the golf course is greater than 38.58
 3) We cannot determine the proper interpretation based on the information given.
 4) The percentage of golfers with an age greater than 38.58 is 90%.
 5) We are 90% confident that the average age of all golfers that play on the golf course is less than 38.58

Question 8 (1 point)

Independent random samples are taken at a university to compare the average GPA of seniors to the average GPA of sophomores. Given a 90% confidence interval for the difference between the true average GPAs (seniors - sophomores) of (-0.05, 0.78), what can you conclude?

Question 8 options:

 1) We do not have enough information to make a conclusion.
 2) We are 90% confident that the average GPA of seniors is greater than the average GPA of sophomores.
 3) We are 90% confident that the difference between the two sample GPAs falls within the interval.
 4) We are 90% confident that the average GPA of seniors is less than the average GPA of sophomores.
 5) There is no significant difference between the true average GPA for seniors and sophomores.

Question 9 (1 point)

Researchers in the corporate office of an airline wonder if there is a significant difference between the cost of a flight on Priceline.com vs. the cost of the same flight on the airline's own website. A random sample of 8 flights were tracked on Priceline.com and the airline's website and the mean difference in price (Priceline.com - Airline Site) was \$-57.384 with a standard deviation of \$19.2225. Create a 99% confidence interval for the true average difference in costs between the vendors.

Question 9 options:

 1) (-64.1802, -50.5878)
 2) (81.1671, -33.6009)
 3) (-81.1671, -33.6009)
 4) (-80.1878, -34.5802)
 5) (-60.8835, -53.8845)

Question 10 (1 point)

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.73, but given the number of people you've talked to about this same issue, you believe it is greater than 0.73. If you conduct a hypothesis test, what will the null and alternative hypotheses be?

Question 10 options:

 1) HO: p > 0.73 HA: p ≤ 0.73
 2) HO: p ≤ 0.73 HA: p > 0.73
 3) HO: p < 0.73 HA: p ≥ 0.73
 4) HO: p = 0.73 HA: p ≠ 0.73
 5) HO: p ≥ 0.73 HA: p < 0.73

Question 11 (1 point)

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.71, but given the number of people you've talked to about this same issue, you believe it is less than 0.71. The hypotheses for this test are Null Hypothesis: p ≥ 0.71, Alternative Hypothesis: p < 0.71. If you randomly sample 22 people and 12 of them believe that global warming is a serious issue, what is your test statistic and p-value?

Question 11 options:

 1) Test Statistic: -1.701, P-Value: 0.956
 2) Test Statistic: -1.701, P-Value: 0.044
 3) Test Statistic: 1.701, P-Value: 0.044
 4) Test Statistic: -1.701, P-Value: 0.088
 5) Test Statistic: 1.701, P-Value: 0.956

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