Question

1. You own a small storefront retail business and are interested in determining the average amount of money a typical customer spends per visit to your store. You take a random sample over the course of a month for 8 customers and find that the average dollar amount spent per transaction per customer is $106.745 with a standard deviation of $13.7164. Create a 95% confidence interval for the true average spent on all customers per transaction.

Question 1 options:

	1) ( 95.562 , 117.928 )
	2) ( 101.896 , 111.594 )
	3) ( 95.278 , 118.212 )
	4) ( 104.38 , 109.11 )
	5) ( -95.278 , 118.212 )

2. The owner of a local golf course wanted to determine the average age (in years) of the golfers that played on the course. In a random sample of 21 golfers that visited his course, the sample mean was 46.5 years old and the standard deviation was 7.03 years. Using this information, the owner calculated the confidence interval of (43.3, 49.7) with a confidence level of 95% for the average age. Which of the following is an appropriate interpretation of this confidence interval?

Question 2 options:

	1) We cannot determine the proper interpretation of this interval.
	2) We are 95% confident that the proportion of the ages of all golfers is between 43.3 and 49.7 years old.
	3) We are 95% confident that the average age of the golfers surveyed is between 43.3 and 49.7 years old.
	4) We are 95% confident that the average age of all golfers that play on the golf course is between 43.3 and 49.7 years old.
	5) We are certain that 95% of the average ages of all golfers will be between 43.3 and 49.7 years old.

3. To design a new advertising campaign, Ford Motor Company would like to estimate the proportion of drivers of the new Ford Fusion that are women. In a random sample of 90 Fusion owners, 50 of them were women. What is the 90% confidence interval estimating the proportion of all drivers who are women?

Question 3 options:

	1) ( 0.4694 , 0.64171 )
	2) ( 0.50318 , 0.60793 )
	3) ( -0.4694 , 0.64171 )
	4) ( 0.48843 , 0.62268 )
	5) ( 0.35829 , 0.5306 )

4. Based on past data, the producers of Ice Mountain bottled water knew that the proportion of people who preferred Ice Mountain to tap water was 0.773. To see how consumer perception of their product changed, they decided to conduct a survey. Of the 63 respondents, 46 indicated that they preferred Ice Mountain to the tap water in their homes. The 90% confidence interval for this proportion is ( 0.6382 , 0.8221 ). What is the best conclusion of those listed below?

Question 4 options:

	1) The proportion of consumers who prefer Ice Mountain is 0.773 with 90% confidence.
	2) We can claim that the proportion of consumers who prefer Ice Mountain to their tap water is larger than 0.773.
	3) We can not claim that the proportion of consumers who prefer Ice Mountain to their tap water differs from 0.773.
	4) The confidence interval does not provide enough information to form a conclusion.
	5) We can claim that the proportion of consumers who prefer Ice Mountain to their tap water is smaller than 0.773.

5. A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.65, but given the number of people you've talked to about this same issue, you believe it is greater than 0.65. If you conduct a hypothesis test, what will the null and alternative hypotheses be?

Question 5 options:

	1) HO: p ≤ 0.65 HA: p > 0.65
	2) HO: p > 0.65 HA: p ≤ 0.65
	3) HO: p ≥ 0.65 HA: p < 0.65
	4) HO: p = 0.65 HA: p ≠ 0.65
	5) HO: p < 0.65 HA: p ≥ 0.65

7. 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 randomly samples 28 other students and finds that 9 of them use iPhones, what is the test statistic and p-value?

Question 7 options:

	1) Test Statistic: -1.471, P-Value: 0.142
	2) Test Statistic: -1.471, P-Value: 0.071
	3) Test Statistic: 1.471, P-Value: 0.071
	4) Test Statistic: -1.471, P-Value: 0.929
	5) Test Statistic: 1.471, P-Value: 0.929

8. A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.66, but given the number of people you've talked to about this same issue, you believe it is less than 0.66. The hypotheses for this test are Null Hypothesis: p ≥ 0.66, Alternative Hypothesis: p < 0.66. If you randomly sample 28 people and 22 of them believe that global warming is a serious issue, what is your test statistic and p-value?

Question 8 options:

	1) Test Statistic: -1.404, P-Value: 0.92
	2) Test Statistic: -1.404, P-Value: 0.08
	3) Test Statistic: 1.404, P-Value: 1.84
	4) Test Statistic: 1.404, P-Value: 0.92
	5) Test Statistic: 1.404, P-Value: 0.08

9. A student at a university wants to determine if the proportion of students that use iPhones is different from 0.35. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.35, Alternative Hypothesis: p ≠ 0.35. If the student takes a random sample of students and calculates a p-value of 0.8785 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 9 options:

	1) The proportion of students that use iPhones is significantly different from 0.35.
	2) We did not find enough evidence to say a significant difference exists between the proportion of students that use iPhones and 0.35
	3) We did not find enough evidence to say the proportion of students that use iPhones is larger than 0.35.
	4) The proportion of students that use iPhones is equal to 0.35.
	5) We did not find enough evidence to say the proportion of students that use iPhones is less than 0.35.

10. A student at a university wants to determine if the proportion of students that use iPhones is less than 0.33. The hypotheses for this scenario are as follows. Null Hypothesis: p ≥ 0.33, Alternative Hypothesis: p < 0.33. If the student takes a random sample of students and calculates a p-value of 0.0466 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 10 options:

	1) The proportion of students that use iPhones is greater than or equal to 0.33.
	2) The proportion of students that use iPhones is significantly larger than 0.33.
	3) We did not find enough evidence to say the proportion of students that use iPhones is less than 0.33.
	4) The proportion of students that use iPhones is significantly different from 0.33.
	5) The proportion of students that use iPhones is significantly less than 0.33.

Answer 1

my dear student as per HomeworkLib rules I have solved the first one question Thank you.