Posted: November 22nd, 2022

**Question 1: Problem 6.18 from your text. Do this problem by hand and scan/take a picture of your work and upload (You may also type your solution up)** Apartment rentals rates. You want to rent an unfurnished one bedroom apartment for next semester. The mean monthly rent for a random sample of 10 apartments advertised in the local newspaper is $640. Assume that the standard deviation is $90. Find a 95% confidence interval for the mean monthly rent for unfurnished one bedroom apartments available for rent in this community

Question 2: Problem 6.62 from the text. **Write your answers in a word document. Hypotheses: Translate each of the following research questions into appropriate** **Ho and** **Ha****.**

(a) Census Bureau data show that the mean household income in the area served by a shopping mall is $62,500 per year. A market research firm questions shoppers at the mall to find out whether the mean household income of mall shoppers is higher than that of the general population.

(b) Last year, your company’s service technicians took an average of 2.6 hours to respond to trouble calls from business customers who had purchased service contracts. Do this year’s data show a different average response time?

**Question 3: Problem 6.78 (part b only) from the text. Do this problem by hand and scan/take a picture of your work and upload (You may also type your solution up). You may use a calculator or excel to compute the mean of the sample**. Your company sells exercise clothing and equipment on the internet. To design the clothing, you collect data on the physical characteristics of your different types of customers. Here are the weights for a sample of 24 male runners. Assume that these runners can be viewed as a random sample of your potential customers. The weights are expressed in kilograms.

67.8 61.9 63.0 53.1 62.3 59.7 55.4 58.9

60.9 69.2 63.7 68.3 64.7 65.6 56.0 57.8

66.0 62.9 53.6 65.0 55.8 60.4 69.3 61.7

(a) calculate the confidence interval

(b) b) Based on this confidence interval, does the hypothesis test below reject *H*0 at the 5% significance level?

(c) (c) Would *H*0: *μ* = 63, be rejected at the 5% level if tested against a two-sided alternative?

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