Week 6 Practice Test 2024-02-07 at 12.20.49 PM

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American Military University *

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302

Subject

Statistics

Date

Feb 20, 2024

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1

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@ chatceT [021] Week 6 Knowledge Check Homework Practice Questions Search Results | Course Hero < Back to Content = Week 6 Knowledge Check Homework Practice Questions @ @ Question 13 1/ 1 point A pet store owner believes that dog owners spend more on average than cat owners on their pets. The owner randomly records the sales of 40 customers that said they only owned dogs and 40 customers that said they only owned cats. What is the correct decision and summary based on the Excel output below? Assume the populations are approximately normally distributed with unequal variances. t-Test: Two-Sample Assuming Unequal Variances Dog Cat Mean 57.1695|53.8222. |Variance 588.088573.7205| (Observations 40| 40| Hypothesized Mean Difference| 0| df 78| it Stat 0.6211| P(T<=t) one-tail 0.2682 it Critical one-tail 1.6646| P(T<=t) two-tail 0.5363 It Critical two-tail 1.9908 What is the correct p-value? v(e) 02682 1.6646 1.9908 0.5363 ¥ Hide question 13 feedback This is an upper tailed, one tailed test because of the keyword more. Looking at the output, the p- value is given to us. No calculations are needed. P(T<=t)one-tail 0.2682 Question 14 1/ 1 point =t = A survey found that the average daily cost to rent a car in Los Angeles is $102.24 and in Las Vegas is $97.35. The data were collected from two random samples of 40 in each of the two cities and the population standard deviations are $5.98 for Los Angeles and $4.21 for Las Vegas. At the 0.05 level of significance, construct a confidence interval for the difference in the means and then decide if there is a significant difference in the rates between the two cities. Let the sample from Los Angeles be Group 1 and the sample from Las Vegas be Group 2. Confidence Interval (round to 4 decimal places):
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