An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). No candy Two candies What are the null and alternative hypotheses? OA. Ho H1 H2 B. Ho: H1 H2 H₁₁₂ OD. Ho: H1 H2 H₁₁₂ μ n x S 24 18.74 1.52 FF H₁₁H₂ The test statistic, t, is 3.93. (Round to two decimal places as needed.) The P-value is 0.001. (Round to three decimal places as needed.) State the conclusion for the test. OA. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. OB. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. D. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. 24 21.03 2.42

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Suppose you estimate that approximately 8% of students on campus smoke. You decide to do a study about smoking and you randomly recruit 250 students to participate. a . Estimate the mean and st. deviation for this binomial situation. b. Would you be surprised if your sample contained 26 smokers? Why or why not? c. Would you be surprised if your sample contained 16 smokers? Why or why not? d. Would you be surprised if your sample contained 33 smokers? Why or why not?

You and your two friends paid the following amounts for a new MP3 player: $165, $210, and $225. A. What is the mean and standard deviation of the population of you and your friends? Mean (round to the nearest penny): u = $200 Standard Deviation (round to the penny): o = $31.22 B. Complete the table using the sample size of two prices, with replacement. x1, x2 Ex 165, 330 165 165 165, 375 187.5 210 165, 390 195 225 210, 187.5 375 165 210, 210 420 210 210, 435 217.5 225 225, 390 195 165 225, 435 217.5 210 225, 450 225

2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 52% of passengers have no checked luggage, 35% have only one piece of checked luggage and 13% have two pieces. We suppose a negligible portion of people check more than two bags. a) The average baggage-related revenue per passenger is: $ 15.7 X (please round to the nearest cent) b) The standard deviation of baggage-related revenue is: $ 0 (please round to the nearest cent) c) About how much revenue should the airline expect for a flight of 140 passengers? $ X (please round to the nearest dollar)

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Consider the following set of ungrouped sample data.   4   4   3   4   0   2   1   6   5   7     A.) Find the mean and standard deviation of the ungrouped sample data.   x = ______ ​(Type an integer or a​ decimal.)   s = ______

A population has a mean 75 and standard deviation 12. a. A random sample of 125 are taken. Find the mean and the standard deviation of the sample mean. b. How would the answer to part (a) change if the size of the sample were 500 instead of 125?

The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. a. First find both sample means and compare them. b. Test the hypothesis that the population means are different, using a significance level of 0.05. E Click the icon to view the table of prices. a. Find the sample mean for University A. (Round to the nearest cent as needed.) Find the sample mean for University B. (Round to the nearest cent as needed.) Compare the sample means. The sample mean is larger at b. Determine the hypotheses for this test. Let Hdifference be the mean of differences between the paired observations. Choose the correct answer below. OB. Ho: Hdifference 0 O E. Ho: Hdifference >0 = 0 Ha: Hdifference =0 Data Table #0 Find the test statistic for this test. %3= = (Round to…

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