Posted: December 20th, 2023

In testing a hypothesis about two population means

1) In testing a hypothesis about two population means, if the t-distributionis used, wemust assume _______.Select one:a. the standard deviations are not the sameb. the population means are the samec. the sample sizes are equald. both populations are normally distributed2) A marketing firm asked a random set of married and single men as to how muchmoney they were willing to spend for a vacation. Test at= 0.05, is there adifference in the two amounts?Married menSingle menSample size5050Mean spending380325Sample variance60009000Assume that the population from which the samples are taken are normally distributed andthe population variances are not equal.The conclusion for this test is:Select one:a. There is not enough information to give the conclusion.b. There is enough evidence to conclude that there is no difference in the two amounts.c. There is not enough evidence to conclude that there is a difference in the two amounts.d. There is enough evidence to conclude that there is a difference in the two amounts.3) A random sample of 36 items is taken from a population which has a populationvariance of 144. The resulting sample mean is 45. A random sample of 36 items istaken from a population which has a population variance of 121. The resulting samplemean is 49. Using this information, calculate a 98% confidence interval for thedifference in means of these two populations.Select one:a. –8.46 to 0.46b. –10.99 to 2.99c. –10.32 to 2.32d. –9.32 to 1.324) Restaurateur, Daniel Valentine, is evaluating two sites, Port Douglas and MissionBeach, for his next restaurant. He wants to prove that Port Douglas residents(population 1) dine out more often than Mission Beach residents (population 2).Denny commissions a market survey to test this hypothesis. The market researcherused a random sample of 64 families from each town, and reported the following:= 15 times per month andWith21= 14 times per month. Assume that σ1 = 2 and σ2 = 3.= 0.01, the critical z-value is _________________.Select one:a. 2.33b. 1.96c. –2.33d. –1.965) A researcher wishes to determine the difference in two population means. To do this,she randomly samples 9 items from each population and calculates a 90% confidenceinterval. The sample from the first population produces a mean of 780 with a standarddeviation of 240. The sample from the second population produces a mean of 890with a standard deviation of 280. Assume that the values are normally distributed ineach population. The t-value used for this is _______.Select one:a. 1.746b. 1.337c. 1.734d. 1.8606) Restaurateur, Daniel Valentine, is evaluating two sites, Port Douglas and MissionBeach, for his next restaurant. He wants to prove that Port Douglas residents(population 1) dine out more often than Mission Beach residents (population 2).Denny commissions a market survey to test this hypothesis. The market researcherused a random sample of 64 families from each town, and reported the following_1= 15 times per month and2= 14 times per month. Assume that σ1 = 2 and σ2 = 3.With = 0.01, the appropriate decision is _________________.Select one:a. reject the alternate hypothesis μ1– μ2 ≠ 0b. accept the alternate hypothesis μ1– μ2 > 0c. reject the null hypothesis μ1– μ2 = 0d. fail to reject the null hypothesis μ1 – μ2 = 0Restaurateur, Daniel Valentine, is evaluating two sites, Port Douglas and Mission Beach, forhis next restaurant. He wants to prove that Port Douglas residents (population 1) dine outmore often than Mission Beach residents (population 2). Denny plans to test this hypothesisusing a random sample of 81 families from each town. His null hypothesis is __________.Select one:a. μ1 – μ2 > 0b. μ1 – μ2 = 0c. μ1 – μ2 > 0d. μ1 – μ2 < 0Restaurateur, Daniel Valentine, is evaluating two sites, Port Douglas and Mission Beach, forhis next restaurant. He wants to prove that Port Douglas residents (population 1) dine outmore often than Mission Beach residents (population 2). Denny commissions a market surveyto test this hypothesis. The market researcher used a random sample of 64 families from eachtown, and reported the following: 1 = 15 times per month and 2 = 14 times per month.Assume that σ1 = 2 and σ2 = 3. With= 0.01, the observed z-value is _________________.Select one:a. 4.92b. 2.22c. 12.81d. 3.58A marketing firm asked a random set of married and single men as to how much money theywere willing to spend for a vacation. Test at= 0.05, is there a difference in the twoamounts?Married menSingle menSample size5050Mean spending380325Sample variance60009000Assume that the population from which the samples are taken are normally distributed andthe population variances are not equal.The test value for the test is:Select one:a. Ζ = 1.52b. t = 1.52c. Ζ = 3.175d. t = 3.175Restaurateur, Daniel Valentine, is evaluating two sites, Port Douglas and Mission Beach, forhis next restaurant. He wants to prove that Port Douglas residents (population 1) dine outmore often than Mission Beach residents (population 2). Denny plans to test this hypothesisusing a random sample of 81 families from each town. His alternate hypothesis is__________.Select one:a. μ1 – μ2 > 0b. μ1 – μ2 < 0c. μ1 – μ2 ≥ 0d. μ1 – μ2 ≠ 0

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