Question: Explain what conditions must hold true to use the t
Explain what conditions must hold true to use the t distribution to make a confidence interval and to test a hypothesis about µ1 – µ2 for two independent samples selected from two populations with unknown but equal standard deviations.
Answer to relevant QuestionsThe following information was obtained from two independent samples selected from two normally distributed populations with unknown but equal standard deviations. n1 = 21 1 = 13.97 s1 = 3.78 n2 = 20 2 = 15.55 s1 = 3.26 a. ...Refer to the information given in Exercise 10.17. Test at a 1% significance level if µ1 is less than µ2. n1 = 21 1 = 13.97 s1 = 3.78 n2 = 20 2 = 15.55 s1 = 3.26 A high school counselor wanted to know if tenth-graders at her high school tend to have more free time than the twelfth-graders. She took random samples of 25 tenth-graders and 23 twelfth-graders. Each student was asked to ...Refer to Exercise 10.33. Test at a 5% significance level if the two population means are different. n1 = 14 1 = 109.43 s1 = 2.26 n2 = 15 2 = 113.88 s1 = 5.84 As mentioned in Exercise 10.29, a company claims that its medicine, Brand A, provides faster relief from pain than another company’s medicine, Brand B. A researcher tested both brands of medicine on two groups of randomly ...
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