Question

Question 5 An carlier study claimed that U.S adults spent an average of 114 minutes per day with their family. A recently raken sample of 25 adults from a city show'eod that they spend an average of 109 minutes per day with their family, Ihe population deviation is I1 minutes. Assume that the times spent by adults with their families have an approximate normal distribution Using a 1% significance level test whether the mean time spent currently by all adults with their families in this city is different from 114 minutes a day a.Step 1: State the null and alternative hypotheses. Step 2: Select the distribution to use (check first) and write down the appropriate test statistic. Write down the rejection region of your test. Step 3: Compute the value of the test statistic. Step 4: Siate your conclusion (in one sentence, state whether or not the test rejects the null hypothesis and in another sentence apply the results to the problem).

Answer 1

ton Staudasd Devatron II saura size (m):25 Sumpa mean (X ) = 10 step1 :- t-distailbuctrion taitocal at dt = 25 21 and īy.senugdane 2.796 = (-ao ,-2.796) and (8,7%,s) Re}ection Region 17n sicp p value o.032 uefil tonuruthfo value > 이-o.ot srgulh cam ce At loy. n=0-10 Pvalue . = 0.05 cance P value