For the following test, assume that the two samples are independent simple randomsamples selected from normally distributed populations and that the populationstandard deviations are equal (01 = 02) so that the standard error of the differencebetween means is obtained by pooling the sample variances.A researcher was interested in comparing the amount of time spent studying baboons bywomen and men from a group of anthropologists. Independent simple random samples of35 women and 36 men were selected, and each person was asked how many hours they had studied thebaboons during the previous week. The summary is shown in the table.WomenMenn - 35 women= 36 menn2I, = 17.1 hours , - 17.2 hours52 = 2.3 hours%3D51 = 1.5 hoursUse a 0.1 significance level to test the claim that the mean amount of time spent studying baboons bywomen is smaller than it is for men.What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)Ho: Select an answer v ?Select an answerH: Select an answer vSelect an answer vOriginal ClaimSelect an answerBased on the hypotheses, find the following:Test Statistic =(Round to three decimal places and show work in the "show work" box below.)p-value =(Round to four decimal places and show work in the "show work" box below.)Critical value(s) =|(Round to three decimal places.) Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. Thearrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these valuescorrespond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,to the right, between or left and right of the t-score(s).Shade: Left of a valueClick and drag the arrows to adjust the values.-2-12-1.5Decision: Select an answerConclusion: [Select an answerspent studying baboons by women is smaller than it is for men.the claim that the mean amount of time

Question

For the following test, assume that the two samples are independent simple randomsamples selected from normally distributed populations and that the populationstandard deviations are equal (01 = 02) so that the standard error of the differencebetween means is obtained by pooling the sample variances.A researcher was interested in comparing the amount of time spent studying baboons bywomen and men from a group of anthropologists. Independent simple random samples of35 women and 36 men were selected, and each person was asked how many hours they had studied thebaboons during the previous week. The summary is shown in the table.WomenMenn - 35 women= 36 menn2I, = 17.1 hours , - 17.2 hours52 = 2.3 hours%3D51 = 1.5 hoursUse a 0.1 significance level to test the claim that the mean amount of time spent studying baboons bywomen is smaller than it is for men.What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)Ho: Select an answer v ?Select an answerH: Select an answer vSelect an answer vOriginal ClaimSelect an answerBased on the hypotheses, find the following:Test Statistic =(Round to three decimal places and show work in the &#34;show work&#34; box below.)p-value =(Round to four decimal places and show work in the &#34;show work&#34; box below.)Critical value(s) =|(Round to three decimal places.) Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. Thearrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these valuescorrespond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,to the right, between or left and right of the t-score(s).Shade: Left of a valueClick and drag the arrows to adjust the values.-2-12-1.5Decision: Select an answerConclusion: [Select an answerspent studying baboons by women is smaller than it is for men.the claim that the mean amount of time

Accepted Answer

Let μ1 denotes the population mean amount of time spent studying baboons by woman, and μ2 denotes…