Extracted text: A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho: µp = PT H1:µp PT O Ho: HF HT H1:µF + HT O Ho: PF PT H1:pF > PT %3D O Ho:PF = PT H1:PF + PT b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.

PTO Ho: HFHTH1:µF + HTO Ho: PFPTH1:pF > PT%3DO Ho:PF = PTH1:PF + PTb) Determine the test statistic. Round to two decimals.t =c) Find the p-value and round to 4 decimals.d) Make a...

A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-<br>year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the<br>mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the<br>mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10<br>significance level.<br>a) The null and alternative hypothesis would be:<br>O Ho: µp = PT<br>H1:µp < PT<br>O Ho: PF<br>PT<br>H1:PF < PT<br>O Ho:µF = HT<br>H1:µp > PT<br>O Ho: HF<br>HT<br>H1:µF + HT<br>O Ho: PF<br>PT<br>H1:pF > PT<br>%3D<br>O Ho:PF = PT<br>H1:PF + PT<br>b) Determine the test statistic. Round to two decimals.<br>t =<br>c) Find the p-value and round to 4 decimals.<br>d) Make a decision.<br>O Fail to reject the null hypothesis<br>O Reject the null hypothesis<br>e) Write the conclusion.<br>O There is not sufficient evidence to support the claim that enrollement is high at a four-year college<br>than a two-year college.<br>O There is sufficient evidence to support the claim that enrollement is high at a four-year college than<br>a two-year college.<br>

Extracted text: A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho: µp = PT H1:µp < pt="" o="" ho:="" pf="" pt="" h1:pf="">< pt="" o="" ho:µf="HT" h1:µp=""> PT O Ho: HF HT H1:µF + HT O Ho: PF PT H1:pF > PT %3D O Ho:PF = PT H1:PF + PT b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.

Jun 07, 2022

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PTO Ho: HFHTH1:µF + HTO Ho: PFPTH1:pF > PT%3DO Ho:PF = PTH1:PF + PTb) Determine the test statistic. Round to two decimals.t =c) Find the p-value and round to 4 decimals.d) Make a...

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