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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 6,820 with a standard deviation of 742. Of the 35 two-year colleges surveyed, the mean enrollment was 5,470 with a standard deviation of 709. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that nayr 5% of all students enrolled at a 4-year college in the Unites States and nayr 5% of all enrolled at a 2-year college in the United States? OYes No b. Is n4yr 30 and nur 30? ONO Yes Test the claim: t a. Determine the null and alternative hypotheses. Ho: Ay Ha Hay b. Determine the test statistic. Round to four decimal places. ? 2yr ? 2yr c. Find the p-value. Round to 4 decimals. p-value =

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 6,820 with a standard deviation of 742. Of the 35 two-year colleges surveyed, the mean enrollment was 5,470 with a standard deviation of 709. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that nayr 5% of all students enrolled at a 4-year college in the Unites States and nayr 5% of all enrolled at a 2-year college in the United States? OYes No b. Is n4yr 30 and nur 30? ONO Yes Test the claim: t a. Determine the null and alternative hypotheses. Ho: Ay Ha Hay b. Determine the test statistic. Round to four decimal places. ? 2yr ? 2yr c. Find the p-value. Round to 4 decimals. p-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 6,820 with a standard deviation of 742. Of the 35 two-year colleges surveyed, the mean enrollment was 5.470 with a standard deviation of 709. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that nayr5% of all students enrolled at a 4-year college in the Unites States and nayr 5% of all enrolled at a 2-year college in the United States? Yes ONO b. Is mar 30 and 2 > 30? O No Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: Hayr Ha Hay ? 2yr ?442yr b. Determine the test statistic. Round to four decimal places. c. Find the p-value. Round to 4 decimals. p-value = ha
Transcribed Image 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 6,820 with a standard deviation of 742. Of the 35 two-year colleges surveyed, the mean enrollment was 5.470 with a standard deviation of 709. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that nayr5% of all students enrolled at a 4-year college in the Unites States and nayr 5% of all enrolled at a 2-year college in the United States? Yes ONO b. Is mar 30 and 2 > 30? O No Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: Hayr Ha Hay ? 2yr ?442yr b. Determine the test statistic. Round to four decimal places. c. Find the p-value. Round to 4 decimals. p-value = ha
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