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(e) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? O Yes No Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 18 of this year's entering students and finds that their mean IQ score is 121, with a standard deviation of 13. The college records indicate that the mean IQ score for entering students from previous years is 114. Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho, and the alternative hypothesis H₁. Н Ho H₁ :] H, : : 0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) ☐ (d) Find the p-value. (Round to three or more decimal places.) μ σ р ☑ S == ロ=ロ □□ □□ □≠□ □<□ □<ロ G

(e) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? O Yes No Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 18 of this year's entering students and finds that their mean IQ score is 121, with a standard deviation of 13. The college records indicate that the mean IQ score for entering students from previous years is 114. Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho, and the alternative hypothesis H₁. Н Ho H₁ :] H, : : 0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) ☐ (d) Find the p-value. (Round to three or more decimal places.) μ σ р ☑ S == ロ=ロ □□ □□ □≠□ □<□ □<ロ G

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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(e) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? O Yes No
Transcribed Image Text:(e) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? O Yes No
Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 18 of this year's entering students and finds that their mean IQ score is 121, with a standard deviation of 13. The college records indicate that the mean IQ score for entering students from previous years is 114. Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho, and the alternative hypothesis H₁. Н Ho H₁ :] H, : : 0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) ☐ (d) Find the p-value. (Round to three or more decimal places.) μ σ р ☑ S == ロ=ロ □□ □□ □≠□ □<□ □<ロ G
Transcribed Image Text:Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 18 of this year's entering students and finds that their mean IQ score is 121, with a standard deviation of 13. The college records indicate that the mean IQ score for entering students from previous years is 114. Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho, and the alternative hypothesis H₁. Н Ho H₁ :] H, : : 0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) ☐ (d) Find the p-value. (Round to three or more decimal places.) μ σ р ☑ S == ロ=ロ □□ □□ □≠□ □<□ □<ロ G
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