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In Country A, the population mean height for 10-year-old girls is 53.6 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 52.5 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. B. Ho: H= 53.6 O A. Ho: u53.6 H:u= 53.6 OC. Ho: u= 53.6 Hiµ<53.6 H: u#53.6 O D. Ho: u> 53.6 Hiµ= 53.6 O E. Ho: u<53.6 Hiµ= 53.6 OF. Ho: u= 53.6 Hiµ > 53.6 Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations independent. The distribution of the heights is Normally distributed. are Find the test statistic. (Round to two decimal places as needed.)

In Country A, the population mean height for 10-year-old girls is 53.6 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 52.5 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. B. Ho: H= 53.6 O A. Ho: u53.6 H:u= 53.6 OC. Ho: u= 53.6 Hiµ<53.6 H: u#53.6 O D. Ho: u> 53.6 Hiµ= 53.6 O E. Ho: u<53.6 Hiµ= 53.6 OF. Ho: u= 53.6 Hiµ > 53.6 Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations independent. The distribution of the heights is Normally distributed. are Find the test statistic. (Round to two decimal places as needed.)

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
Section10.4: Distributions Of Data
Problem 19PFA
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In Country A, the population mean height for 10-year-old girls is 53.6 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 52.5 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. Ο . H : μ# 53.6 Hai µ= 53.6 В. Но и-53.6 Ha: µ#53.6 C. Ho: µ= 53.6 Ha: µ< 53.6 %3D D. Ho: µ> 53.6 Hai H= 53.6 E. Ho: µ< 53.6 Ha: H= 53.6 F. Но: и3D53.6 Ha: µ> 53.6 %3D Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations are independent. The distribution of the heights is Normally distributed. Find the test statistic. t= (Round to two decimal places as needed.)
Transcribed Image Text:In Country A, the population mean height for 10-year-old girls is 53.6 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 52.5 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. Ο . H : μ# 53.6 Hai µ= 53.6 В. Но и-53.6 Ha: µ#53.6 C. Ho: µ= 53.6 Ha: µ< 53.6 %3D D. Ho: µ> 53.6 Hai H= 53.6 E. Ho: µ< 53.6 Ha: H= 53.6 F. Но: и3D53.6 Ha: µ> 53.6 %3D Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations are independent. The distribution of the heights is Normally distributed. Find the test statistic. t= (Round to two decimal places as needed.)
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