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In Country A, the population mean height for 10-year-old girls is 54.3 inches with a standard deviation of 2.3 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 53.9 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. O D. T10. p- 34.J O C. TIO- H- 34.J O A. TI0.p+ 34.J Ha u= 54.3 H3: u#54.3 Ha u< 54.3 k O E. Ho u> 54.3 Ο Ε. H :μ 54.3 Ο D. H, : μ< 54.3 H p= 54.3 H3: u= 54.3 Ha: u> 54.3 Check the conditions to see whether the test statistic will follow a t-distribution. random and the observations independent. The distribution of the heights is Normally distributed. The sample is are Find the test statistic. t= 60.14 (Round to two decimal places as needed.) Find the p-value. p= 0.000 (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is less than or equal to the significance level, do not reject Ho. There is insufficient evidence to conclude that the height for 10-year-old girls from Country B is significantly different from the Country A population mean at a significance level of 0.05. (1,1) TC More

In Country A, the population mean height for 10-year-old girls is 54.3 inches with a standard deviation of 2.3 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 53.9 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. O D. T10. p- 34.J O C. TIO- H- 34.J O A. TI0.p+ 34.J Ha u= 54.3 H3: u#54.3 Ha u< 54.3 k O E. Ho u> 54.3 Ο Ε. H :μ 54.3 Ο D. H, : μ< 54.3 H p= 54.3 H3: u= 54.3 Ha: u> 54.3 Check the conditions to see whether the test statistic will follow a t-distribution. random and the observations independent. The distribution of the heights is Normally distributed. The sample is are Find the test statistic. t= 60.14 (Round to two decimal places as needed.) Find the p-value. p= 0.000 (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is less than or equal to the significance level, do not reject Ho. There is insufficient evidence to conclude that the height for 10-year-old girls from Country B is significantly different from the Country A population mean at a significance level of 0.05. (1,1) TC More

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 54.3 inches with a standard deviation of 2.3 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 53.9 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. O D. T10. p- 34.J O A. TIO.p+34.J H3: u#54.3 Ha u< 54.3 Ha: u= 54.3 k O E. Ho: µ> 54.3 Ο Ε. H : μ 54.3 Ο D. H μ< 54.3 H p= 54.3 H3: u= 54.3 Hai u> 54.3 Check the conditions to see whether the test statistic will follow a t-distribution. random and the observations independent. The distribution of the heights is Normally distributed. The sample is are Find the test statistic. t= 60.14 (Round to two decimal places as needed.) Find the p-value. p= 0.000 (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is less than or equal to the significance level, do not reject Ho. There is insufficient evidence to conclude that the height for 10-year-old girls from Country B is significantly different from the Country A population mean at a significance level of 0.05. (1,1) TC More
Transcribed Image Text:In Country A, the population mean height for 10-year-old girls is 54.3 inches with a standard deviation of 2.3 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 53.9 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. O D. T10. p- 34.J O A. TIO.p+34.J H3: u#54.3 Ha u< 54.3 Ha: u= 54.3 k O E. Ho: µ> 54.3 Ο Ε. H : μ 54.3 Ο D. H μ< 54.3 H p= 54.3 H3: u= 54.3 Hai u> 54.3 Check the conditions to see whether the test statistic will follow a t-distribution. random and the observations independent. The distribution of the heights is Normally distributed. The sample is are Find the test statistic. t= 60.14 (Round to two decimal places as needed.) Find the p-value. p= 0.000 (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is less than or equal to the significance level, do not reject Ho. There is insufficient evidence to conclude that the height for 10-year-old girls from Country B is significantly different from the Country A population mean at a significance level of 0.05. (1,1) TC More
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