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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95b254ff-a8cb-42eb-b779-f495ae378977%2Fddc47a61-140c-4ccf-a3c3-ed4928fb021c%2F9qbtldc_processed.jpeg&w=3840&q=75)
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
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