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.)

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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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