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 m 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 stributed. Complete parts (a) through (c) below. Now suppose the sample consists of 50 girls instead of 15. Repeat the test. etermine the null and alternative hypotheses. Choose the correct choice below. -A. Ho: µ= 54.3 Ο Β . Η.: μ= 54.3 O C. Ho: u#54.3 H3 u=54.3 H p > 54.3 Ha: u< 54.3 5 D. Ho: µ> 54.3 H p= 54.3 O E. Ho: µ= 54.3 H3 the 54.3 OF. Ho u<54.3 H3 u= 54.3 nd the test statistic. (Round to two decimal places as needed.) nd the p-value. 0.000 (Round to three decimal places as needed.) terpret the results of the test. v the significance level, hm Countre R ic cinnificanthu different from the Countr A nonulation mean at a sinnificance leval of 0 05 nce the p-value is Ho. There is evidence to conclude that the height for 10-year-old girls

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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
m 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
stributed. Complete parts (a) through (c) below.
Now suppose the sample consists of 50 girls instead of 15. Repeat the test.
etermine the null and alternative hypotheses. Choose the correct choice below.
- A. Ho: µ= 54.3
Ο Β. H : μ= 54.3
O C. Ho: u#54.3
H3 u=54.3
H p > 54.3
Ha: u< 54.3
- D. Ho: µ> 54.3
H p= 54.3
O E. Ho µ= 54.3
H3i the 54.3
OF. Ho u<54.3
H3 = 54.3
nd the test statistic.
(Round to two decimal places as needed.)
nd the p-value.
0.000 (Round to three decimal places as needed.)
terpret the results of the test.
nce the p-value is
V the significance level,
Ho. There is
evidence to conclude that the height for 10-year-old girls
om Country Ris sianificantlu different from the Countri A nonulation mean at a cinificanre level of 0 05
Transcribed Image Text: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 m 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 stributed. Complete parts (a) through (c) below. Now suppose the sample consists of 50 girls instead of 15. Repeat the test. etermine the null and alternative hypotheses. Choose the correct choice below. - A. Ho: µ= 54.3 Ο Β. H : μ= 54.3 O C. Ho: u#54.3 H3 u=54.3 H p > 54.3 Ha: u< 54.3 - D. Ho: µ> 54.3 H p= 54.3 O E. Ho µ= 54.3 H3i the 54.3 OF. Ho u<54.3 H3 = 54.3 nd the test statistic. (Round to two decimal places as needed.) nd the p-value. 0.000 (Round to three decimal places as needed.) terpret the results of the test. nce the p-value is V the significance level, Ho. There is evidence to conclude that the height for 10-year-old girls om Country Ris sianificantlu different from the Countri A nonulation mean at a cinificanre level of 0 05
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