Summary Statistics Are Given for Independent Simple Random Samples from Two

Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-test toconduct the required hypothesis test.
- $$\bar { x } _ { 1 } = 74.0 , \mathrm {~s} _ { 1 } = 4.5 , \mathrm { n } _ { 1 } = 11 , \overline { \mathrm { x } } _ { 2 } = 64.0 , \mathrm {~s} _ { 2 } = 5.1 , \mathrm { n } _ { 2 } = 9$$
Perform a two-tailed hypothesis test using a significance level of $\alpha = 0.01$ .

A) Test statistic: $t = 4.598$
B) Test statistic: $t = 2.646$
Critical values $= \pm 2.878$
Critical values $= \pm 2.921$
Reject $\mathrm { H } _ { 0 }$
Do not reject $\mathrm { H } _ { 0 }$
C) Test statistic: $t = 2.646$
D) Test statistic: $t = 4.598$
Critical values $= \pm 2.878$
Critical values $= \pm 2.921$
Do not reject $\mathrm { H } _ { 0 }$
Reject $\mathrm { H } _ { 0 }$

Correct Answer:

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