Summary Statistics Are Given for Independent Simple Random Samples from Two

Summary statistics are given for independent simple random samples from two populations. Preliminary data analysesindicate that the variable under consideration is normally distributed on each population. Decide whether use of thepooled t-test and pooled t-interval procedure is reasonable. Explain your answer.
- $\bar { x } _ { 1 } = 143.9 , \mathrm {~s} _ { 1 } = 17.2 , \mathrm { n } _ { 1 } = 7 , \bar { x } _ { 2 } = 212.9 , \mathrm {~s} _ { 2 } = 47.7 , \mathrm { n } _ { 2 } = 17$

A) Reasonable; the sample standard deviations suggest that the two population standard deviations are equal.
B) Reasonable; the sample standard deviations suggest that the two population standard deviations differ, however since the sample sizes are roughly equal, it is reasonable to use the pooled t-test.
C) Not reasonable; the sample standard deviations suggest that the two population standard deviations are equal, however since the sample sizes are not roughly equal, it is not reasonable to use the pooled t-test.
D) Not reasonable; the sample standard deviations suggest that the two population standard deviations differ and the sample sizes are not roughly equal.

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