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Suppose the average male brain weight (in grams) is estimated to be 13201320 grams. A 1905...

Suppose the average male brain weight (in grams) is estimated to be 13201320 grams. A 1905 study by R.J. Gladstone measured the brain weight of 134134 randomly selected deceased male subjects. The data provided show the brain weights of each of the subjects.

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Suppose Gladstone has reason to believe that his data are different than the historical data, and he therefore wishes to test the hypothesis that the true mean brain weight of a male human is equal to 13201320 grams.

Select the true statement.

A ?t‑test is not appropriate to test this claim because the data were not collected using randomization.

A ?t‑test is not appropriate to test this claim because the distribution of brain weight is not roughly unimodal.

A ?t‑test is appropriate to test this claim.

A ?t‑test is not appropriate to test this claim because brain weight is not a quantitative variable.

A ?t‑test is not appropriate to test this claim because the sample size is too small.

The null hypothesis for this ?t‑test is

?0:?=1320H0:μ=1320

and the alternative hypothesis is

?1:?≠1320H1:μ≠1320

Conduct a ?t‑test at the ?=0.05α=0.05 level to test his claim. What are the ?t‑statistic and ?p‑value for this test? Please round your answers to the nearest three decimal places.

?t =

?p =

0 0
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