Assume that a simple random sample has been selected and test the given Claim. I

Question

Assume that a simple random sample has been selected and test the given Claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Listed below are brain volumes in cm^3 of unrelated subjects used in a study. Use a 0.01 significance level to test the claim that the population of brain volumes has a mean equal to 1100.8 cm^3. 963 1026 1273 1078 1070 1174 1066 1346 1099 1204 What are the hypotheses? H_0: mu notequalto 1100.8 cm^3 H_1: mu = 1100.8 cm^3 H_0: mu = 1100.8 cm^3 H_1: mu

Explanation / Answer

Sol:

Null hypothesis:

Ho: mean=1100.8

Alternative Hypo

H1: mean not equal to 1100.8

117.6543

t=sample mean-pop mean/std dev/sqrt(n)

=1129.9-1100.8/117.6543/sqrt(10)

=0.0782

The P-Value is .93938.

Fail to rejec Null hypothesis.

conclusion:

the mean is not significantly different from 1100.8
The result is not significant at p < .01.

sample mean 1129.9 sample standrd dev

117.6543

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