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The mean weight of all 20yr old women is 58.1 kg. A random sample of 40...

The mean weight of all 20yr old women is 58.1 kg. A random sample of 40 vegetarian women who are 20 had a mean weight of 55.3 kg with a standard deviation of 6.8kg. Is this statistically significant evidence of a difference in the mean weight of vegetarian women?

Math   Statistics-And-Probability   
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Answer #1

H0: = 58.1

Ha: 58.1

Test statistics

t = - / (S / sqrt(n) )

= 55.3 - 58.1 / (6.8 / sqrt(40) )

= -2.60

This is test statistics value.

Critical value at 0.05 level = -2.023 , 2.023

Rejection region = Reject H0 if | t | > 2.023

Since test statistics falls in rejection region, we have sufficient evidence to reject H0.

We conclude at 0.05 level that we have enough evidence to support the claim that there is difference

in the mean weight of vegetarian women.

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