Question

A scientist has read that the mean birth weight, ?, of babies born at full term...

A scientist has read that the mean birth weight, ?, of babies born at full term is 7.4 pounds. The scientist, believing that ? is different from this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.1 pounds and the standard deviation to be 1.8 pounds.

Based on this information answer the following questions

What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?

H0: ? is ?( less than or equal to greater than or equal to or not equal? 7.47.11.8

H1: ? is ? less than or equal to greater than or equal to not equal to ? 7.47.11.8


In the context of this test, what is a Type II error?

A Type II error is ? (rejecting or failing to reject) the hypothesis that ? is ? less than or equal to greater than or equal to not equal to ? 7.47.11.8 when, in fact,

? is ? less than or equal to greater than or equal to not equal to ? 7.47.11.8.


Suppose that the scientist decides not to reject the null hypothesis. What sort of error might she be making? ? (Type IType II)

Math   Statistics-And-Probability   
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Answer #1

Since scientinst is interested in testing claim that mean birth weight of babies born at full term is different from 7.4 pounds so it is a two tailed test. Following are hypothesis:

Null Hypothesis H0: ? is equal to 7.4

Alternate Hypothesis H1: ? is not equal to 7.4

A Type II error is failing to reject the hypothesis that ? is equal to 7.4 when in fact ? is not equal to 7.4

Since the scientist decides not to reject the null hypothesis so she might be making Type II error.

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