Sunday
November 23, 2014

Homework Help: Statistics

Posted by Audrey on Sunday, August 4, 2013 at 11:23am.

The distribution of cholesterol levels of the residents of a state closely follows the normal curve. Investigators want to test whether the mean cholesterol level of the residents is 200 mg/dL or lower. A simple random sample of 12 residents has a mean cholesterol level of 185 mg/dL, with an SD of 20 mg/dL (computed as the ordinary SD of a list of 12 numbers, with 12 in the denominator).

Let m be the mean cholesterol level of the residents of the state, measured in mg/dL. Perform a t test of the hypotheses

Null: m = 200 Alternative: m < 200


QUESTION 1.

You are using data from a simple random sample to test the given hypotheses. Which of the following collections of observations is further required to justify the use of a t distribution to compute the P-value?

The distribution of the cholesterol levels of the residents of the state is close to normal.

The distribution of the cholesterol levels of the residents of the state is close to normal, with an unknown mean.

The distribution of the cholesterol levels of the residents of the state is close to normal, with an unknown mean and an unknown SD.

QUESTION 2

The t distribution that should be used has ______ degrees of freedom.

QUESTION 3

The value of the t statistic is closest to

-2 -2.1 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 -2.8 -2.9 -3

QUESTION 4

The P-value of the test is closest to

0.5% 1% 1.5% 2% 2.5% 3%

QUESTION 5

The conclusion of the test is to

reject the null hypothesis
not reject the null hypothesis

Thank you!!!!!

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