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The average cholesterol level for Americans is 176 mg/dL. A researcher wishes to determine whether eating...

The average cholesterol level for Americans is 176 mg/dL. A researcher wishes to determine whether eating a vegetarian diet can reduce cholesterol. She randomly selects 81 vegetarians and finds that there average cholesterol is 123.43 mg/dL with a standard deviation of 42.67 mg/dL. Is there enough evidence to suggest that a vegetarian diet can reduce cholesterol? Find the test statistic and the P-value. Test Statistic: Round your answer to two decimal places P < Use the table and round your answer to 4 decimal places.

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Answer #1

This is the left tailed test .

The null and alternative hypothesis is

H0 : = 176

Ha : < 176

Test statistic = t

= ( - ) / s / n

= (123.43 - 176) / 42.67 / 81

= -11.09

Test statistic = -11.09

df = 80

P-value = 0.0000

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