In a study of carbohydrate diet, an investigator wishes to test a hypothesis test for whether the population mean of cholesterol level among individuals taking medium carbohydrate diet for 4 months is different than 7.8 mmol/L A simple random sample (SRS) of 30 study participants is conducted. Subjects are randomized to receive medium carbohydrate diet for 4 months. The total cholesterol level at the time of entering the study had an average of 5.20 mmol/L and standard deviation of 1.3 mmol/L Calculate a 95% confidence interval (show your work) for the population mean of total cholesterol levels among those taking medium carbohydrate diet and use the confidence interval to draw a conclusion as to whether there is a difference in cholesterol levels. Choose the correct statement. O (4.7492. 5.6508) Do not reject HO since valuc of null hypothesis, 5.20 doces fall in this range. O (4.8216. 5.5783) Reject H0 since value of null hypothesis 78 does not fall in this range. O 14.7492. 5.6508) Reject HO since value of nul hypothesis. 7.8 does not tall in this range. None of the choices are correct.

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In a study of carbohydrate diet, an investigator wishes to test a hypothesis test for whether the population mean of cholesterol level among individuals taking medium carbohydrate
diet for 4 months is different than 7.8 mmol/L A simple random sample (SRS) of 30 study participants is conducted. Subjects are randomized to receive medium carbohydrate diet for
4 months. The total cholesterol level at the time of entering the study had an average of 5.20 mmol/L and standard deviation of 1.3 mmol/L
Calculate a 95% confidence interval (show your work) for the population mean of total cholesterol levels among those taking medium carbohydrate diet and use the confidence
interval to draw a conclusion as to whether there is a difference in cholesterol levels. Choose the correct statement.
O (4.7492, 5.6508) Do not reject HO sincc value of null hypothesis, 5.20 does fall in this range
O (4.8216. 5.5783) Reject H0 since value of null hypothesis 7.8 does not fall in this range.
O 14.7492. 5.6508) Reject H0 since value of null hypothesis. 78 does not fall in this range.
• None of the choices are correct.
Transcribed Image Text:In a study of carbohydrate diet, an investigator wishes to test a hypothesis test for whether the population mean of cholesterol level among individuals taking medium carbohydrate diet for 4 months is different than 7.8 mmol/L A simple random sample (SRS) of 30 study participants is conducted. Subjects are randomized to receive medium carbohydrate diet for 4 months. The total cholesterol level at the time of entering the study had an average of 5.20 mmol/L and standard deviation of 1.3 mmol/L Calculate a 95% confidence interval (show your work) for the population mean of total cholesterol levels among those taking medium carbohydrate diet and use the confidence interval to draw a conclusion as to whether there is a difference in cholesterol levels. Choose the correct statement. O (4.7492, 5.6508) Do not reject HO sincc value of null hypothesis, 5.20 does fall in this range O (4.8216. 5.5783) Reject H0 since value of null hypothesis 7.8 does not fall in this range. O 14.7492. 5.6508) Reject H0 since value of null hypothesis. 78 does not fall in this range. • None of the choices are correct.
Expert Solution
Step 1

Given that, mean is 5.20   and standard deviation is 1.3   n is 30

We ei use one sample z-confidence interval.

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