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1. in a test of the effectiveness of garlic for lowering​cholesterol, 45 subjects were treated with...

1. in a test of the effectiveness of garlic for lowering​cholesterol, 45 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes ​(before-after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 5.1 and a standard deviation of 15.7. Construct a 99​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL​ cholesterol? What is the confidence interval estimate of the population mean μ​?

_____ mg/dL < μ <_____ ​mg/dL ​(Round to two decimal places as​ needed.)

2. Listed below are the amounts of net worth​ (in millions of​dollars) of the ten wealthiest celebrities in a country. Construct a 90​% confidence interval. What does the result tell us about the population of all​ celebrities? Do the data appear to be from a normally distributed population as​ required? 264 217 191 162 161 152 150 150 150 145 What is the confidence interval estimate of the population mean u ? ​

$------million<μ< $-------million (Round to one decimal place as​ needed.)

What does the result tell us about the population of all​ celebrities? Select the correct choice below​ and, if​ necessary, fill in the answer​box(es) to complete your choice.

  1. We are confident that 90​% of all celebrities have a net worth between $------million<μ< $-------million (Round to one decimal place as​ needed.)
  2. We are 90​% confident that the interval from $------million<μ< $------- actually contains the true mean net worth of all celebrities. ​(Round to one decimal place as​ needed.)
  3. Because the ten wealthiest celebrities are not a representative​ sample, this​ doesn't provide any information about the population of all celebrities. Do the data appear to be from a normally distributed population as​ required?

A. ​Yes, but the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.

B. ​Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.

C. ​No, because the points lie reasonably close to a straight​ line, but there is a systematic pattern that is not a straight line pattern.

D. ​No, but the points in the normal quantile plot lie reasonably close to a straight line and show some systematic pattern that is a straight line pattern.

3. The pulse rates of 166 randomly selected adult males vary from a low of 35 bpm to a high of 107 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 98 % confidence that the sample mean is within 3 bpm of the population mean.

  1. Find the sample size using the range rule of thumb to estimate q.

N= ------ type whole number

B. assume that 10.7 bpm, based on values s= 10.7 bpm from the sample of 166 male pulse tares

N= ------ type whole number

  1. Compare the results from parts (a) and (b) which result is likely to be better?

The results from (a) is ----------- the results from part (b). The results from-----is likely to be better because ---------

4. Salaries of 45 college graduates who took a statistics course in college have a mean, x, of $ 64,900 . Assuming a standard deviation, q, of $19,881 , construct a 95 % confidence interval for estimating the population mean u.

$ -----<μ< $------ round to nearest integer as needed

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