PLEASE HELP ME ANSWER ALL OF THESE QUESTIONS. The following data come student he
ID: 3237166 • Letter: P
Question
PLEASE HELP ME ANSWER ALL OF THESE QUESTIONS.
The following data come student health records gathered in a survey of women's college athletics. The following data represent the serum cholesterol levels of nine athletes from Lehman College: 110 170 160 200 210 190 130 180 160 Calculate the average cholesterol level Calculate the standard deviation. Assume that this is a sample. Cholesterol is assumed to be normally distributed. Without knowing anything else about the population of female college athletes, what would you infer the mean cholesterol of all female college athletes, what would you infer the mean cholesterol of all female college athletes to be? How much error would you expect, on average, from a sample of 9 people (what is the SE? Sketch the sampling distribution using the answers provided. Make sure to include the mean and 2 standard errors from the mean. Assume that the population mean cholesterol level in all female college athletes is 190 mg/dl. What is the probability of gathering a sample of 9 female college athletes with a mean less than the mean you got from 1A? If a researcher wanted to test the hypothesis that female Lehman College athletes have cholesterol lower than the national average, would the researcher have enough evidence to support that claim?Explanation / Answer
Let the given variable is X,
X
110
170
160
200
210
190
130
180
160
Total =
1510
Question a)
Sample mean (x bar) = S x / n
= 1510 / 9
= 167.7778
The value of the sample mean is 167.7778
Question b)
Standard deviation = sqrt (S(x – x bar)^2/(n-1))
X
( x - x bar)
( x - x bar)^2
110
-57.7778
3338.2742
170
2.2222
4.9382
160
-7.7778
60.4942
200
32.2222
1038.2702
210
42.2222
1782.7142
190
22.2222
493.8262
130
-37.7778
1427.1622
180
12.2222
149.3822
160
-7.7778
60.4942
Total =
1510
Total =
8355.5558
Standard deviation = sqrt (8355.5558/(9-1))
= 32.3179
The value of the standard deviation is 32.3179
X
110
170
160
200
210
190
130
180
160
Total =
1510
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