Please answer all the blanks. Blank 1 option: A. Would not necessarily B. Would
ID: 3202867 • Letter: P
Question
Please answer all the blanks.
Blank 1 option:
A. Would not necessarily
B. Would
Blank 2 option:
A. Smaller
B. Larger
Blank 3 option:
A. (3.83, 3.96)
B. (3.81, 3.97)
C. (3.86, 3.92)
D. (3.79, 3.99)
2. What to expect of sample means Aa Aa Suppose that student acceptance data at a four-year university shows that, in a given year, the high school GPA of freshmen at acceptance to the university is symmetrically distributed with mean 3.89 and standard deviation 0.112. A random sample of 75 different freshmen from the same year is selected, and their average GPA is found to be 3.70. Suppose you took numerous repeated samples of size 75. From the Rule for Sample Means, you expect the frequency curve of means from the various samples to be approximately shaped (normal). be than you would expect for a sample of size 75. In this sample, the average GPA is In 95% of samples of 75 freshmen from the same year, the sample mean should fall within the interval (Note: Recall the Empirical Rule that describes the expected percentages for normal curves.)Explanation / Answer
1) as per central limit theorum frequency curve should be normal
hence would is correct answer.
2) it is smaller . cause it is smaller then 3.89 of population
3) for std error of mean =std deviaiton/(n)1/2 =0.112/(75)1/2 =0.0129
and for 95% confidence level , z =1.96
hence confidence interval of mean =mean +/- z*std error =3.89 +/- 1.96*0.0129
=3.86 ; 3.92
option C