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e. Assuming all other data is the same, except for sample size, match up the fol

ID: 3304582 • Letter: E

Question

e. Assuming all other data is the same, except for sample size, match up the following Sam Sizes with their appropriate Intervals (in scrambled order). (1) Sample Sizes: 60 32 Intervals: (32.45, 46.81) (35.29, 43.97) (29.46, 49.80) f All of the following datasets below have a mead of 24. Without calculating, tell me which data set belew has the highcst standard devís tion, and which has the lowest standard deviation. (1) 14, 16, 24, 25, 41 0, 2,4, 54, 60 le 22, 23, 24, 24,27 highsL g. In 2004, the average ACT score was 21 with a standard deviation of 3.3. The average SAT score was 997 with a standard deviation of174, Juan scored a 30 on the ACT, while James scored a 1450 on the SAT. Who scored better? (Hint: Use Z-Scores to answer this question) (3) an 174 The calculated 99% confidence interval for the proportion of college students that hate e.

Explanation / Answer

from the property of confidence interval as we increase the sample size ; the interval width got reduces.

therefore for sample size 32 --- interval is (29.46 ,49.80)

for for sample size 48 ---- interval is (32.45 ; 46.81)

for sample size 60 ----   interval is (35.29 ; 43.97)

please revert if further clarification is required

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