5
QuizMultiple Choice

Sampling Distribution of the Sample Mean

Question 5 • NC-Math 4

The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds. Suppose two independent random samples, 25 of each, are taken and the mean popping times are calculated. Let R = the popping time of a randomly selected regular-sized bag and M = the popping time of a mini-sized bag. Which of the following best describes the standard deviation of the sampling distribution of ?

Question illustration
Answer
A
1 second
B
5 seconds
C
25 seconds
D
35 seconds
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