The average price of a college math textbook is $178 and the standard deviation is $24. Suppose that 6 textbooks are randomly chosen. Round all answers to 4 decimal places if necessary. a. What is the distribution of ¤? N( 178 9.7980 b. For the group of 6, find the probability that the average price is between $176 and $187. 0.4017 c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

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The average price of a college math textbook is $178 and the standard deviation is $24.
Suppose that 6 textbooks are randomly chosen.
Round all answers to 4 decimal places if necessary.
a. What is the distribution of ?
~ N( 178
9.7980 V
b. For the group of 6, find the probability that the average price is between $176 and $187.
0.4017 V
c. Find the first quartile for the average textbook price for this sample size. $
(round to the
nearest cent)
Transcribed Image Text:The average price of a college math textbook is $178 and the standard deviation is $24. Suppose that 6 textbooks are randomly chosen. Round all answers to 4 decimal places if necessary. a. What is the distribution of ? ~ N( 178 9.7980 V b. For the group of 6, find the probability that the average price is between $176 and $187. 0.4017 V c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)
Expert Solution
Step 1

Given that,

μ=178σ=24n=6

The distribution of x¯ follows normal distribution.

The values of mean and standard deviation of x¯ are,

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