Question

Asked Nov 15, 2019

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The average price of a college math textbook is $174 and the standard deviation is $23. Suppose that 44 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

- What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
- For the group of 44, find the probability that the average price is between $172 and $174.
- Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

Step 1

**1.**

In this context, it is given that the average price of a college math textbook is $174 corresponding to its standard deviation of $23.

Denote X as the speed for a randomly selected car.

For a random sample of 44, X follows normal with mean of the sampling distribution value of $174 and standard deviation of $3.46. That is **X~N(174, 23/SQRT(44)).**

Step 2

**2.**

The probability that the average price betw...

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