Question

A) In the first half of 2019, 18,979 previously owned homes were sold in San Diego County. The distribution of the sales prices of these homes was skewed to the right, with a mean of $606,745 and a standard deviation of $87,880. Which of the following describes the sampling distribution of the sample mean for all possible samples of size 100?

B) In the previous question, what is the probability that our sample will have a mean of less than $500,000?

C) What did I say was the most common error students make on the types of questions above?

Answer 1

a)

It describes the normal distribution of sample n = 100

b)

This is a normal distribution question with

Sample size (n) = 100

Since we know that

P(x < 500000.0)=?

The z-score at x = 500000.0 is,

z = -12.1467

This implies that

c)

A most common error is to forget to convert the population tendencies to sample ones

PS: you have to refer z score table to find the final probabilities.

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