Jo participated in a read-a-thon to raise money for a local library. She raised $20 plus $1.50 per book that she red. She raised
a total of $59. Let X represent the number of books Jo read. In the first blank, write an equation that can be used yo determine the number of books Jo read. In the second blank, answer how many books did she read?
1 answer:
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Using the z-distribution, a sample size of 180 is needed for the estimate.
<h3>What is a z-distribution confidence interval?</h3>The confidence interval is:
The margin of error is given by:
In which:
is the sample mean.
- z is the critical value.
- n is the sample size.
is the standard deviation for the population.
In this problem, we have a 98% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 2.327.
The population standard deviation is of , and to find the sample size, we have to solve for n when M = 4.
Hence:
n = 179.03.
Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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