After running the small study, Mary is planning a big study with 600 customers. The customers will be randomly selected from the sales database and will be asked to rate the running shoes on a scale

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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After running the small study, Mary is planning a big study with 600 customers. The customers will be randomly selected from the sales database and will be asked to rate the running shoes on a scale from 1-100 and indicate whether they plan to buy a pair of Prike running shoes within the next year.

As the deadline for the report is soon, Maria is worried about the response rate. From the data available from the last 5 years, Mary determines that on average 22.85 customers reply to the survey per day.

Can we use the Normal approximation to estimate the probability that on any given day there will be more than 35 replies? You don’t need to estimate the probability. You should provide a justification for whether we can or cannot use the approximation.

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