Problem 1. Suppose the wait time at local fast food restaurants follows a normal distribution with a population mean of 3 minutes and a population standard deviation of 1 minute. At the McDonald's on Maple Street you observed that among a random sample of 36 customers the mean wait time was 3.4 minutes. You are wondering if the wait time at this particular McDonald's is different from the population mean. a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at 0.05 significance level and state your conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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Problem 1. Suppose the wait time at local fast food restaurants follows a normal
distribution with a population mean of 3 minutes and a population standard deviation
of 1 minute. At the McDonald's on Maple Street you observed that among a random
sample of 36 customers the mean wait time was 3.4 minutes. You are wondering if the
wait time at this particular McDonald's is different from the population mean.
a. Setup the appropriate null and alternative hypotheses.
b. Construct the relevant test statistic.
c. Test the hypotheses at 0.05 significance level and state your conclusion.
d. Does your answer in part c change if using the 0.01 significance level?
Transcribed Image Text:blems Problem 1. Suppose the wait time at local fast food restaurants follows a normal distribution with a population mean of 3 minutes and a population standard deviation of 1 minute. At the McDonald's on Maple Street you observed that among a random sample of 36 customers the mean wait time was 3.4 minutes. You are wondering if the wait time at this particular McDonald's is different from the population mean. a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at 0.05 significance level and state your conclusion. d. Does your answer in part c change if using the 0.01 significance level?
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