A consumer advocate wants to find out whether the soft drinks sold at a fast-food restaurant contains less than the advertised 16 ounces. A random sample of 10 independently chosen drinks produced a mean of 16.5 ounces and a standard deviation of 0.4 ounces. Assume that the distribution of serving sizes in the population is normally distributed. a. State the null hypothesis in both words and symbols, use m as the population mean weight of all the drinks labeled 16 ounces at this fast-food restaurant.  b. State the alternative hypothesis in both words and symbols c. Carry out the appropriate test. Explain what conclusion the consumer advocate should reach. d. Explain why no calculations are needed to show that the population mean is not significantly less than 16 ounces.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A consumer advocate wants to find out whether the soft drinks sold at a fast-food restaurant contains less than the advertised 16 ounces. A random sample of 10 independently chosen drinks produced a mean of 16.5 ounces and a standard deviation of 0.4 ounces. Assume that the distribution of serving sizes in the population is normally distributed.

a. State the null hypothesis in both words and symbols, use m as the population mean weight of all the drinks labeled 16 ounces at this fast-food restaurant. 

b. State the alternative hypothesis in both words and symbols

c. Carry out the appropriate test. Explain what conclusion the consumer advocate should reach.

d. Explain why no calculations are needed to show that the population mean is not significantly less than 16 ounces.

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