MY NOTES   Bags of a certain brand of tortilla chips claim to have a net weight of 12.5 oz. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H0: μ = 12.5, HA: μ < 12.5. To do this, he selects 24 bags of tortilla chips of this brand at random and determines the net weight of each. Data reveals a bell-shaped histogram, a sample mean of 12.31 ounces, and a standard deviation of 0.48 ounces.(a) What type of test is this? Two-sided, one-sample test Two-sided, two-sample test     One-sided, two-sample test One-sided, one-sample test (b) Given the test statistic = -1.94 and α = 0.05, which of the following statements is the decision? Reject H0; conclude the bags are underweight. Fail to reject H0; do not conclude the bags are underweight.     Fail to reject H0; conclude the the bags are underweight. Reject H0; conclude the bags are overweight.

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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MY NOTES
 
Bags of a certain brand of tortilla chips claim to have a net weight of 12.5 oz. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H0: μ = 12.5, HA: μ < 12.5. To do this, he selects 24 bags of tortilla chips of this brand at random and determines the net weight of each. Data reveals a bell-shaped histogram, a sample mean of 12.31 ounces, and a standard deviation of 0.48 ounces.

(a) What type of test is this?
Two-sided, one-sample test
Two-sided, two-sample test    
One-sided, two-sample test
One-sided, one-sample test

(b) Given the test statistic = -1.94 and α = 0.05, which of the following statements is the decision?
Reject H0; conclude the bags are underweight.
Fail to reject H0; do not conclude the bags are underweight.   
 Fail to reject H0; conclude the the bags are underweight.
Reject H0; conclude the bags are overweight.
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