Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative of a consumer advocate group wishes to see if the mean net weight is less than advertised and so tests the hypotheses Ho: H = 14, H1:H<14. She selects 16 bags of this brand at random and finds a sample mean of 13.829, a sample standard deviation of 0.24, and a calculated test statistic of t = -2.85 with P-value = 0.0087. Based on the data, she might have made a: Type I error, meaning that she concluded the contents of the bags are about 14 ounces, when the true mean net weight is really less than 14 ounces. OType I error, meaning that she concluded the contents of the bags are below the advertised mean net weight, when the true mean is not less than 14 ounces. Type II error, meaning that she concluded the contents of the bags are about 14 ounces, when the true mean net weight is really less than 14 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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Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative of a
consumer advocate group wishes to see if the mean net weight is less than advertised and so tests the
hypotheses Ho: = 14, H1:H< 14. She selects 16 bags of this brand at random and finds a sample mean of
13.829, a sample standard deviation of 0.24, and a calculated test statistic of t = -2.85 with P-value =
0.0087. Based on the data, she might have made a:
Type I error, meaning that she concluded the contents of the bags are about 14 ounces, when the true
mean net weight is really less than 14 ounces.
O Type I error, meaning that she concluded the contents of the bags are below the advertised mean net
weight, when the true mean is not less than 14 ounces.
O Type II error, meaning that she concluded the contents of the bags are about 14 ounces, when the true
mean net weight is really less than 14 ounces.
Type II error, meaning that she concluded the contents of the bags are below the advertised mean net
weight, when the true mean is not less than 14 ounces
Transcribed Image Text:Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative of a consumer advocate group wishes to see if the mean net weight is less than advertised and so tests the hypotheses Ho: = 14, H1:H< 14. She selects 16 bags of this brand at random and finds a sample mean of 13.829, a sample standard deviation of 0.24, and a calculated test statistic of t = -2.85 with P-value = 0.0087. Based on the data, she might have made a: Type I error, meaning that she concluded the contents of the bags are about 14 ounces, when the true mean net weight is really less than 14 ounces. O Type I error, meaning that she concluded the contents of the bags are below the advertised mean net weight, when the true mean is not less than 14 ounces. O Type II error, meaning that she concluded the contents of the bags are about 14 ounces, when the true mean net weight is really less than 14 ounces. Type II error, meaning that she concluded the contents of the bags are below the advertised mean net weight, when the true mean is not less than 14 ounces
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