MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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According to a food website, the mean consumption of popcorn annually by Americans is 54 quarts. The marketing division of the food website unleashes an
aggressive campaign designed to get Americans to consume even more popcorn. Complete parts (a) through (c) below.
....
(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign.
Ho:
H;:
(Type integers or decimals. Do not round.)
(b) A sample of 900 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put
out by the marketing department.
O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
B. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
OC. There is sufficient evidence to conclude that the mean consumption of popcorn has risen.
O D. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen.
(c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 54 quarts. Has a Type I or Type Il error been made by
the marketing department? If we tested this hypothesis at the a = 0.01 level of significance, what is the probability of committing this error? Select the
correct choice below and fill in the answer box within your choice.
(Type an integer or a decimal. Do not round.)
O A. The marketing department committed a Type Il error because the marketing department rejected the null hypothesis when it was true. The probability of
making a Type Il error is
O B. The marketing department committed a Type I error because the marketing department rejected the null hypothesis when it was true. The probability of
making a Type l error is
OC. The marketing department committed a Type Il error because the marketing department did not reject the alternative hypothesis when the null hypothesis
was true. The probability of making a Type Il error is.
O D. The marketing department committed a Type I error because the marketing department did not reject the alternative hypothesis when the null hypothesis
was true. The probability of making a Type I error is
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Transcribed Image Text:According to a food website, the mean consumption of popcorn annually by Americans is 54 quarts. The marketing division of the food website unleashes an aggressive campaign designed to get Americans to consume even more popcorn. Complete parts (a) through (c) below. .... (a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Ho: H;: (Type integers or decimals. Do not round.) (b) A sample of 900 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. B. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. OC. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. O D. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. (c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 54 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the a = 0.01 level of significance, what is the probability of committing this error? Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) O A. The marketing department committed a Type Il error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type Il error is O B. The marketing department committed a Type I error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type l error is OC. The marketing department committed a Type Il error because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. The probability of making a Type Il error is. O D. The marketing department committed a Type I error because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. The probability of making a Type I error is
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