8. po)A fast-food company advertises that the pre-cooked weight for its half-pound burgers is, on average, 0.5 Ibs. The company runs a regular quality control test that involves weighing a sample of burgers to see if the mean weight is significantly different than 0.5 lbs. Tina takes a random sample of 31 burgers from a batch of over a thousand burgers. She finds the sample mean weight of the burgers to be 0.54 Ibs with a standard deviation of 0.1 Ibs. She wants to use these sample data to test whether the mean weight of their burgers is significantly different than 0.5 lbs at the 5% significance level. (A) Let u be the population mean weight of the burgers. Set up the null- and alternative hypothesis. Ho: H1: (B) Find the value of the test statistic. (Show all work and include the formula for the test statistic (C) Find the critical value. (D) The conclusion is (circle exactly one answer) Fail to reject Ho. I) Reject Ho.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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8.
pu) A fast-food company advertises that the pre-cooked weight for its half-pound burgers is, on
average, 0.5 Ibs. The company runs a regular quality control test that involves weighing a sample of
burgers to see if the mean weight is significantly different than 0.5 lbs.
Tina takes a random sample of 31 burgers from a batch of over a thousand burgers. She finds the sample
mean weight of the burgers to be 0.54 Ibs with a standard deviation of 0.1 Ibs. She wants to use these
sample data to test whether the mean weight of their burgers is significantly different than 0.5 lbs at the
5% significance level.
(A) Let u be the population mean weight of the burgers. Set up the null- and alternative hypothesis.
Ho:
H1:
(B) Find the value of the test statistic. (Show all work and include the formula for the test statistic).
(C) Find the critical value.
(D) The conclusion is (circle exactly one answer)
(1)
Fail to reject Ho.
(II) Reject Ho.
Transcribed Image Text:8. pu) A fast-food company advertises that the pre-cooked weight for its half-pound burgers is, on average, 0.5 Ibs. The company runs a regular quality control test that involves weighing a sample of burgers to see if the mean weight is significantly different than 0.5 lbs. Tina takes a random sample of 31 burgers from a batch of over a thousand burgers. She finds the sample mean weight of the burgers to be 0.54 Ibs with a standard deviation of 0.1 Ibs. She wants to use these sample data to test whether the mean weight of their burgers is significantly different than 0.5 lbs at the 5% significance level. (A) Let u be the population mean weight of the burgers. Set up the null- and alternative hypothesis. Ho: H1: (B) Find the value of the test statistic. (Show all work and include the formula for the test statistic). (C) Find the critical value. (D) The conclusion is (circle exactly one answer) (1) Fail to reject Ho. (II) Reject Ho.
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