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The manufacturer of a candy bar advertises the population mean net weight of each bar as 2.5 oz. Grayson, a student majoring in statistics, believes that the population mean weight is not 2.5 oz. He tests the manufacturer's claim by recording the weight of 45 candy bars that he randomly selected and purchased over the course of several months. The sample mean weight of the 45 candy bars is 2.496 oz with a sample standard deviation of 0.012 oz. The test statistic t for a hypothesis test of Ho : μ-2.5 versus Ha : μ 2.5 is computed as 18-224, which has 44 degrees of freedom. If O.02

The manufacturer of a candy bar advertises the population mean net weight of each bar as 2.5 oz. Grayson, a student majoring in statistics, believes that the population mean weight is not 2.5 oz. He tests the manufacturer's claim by recording the weight of 45 candy bars that he randomly selected and purchased over the course of several months. The sample mean weight of the 45 candy bars is 2.496 oz with a sample standard deviation of 0.012 oz. The test statistic t for a hypothesis test of Ho : μ-2.5 versus Ha : μ 2.5 is computed as 18-224, which has 44 degrees of freedom. If O.02

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The manufacturer of a candy bar advertises the population mean net weight of each bar as 2.5 oz. Grayson, a student majoring in statistics, believes that the population mean weight is not 2.5 oz. He tests the manufacturer's claim by recording the weight of 45 candy bars that he randomly selected and purchased over the course of several months. The sample mean weight of the 45 candy bars is 2.496 oz with a sample standard deviation of 0.012 oz. The test statistic t for a hypothesis test of Ho : μ-2.5 versus Ha : μ 2.5 is computed as 18-224, which has 44 degrees of freedom. If O.02 <p-value 0.05 and α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true n mean weight of the candy bars is significantly not equal to 2.5 oz? Select all that apply. Select all that apply: Reject the null hypothesis that the true population mean weight of the candy bars is equal to 2.5 oz Fail to reject the null hypothesis that the true population mean weight of the candy bars is equal to 2.5 oz. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean weight of the candy bars is not equal to 2.5 oz There is not enough evidence at the a 0.05 level of significance to suggest that the true population mean weight of the candy bars is not equal to 2.5 oz
Transcribed Image Text:The manufacturer of a candy bar advertises the population mean net weight of each bar as 2.5 oz. Grayson, a student majoring in statistics, believes that the population mean weight is not 2.5 oz. He tests the manufacturer's claim by recording the weight of 45 candy bars that he randomly selected and purchased over the course of several months. The sample mean weight of the 45 candy bars is 2.496 oz with a sample standard deviation of 0.012 oz. The test statistic t for a hypothesis test of Ho : μ-2.5 versus Ha : μ 2.5 is computed as 18-224, which has 44 degrees of freedom. If O.02 <p-value 0.05 and α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true n mean weight of the candy bars is significantly not equal to 2.5 oz? Select all that apply. Select all that apply: Reject the null hypothesis that the true population mean weight of the candy bars is equal to 2.5 oz Fail to reject the null hypothesis that the true population mean weight of the candy bars is equal to 2.5 oz. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean weight of the candy bars is not equal to 2.5 oz There is not enough evidence at the a 0.05 level of significance to suggest that the true population mean weight of the candy bars is not equal to 2.5 oz
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