A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 30 ounces. The distribution of weights is known tobe normal, with standard deviation 1.2. A random sample of 30 boxes yielded an average weight of 30.04 ounces. Suppose an inspector wantsto test the null hypothesis that the population mean weight is at least 30 ounces. That is, test the null hypothesisagainst the altemative hypothesisH1 : µ < 30Answer the following, rounding off your answers to two decimal places.(a) What is the test statistic used in the decision rule?(b) What is the critical value the inspector will use? Use a 10% level of significance.(c) What decision do you make?OA. Do not reject the null hypothesis.B. Reject the null hypothesis.

Z statistics for population mean.

Answered: A manufacturer of detergent claims that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The null and alternate hypotheses are: He: P₁ =H₂ H₁ H₁ #P₂ A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. The population variances are assumed to be equal. At the 0.10 significance level, is there a difference in the population means? a. Is this a one-tailed or a two-tailed test? O One-tailed test. OTwo-tailed test. b. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The decision rule is to reject H0 if t
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. A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 3.12 s = 0.59 n = 9 α = 0.01 H0: µ = 2.85 H1: µ > 2.85 The test statistics is (Round to three decimal places)
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=52.8Ho:μ=52.8 Ha:μ<52.8Ha:μ<52.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 68.6 49.4 55.1 46.6 37.3 64.7 53.4 56.9 49.1 42.7 59.3 51.5 44.1 44.8 43.8 46 56.9 64.7 51.8 47.7 53.4 50.5 50.2 37.9 41.6 56.6 58.9 35.2 53.4 56.3 50.7 49.9 61.2 75.9 56 42 65.4 48 56.3 51.8 51 45.4 55.4 54.6 59.6 45.7 71.1 61.2 75.9 53.7 51.5 44.8 56.6 26.1 49.1 32.3 75.9 55.1 53.7 75.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
C. Compute the test value D. Make a decision
We will _______ if the test statistic lands in the unlikely region. Group of answer choices A. reject the alternative hypothesis B. fail to reject the null hypothesis C. cannot determine D. reject the null hypothesis and accept the alternative hypothesis
A marketing researcher would like to compare the mean amounts that men and women spend on Christmas gifts. Independent random samples were taken from each group. He would like to conduct a test to determine if women spend more on average. If the null hypothesis is Ho : µM - µf = 0, what is the alternative hypothesis? ge 2: ge 3: OH1 : µM – HF 0 4 OH1 : µM – HF # 0 Page 5: Next Page Dege 10of15
Assume a significance level of α=0.1 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 15 bpm. The hypothesis test results in a P-value of 0.2402. a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below. A. Reject H0 because the P-value is greater than α. B. Fail to reject H0 because the P-value is greater than α. C. Reject H0 because the P-value is less than or equal to α. D. Fail to reject H0 because the P-value is less than or equal to α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The standard deviation of pulse rates of the group of adult males is less than or equal to 15 bpm. B. There is not sufficient evidence to support…
In a test of hypothesis, the null hypothesis is that the population mean is equal to 90 and the alternative hypothesis is that the population mean is not equal to 90. A sample of 16 elements selected from this population produced a mean of 86.75 and a standard deviation of 12.54. The significance level is 2%. a. –2.602 and 2.602 b. –2.583 and 2.583 c. –2.131 and 2.131 d. –1.341 and 1.341
The following information was obtained from matched samples taken from two populations. Assume the population of differences is normally distributed. Individual Method 1 Method 2 7 5 7 7 4 7 11 5 5 5 The point estimate of the difference between the means of the two populations (Method 1 - Method 2) is -1 and the standard deviation is 2.24. The null hypothesis tested is H,: H4 = 0. Find the test statistic for the difference between the two population means. -2 -1 2.
Consider the following hypothesis statement using a = 0.05 and data from two independent samples. Assume the population variances are not equal and the populations are normally distributed. Complete parts a and b. Ho: HH2=0 X₁ = 114.1 x₂ = 120.0 H₁:₁₂ #0 S₁ = 24.1 $₂ = 14.4 n₁ = 13 n₂=20 a. Calculate the appropriate test statistic and interpret the result. The test statistic is (Round to two decimal places as needed.) S Use technology to find the critical values for a t-distribution w rounding to two decimal places. stb. Identify the p-value from part a and interpret the result.
Assume a significance level of α=0.01 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 19bpm. The hypothesis test results in a P-value of 0.3876 A . State a conclusion about the null hypothesis. (Reject H0 or fail to rejectH0.) Choose the correct answer below. A. Reject H0 because the P-value is greater than α. B. Fail to reject H0 because the P-value is greater than α. C. Reject H0 because the P-value is less than or equal to α. D. Fail to reject H0 because the P-value is less than or equal to α b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A.There is not sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 19 bpm. B. The standard deviation of pulse rates of the group of…

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