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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5) A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 60 people shows that the mean tuna consumption by a person is 3.2 pounds per year. Assume the population standard deviation is 1.17 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ>3.2 Ha: μ≤3.2 B. H0: μ≤3.2 Ha: μ>3.2 C. H0: μ≠3.2 Ha: μ=3.2 D. H0: μ≤3.3 Ha: μ>3.3 E. H0: μ=3.3 Ha: μ≠3.3 F. H0: μ>3.3 Ha: μ≤3.3 (b) Identify the standardized test statistic. z= (Round to two decimal places as needed.) (c) Find the P-value. _____ (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. A. Fail to reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.3 pounds. B. Reject H0. There is…
The state's education secretary claims that the average cost of one year's tuition for all private high schools in the state is $2350. A sample of 30 private high schools is selected, and the average tuition is $2315. The standard deviation for the population is $38. At α = 0.05, is there enough evidence to reject the claim that the average cost of tuition is equal to $2350?
A random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8
What is the critical value? A. 2.33 B. 2.492 C. 2.575 D. 2.797
A simple random sample of 80 adults is obtained, and each person’s red blood cell count is measured. The sample mean is 6.25 and a standard deviation of .65. Use a .01 significance level to test the claim that the sample is from a population with a mean less than 6.4, which is a value often used for the upper limit of the range of normal values. (For each hypothesis test state H0 and H1)
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
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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.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 418 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. H0: Ha:

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