A renowned steel company that produces metal products with a mean weight of 118 kg and standard deviation of 30 kg. Suppose that a sample of size 50 products is randomly taken and found that the mean weight is 120 kg. By testing the hypothesis can we conclude that the sample products do not differ from the given weight 118 kg? Conduct test at 5% level of significance. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 118 H1 : µ > 118 Ho : µ # 118 Hị : µ = 118 Ho : µ = 118 H1 : µ < 118 Ho : µ = 118 Hị : µ # 118
A renowned steel company that produces metal products with a mean weight of 118 kg and standard deviation of 30 kg. Suppose that a sample of size 50 products is randomly taken and found that the mean weight is 120 kg. By testing the hypothesis can we conclude that the sample products do not differ from the given weight 118 kg? Conduct test at 5% level of significance. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : µ = 118 H1 : µ > 118 Ho : µ # 118 Hị : µ = 118 Ho : µ = 118 H1 : µ < 118 Ho : µ = 118 Hị : µ # 118
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Transcribed Image Text:c. After conducting the appropriate significance test, the test statistic was found to be 0.47. Therefore, the
conclusion for the test is:
Reject Ho, because p-value is less than 0.05
Fail to reject Ho, because 0.47 falls outside the critical region
O Reject H1, because -0.47 falls within the critical region
Fail to reject Ho, because p-value is less than 0.05
Transcribed Image Text:A renowned steel company that produces metal products with a mean weight of 118 kg and standard deviation of 30 kg. Suppose that a sample of
size 50 products is randomly taken and found that the mean weight is 120 kg. By testing the hypothesis can we conclude that the sample products
do not differ from the given weight 118 kg? Conduct test at 5% level of significance.
a. Which of the following statistical tests is most appropriate in this scenario?
Two-Tailed Z-Test
One-Tailed Z-Test
Two-Tailed T-Test
One-Tailed T-Test
b. What are the appropriate hypotheses for the test?
O Họ : µ = 118 H1 : µ > 118
O Họ : µ # 118 H1 : µ = 118
Ο H: μ 118 Η : μ< 118
O Họ : µ = 118 H1 : µ # 118
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