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A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the distribution of or diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. E Click the icon to view the data table Data Table State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho u2.00

A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the distribution of or diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. E Click the icon to view the data table Data Table State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho u2.00

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. E Click the icon to view the data table. Data Table State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho: µ+2.00 HA: H= 2.00 Full data set O B. Ho: The pipe diameter is normally distributed with u= 2.00 and o = 0.10. Diameter Diameter HA: The pipe diameter is not normally distributed with u = 2.00 and o = 0.10. Pipe Section (inches) Pipe Section (inches) 1 2.05 16 1.97 OC. Ho: The pipe diameter is not normally distributed with u =2.00 and o = 0.10. 2.12 17 1.88 HA: The pipe diameter is normally distributed with u = 2.00 and o = 0.10. 3 2.07 18 1.99 4 1.99 19 2.12 O D. Ho: µ= 2.00 1.91 20 1.89 HA: H#2.00 2.07 21 1.92 7 2.18 22 1.95 23 24 8 2.01 2.17 Find the observed frequency of each class. 2.05 1.95 Observed 10 1.99 25 1.94 26 27 Class Frequency 11 1.95 2.08 12 1.91 1.81 Under 1,9 13 2.11 28 1.93 1.9 to under 2.0 13 14 2.02 29 1.97 15 2.11 30 1.81 2.0 to under 2.1 2.1 and over 6. Print Done
Transcribed Image Text:A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. E Click the icon to view the data table. Data Table State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho: µ+2.00 HA: H= 2.00 Full data set O B. Ho: The pipe diameter is normally distributed with u= 2.00 and o = 0.10. Diameter Diameter HA: The pipe diameter is not normally distributed with u = 2.00 and o = 0.10. Pipe Section (inches) Pipe Section (inches) 1 2.05 16 1.97 OC. Ho: The pipe diameter is not normally distributed with u =2.00 and o = 0.10. 2.12 17 1.88 HA: The pipe diameter is normally distributed with u = 2.00 and o = 0.10. 3 2.07 18 1.99 4 1.99 19 2.12 O D. Ho: µ= 2.00 1.91 20 1.89 HA: H#2.00 2.07 21 1.92 7 2.18 22 1.95 23 24 8 2.01 2.17 Find the observed frequency of each class. 2.05 1.95 Observed 10 1.99 25 1.94 26 27 Class Frequency 11 1.95 2.08 12 1.91 1.81 Under 1,9 13 2.11 28 1.93 1.9 to under 2.0 13 14 2.02 29 1.97 15 2.11 30 1.81 2.0 to under 2.1 2.1 and over 6. Print Done
A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. Click the icon to view the data table. The test statistic is x = 2.213 (Round to three decimal places as needed.) The p-value is530 (Round to three decimal places as needed.) Draw a conclusion. Choose the correct answer below. O A. Do not reject the null hypothesis, and conclude that the pipe diameters may be normally distributed with u= 2.00 and o = 0.10. O B. Reject the null hypothesis, and conclude that the pipe diameters do have a mean of 2.00. O C. Reject the null hypothesis, and conclude that the pipe diameters may not be normally distributed with p = 2.00 and o = 0.10. O D. Do not reject the null hypothesis, and conclude that the pipe diameters do not have a mean of 2.00. b. Based on these data, should the company conclude that it is meeting the product specifications? Explain your reasoning. O A. Since the null hypothesis was not rejected, there is no reason to conclude that the company is not meeting its product specification. O B. Since the null hypothesis was rejected, the company is not meeting its product specification. O C. Since the null hypothesis was rejected, there is no reason to conclude that the company is not meeting its product specification. O D. Since the null hypothesis was not rejected, the company is not meeting its product specification.
Transcribed Image Text:A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. Click the icon to view the data table. The test statistic is x = 2.213 (Round to three decimal places as needed.) The p-value is530 (Round to three decimal places as needed.) Draw a conclusion. Choose the correct answer below. O A. Do not reject the null hypothesis, and conclude that the pipe diameters may be normally distributed with u= 2.00 and o = 0.10. O B. Reject the null hypothesis, and conclude that the pipe diameters do have a mean of 2.00. O C. Reject the null hypothesis, and conclude that the pipe diameters may not be normally distributed with p = 2.00 and o = 0.10. O D. Do not reject the null hypothesis, and conclude that the pipe diameters do not have a mean of 2.00. b. Based on these data, should the company conclude that it is meeting the product specifications? Explain your reasoning. O A. Since the null hypothesis was not rejected, there is no reason to conclude that the company is not meeting its product specification. O B. Since the null hypothesis was rejected, the company is not meeting its product specification. O C. Since the null hypothesis was rejected, there is no reason to conclude that the company is not meeting its product specification. O D. Since the null hypothesis was not rejected, the company is not meeting its product specification.
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