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A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 45 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is x = 3.89 inches with a standard deviation of s= 0.5 inches. Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer μ = 4 inches? Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches. (a) Calculate the test statistic. (Round your answer to two decimal places.) t = (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. We would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. We would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches. We would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches.

A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 45 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is x = 3.89 inches with a standard deviation of s= 0.5 inches. Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer μ = 4 inches? Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches. (a) Calculate the test statistic. (Round your answer to two decimal places.) t = (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. We would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. We would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches. We would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches.

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
Section: Chapter Questions
Problem 22SGR
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A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 45 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is x = 3.89 inches with a standard deviation of s = 0.5 inches. Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer μ = 4 inches? Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches. (a) Calculate the test statistic. (Round your answer to two decimal places.) t = (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches. We would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches. We O O O O
Transcribed Image Text:A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 45 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is x = 3.89 inches with a standard deviation of s = 0.5 inches. Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer μ = 4 inches? Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches. (a) Calculate the test statistic. (Round your answer to two decimal places.) t = (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is different from 4 inches. would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches. We would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean width of traffic stripes is different from 4 inches. We O O O O
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