Question

In: Statistics and Probability

A car company wishes to test the claim that at an average of 55 mph, the...

A car company wishes to test the claim that at an average of 55 mph, the stopping distance for auto brakes is 130 ft. In a random sample of 12 individuals that were tested for their breaking distance were recorded, a sample mean of 114 ft. Based on the previous records, the standard deviation is recorded as 20 ft. At the 10% level of significance, test the claim that the stopping distance for a car traveling at 55 mph is less than the stated 130 ft.

What is the Null hypothesis (H0); Alternate hypothesis (H1); and the direction of the test?                            [ Select ]                       ["mu=130; mu<130; right tail Test", "mu=130; mu>130; left tail Test", "mu=130; mu<130; left tail Test", "mu=130; mu<130; two tail Test"]      

Which distribution is used in this case?                            [ Select ]                       ["t with 10 d.f", "z", "t with 11 d.f", "Both"]      

What is the critical value?                            [ Select ]                       ["1.28 and -1.28", "1.28", "2.58", "-1.28"]      

What is the Test Statistic Value?                            [ Select ]                       ["-2.77", "3.32", "1", "2.77"]      

What is the P-value?                            [ Select ]                       ["0.001<pvalue<0.01", "0.0029", "0.001", "0.05"]      

What is the conclusion of the test?                            [ Select ]                       ["Test is Incomplete", "Test is Significant", "Test is Insignificant", "Test is Significantly Sufficient"]      

Solutions

Expert Solution

Hence, there is enough evidence to conclude that the stopping distance for a car traveling at 55 mph is less than the stated 130 ft at 10% level of significance.


Related Solutions

A car company wishes to test the claim that at an average of 55 mph, the...
A car company wishes to test the claim that at an average of 55 mph, the stopping distance for auto brakes is 130 ft. In a random sample of 12 individuals that were tested for their breaking distance were recorded, a sample mean of 114 ft. and with a standard deviation is recorded as 20 ft. At the 5% level of significance, test the claim that the stopping distance for a car traveling at 55 mph is different than the...
A car company wishes to test the claim that at an average of 55 mph, the...
A car company wishes to test the claim that at an average of 55 mph, the stopping distance for auto brakes is 130 ft. In a random sample of 21 individuals that were tested for their breaking distance were recorded, a sample mean of 114 ft. and with a standard deviation is recorded as 20 ft. At the 5% level of significance, test the claim that the stopping distance for a car traveling at 55 mph is less than the...
A researcher wishes to test claim that that the average cost of a coke in Mexico...
A researcher wishes to test claim that that the average cost of a coke in Mexico is different than the average cost for a coke in Russia. The cost is measured in US Dollars. Sample data are provided below. Test the claim using α=0.10. Mexico Russia X ¯ 1 =1.26 s 1 =0.11 n 1 =14 X ¯ 2 =1.52 s 2 =0.09 n 2 =14 State the claim: H 0 μ 1     H 1 μ 1≠ μ 2 claim...
researcher wishes to test the claim that the average weight of an adult elephant is 12500...
researcher wishes to test the claim that the average weight of an adult elephant is 12500 pounds. The researcher collected a sample of 33 adult elephants. The sample average for the weight of the elephants was 12200 pounds. The population standard deviation is believed to be 720 pounds. With alpha = 0.06, is there enough evidence to reject the claim. a) Is this a test that uses, z-scores, t-scores, or chi-squared values? b) [2 points] Does this problem involve proportions?...
A company manager wishes to test a union leader's claim that absences occur on the different...
A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled. Day. | Mon Tues Wed Thurs Fri Absences | 37 15. 12. 23. 43
27) A company manager wishes to test a union leader's claim that absences occur on the...
27) A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Use a significance level of 0.01 to test the manager's claim. In a study of absences, 16 occurred on a Monday, 26 occurred on a Tuesday, 38 occurred on a Wednesday, 33 occurred on a Thursday, and 12 occurred on a Friday. Use the p-value method of hypothesis testing.
A company manager wishes to test a union leader's claim that absences occur on the different...
A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled. Day Mon Tues Wed Thurs Fri Absences 37 15 12 23 43
. A manufacturer of cigarettes wishes to test the claim that the variance of the nicotine...
. A manufacturer of cigarettes wishes to test the claim that the variance of the nicotine content of cigarettes his company makes is .638 milligrams. The variance of 25 cigarettes is .930 milligrams. Test this claim at the alpha = .05 level.
A researcher wishes to test claim that there is no difference in the life span of...
A researcher wishes to test claim that there is no difference in the life span of two types of reptiles: the Nile crocodile and giant sea turtle. Sample data including the average lifespan of both reptiles are provided below. Test the claim using α=0.05. Nile Crocodile Giant Sea Turtle X ¯ 1 = 45 s 1 ==2.6 n 1 =12 X ¯ 2 =44 s 2 =6.5 n 2 =10 State the claim: H 0 μ 1   claim H 1 μ...
2. A researcher wishes to test the claim that there is a difference in the distribution...
2. A researcher wishes to test the claim that there is a difference in the distribution of ages of elementary school, high school, and community college teachers. Teachers are randomly selected from each group. Their ages are recorded below. Can you conclude that the distributions of teachers' ages at these different levels of education are different? Use the Kruskal-Wallis test. Use α = 0.05. Elementary 28,33,32,57,42,30 High school 41,46,43,52,47,36 Comm. College 44,50,41,66,50,40 need work shown
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT