A test of the breaking strength of two different types of cables was conducted using samples of n, = n, = 100 pieces ofeach type of cable.Cable ICable IIX, = 1,935X2 = 1,900s, = 39s, = 32Do the data provide sufficient evidence to indicate a difference in the mean breaking strength of the two cables? Usea = 0.05.State the null and alternative hypotheses.O Ho: (H1 – µ2) = 0 versus H: (H1 – H2) # 0Ho: (Hz- H2) # 0 versus H: (µ, - H2) = 0О но: (и, - и2) %3D 0 versus H,: (и, — и2) < оO Ho: (H1 – H2) = 0 versus H: (H, – H2) > 0Но: (и, - и2) 0Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONEfor the unused region.)test statisticZ =rejection regionz >z <ucion

Answered: A test of the breaking strength of two…

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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The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
Only about 15% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 352 millionaires surveyed, 60 could wiggle their ears. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: pv Select an answer v (please enter a decimal) H: pv Select an answer v (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is > vV a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 15%. O The data suggest the population…
I randomly sample 219 students and ask them to provide their USF GPA. I wish to determine if the average GPA of all USF students ex mu + 3.25 ceeds 3.25. Unfortunately, I generated the printout shown here: One-Sample T Test Null Hypothesis: H - 3.25 Alternative Hyp: u- 3.25 Variable Mean SE DF GPA 3.3121 0.0340 1.82 218 0.0694 Cases Included 219 What assumption is needed for this analysis to be valid? None. The Central Limit Theorem applies and no other assumptions are needed. The GPAS of all USF students need to be approximately normally distributed The mean GPA of all USF students need to be approximately normally distributed
A change is made that should improve student satisfaction with the parking situation at a local high school. Before the change, 37% of students approve of the parking that's provided. The null hypothesis Ho p> 0.37 is tested against the alternative Ho p = 0.37. The given hypotheses are incorrect. Give the correct hypotheses. Ho D= 0.37; H, > 0.37, where p the sample proportion of students at this high school that approve of the parking that is provided. Ho p = 0.37, H p> 0.37, where p = the true proportion of all students at this high school that approve of the parking that is provided. O H, ộ > 0.37, H, = 0.37, where p the sample proportion of students at this high school that approve of the parking that is provided. He: p = 0.37, H,: p 0.37, H. p< 0.37, where p = the true proportion of all students at this high school that approve of the parking that is provided.
A random sample of n =18 data from a normal distrinution with unknown variance = 25.1 and s=3. 24. a. Find a 98% confidence interval for the population mean. b. Interpret the interval.
The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median weight = 5.670 g H₁: Median weight 5.670 g More Info OB. Ho: Median weight ≤ 5.670 g H₁: Median weight = 5.670 g O D. Ho: Median weight = 5.670 g H₁: Median weight # 5.670 g 0 Post-1964 Quarters 5.5863 5.5764 5.6582 5.5649 5.5844 5.7402 5.7367 5.6057 5.5995 5.6165 5.6448 5.5974 5.6609 5.6363 5.6352 5.5986 5.5797 5.5501 5.6238 5.6462 5.6423 5.7021 5.5481 5.7078 5.6055 5.5324 5.7417 5.6776 5.5924 5.5691 5.5666 5.7287 5.6312 5.6017 5.6626 5.6436 5.6634 5.6132 5.5441 5.6363 -
The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, η, as well as for a population mean, µ. Why is that so?
The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). s? = 57.3 s2 = 20.6 Population A: n= 13 Population B: n= 21 a. At the 0.05 level of significance, is there evidence of a difference between of and o3? Determine the hypotheses. Choose the correct answer below. O A. Ho of = 03 O B. Ho, o7 so? O D. Ho; o7 +o3 OC. Họ; o7 203 H,: of o?? What is your statistical decision? The upper-tail critical value of F is (Round to two decimal places as needed.) What is your statistical decision? V Ho. There is V evidence that o? >o3.
You may need to use the appropriate technology to answer this question. Submitted The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A B C P 20 44 50 Q 30 26 30 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. Ho: The column variable is independent of the row variable. H: The column variable is not independent of the row variable. Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. Ho: Variable P is independent of variable Q. H: Variable P is not independent of variable Q. : The column variable is not independent of the row variable. Ho: : The column variable is independent of the row variable. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. Reject Ho. We conclude that the column and row variables are…
The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Ho: ? v Select an answer (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? V a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of…
A random sample of vehicle speeds were collected. Use the data to test the claim that the mean vehicle speed is more than 40 mph. Use a 0.05 level of significance. Sample data: x¯=42 mphs=7 mphn=34 Identify the tail of the test. Find the P-value Will the null hypothesis be rejected? Is the initial claim supported?
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.05 significance level, and test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is . (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ = H₂ H₁: H1 H₂ O A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have…

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