The next seven questions refer to the following scenario:A random sample of 16 Porsche drivers yielded an average age of 50 years with a variance of 9 years and a randomsample of also 16 Ferrari drivers yielded an average of 47 years with a variance of 25 years.Porsche DriverFerrari Drivern1616mean5047Variance25Conduct the following hypothesis test at a=0.05.HO: Mean Age Porsche Drivers< Mean Age Ferrari DriversHA: Mean Age Porsche Drivers > Mean Age Ferrari DriversAssume unequal variance. What do you conclude, using the correct statistical language?You fail to reject the nullYou reject the nullYou accept the nullOYou accept the alternative

Researchers perform hypothesis test to draw inference about a population characteristic.

Answered: The next seven questions refer to the…

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 fan blades on commercial jet engines must be replaced when wear on these parts indicates too much variability to pass inspection. If a single fan blade broke during operation, it could severely endanger a flight. A large engine contains thousands of fan blades, and safety regulations require that variability measurements on the population of all blades not exceed ?2 = 0.18 mm2. An engine inspector took a random sample of 81 fan blades from an engine. She measured each blade and found a sample variance of 0.28 mm2. Using a 0.01 level of significance, is the inspector justified in claiming that all the engine fan blades must be replaced? (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) Find or estimate the P-value of the sample test statistic. P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.00 Find a 90% confidence interval…
A study was conducted using 50 mobile network users who volunteered to participate in a research as the entry of the third telco player in the country is on its way. One of the variables studied was the data connection speed in the previous month. Based on the data in the following table, is there a significant difference between the connectivity speeds of the two present mobile networks during the previous month? Use a 5% level of significance and assume that the population variances are equal. 1. The alternative hypothesis for the test would be? 2. The alternative hypothesis for the test would be? 3. What is the computed value of the test statistic? 4. What would be your decision?
2. Two leading brands of potato chips were tested to compare their sodium content. Ten packs of brand A yielded a mean sodium content of 80 mg/pack with a standard deviation of 5.4 mg while eight packs of Brand B yielded an average content of 75 mg/pack with a standard deviation of 6.1 mg. Is there a difference in the sodium content of the two brands at the 0.05 level of significance? (Assume normality with equal variances)
The goal of analysis of variance (ANOVA) is toa. detect differences in treatment variances (or variances for different populations).b. detect differences in treatment means (or means for different populations).c. analyze the average variances for different populations.d. analyze the variances of the variances for different populations.
Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use ? = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Assume the population variances are unequal. Consultant A Consultant B n1 = 16 n2 = 10 x1 = 6.85 x2 = 6.25 s1 = 0.69 s2 = 0.75 (a) State the null and alternative hypotheses. -H0:?1 − ?2 = 0 Ha:?1 − ?2 = 0 -H0:?1 − ?2 > 0 Ha:?1 − ?2 = 0 -H0:?1 − ?2 ≠ 0 Ha:?1 − ?2 = 0 -H0:?1 − ?2 = 0 Ha:?1 − ?2 > 0 -H0:?1 − ?2 = 0 Ha:?1 − ?2 ≠ 0 (b) Compute the value of the test statistic. (Round your answer to three decimal places.)…
The effects of two catalysts on the mean yield of a chemical process are being investigated.A test is conducted in the pilot plant, yielding the data reported in Table 1. Is there anydifference between the mean yields from the two catalyst at the 5% significance level?Assume the two population variances are equal.
Which of the following conclusions is correct for these test results? > bartlett.test(len~river, data=rivers) Bartlett test of homogeneity of variances data: len by river Bartlett's K-squared = 0.61394, df = 4, p-value = 0.5226 %3D Hint* the first line of code should tell you the type of test you are dealing with. There is NO significant difference in variances among the rivers. There is a significant difference in variances among the rivers. There is NO significant difference in means among the rivers.
In college, talented runners may join a cross-country team. Runners tend to run their best times when they run even splits. Even splits occur when the runners maintain an even pace throughout the race. The cross-country coach wants to estimate the typical variability in his best runner's 1-mile splits. He takes a random sample of 25 of this runner's mile splits and finds that this runner's mean 1-mile split is 5.44 minutes per mile, with a standard deviation of 0.14 minutes per mile. This runner's 1-mile splits follow a normal distribution. (a) Find the chi-square critical values XL² and Xu² to be used in constructing a 95% confidence interval for the true population standard deviation. (Round your answers to two decimal places.) XL²= XU²= (b) Find the 95% confidence interval for the true variability in his best runner's 1-mile splits. (Round your answers to three decimal places.) lower bound and the upper bound
A traffic officer suspects that the mean number of car accidents every week is 4. A sample of 16 weeks showed a mean of 7. If the variance of car accidents in the population is 4, then the correct test statistics at 5% significance level is Select one: O a. t= 3 O b. t= 6 O c. Z= 6 O d. Z= 3
A group of students (large group) took a test in mathematics and the final scores have a mean of 68 and a variance of 100. If the distribution of these scores is approximately normal, then what percent of the students: i. Scored higher than 75? Should pass the test (scores > 65)? Should fail the test (scores < 65)? ii. iii.
A sampie of 20 people has a mean age of 32 with a variance of 2. Test the hypothesis that the population mean age is less than 30 at 5% level of significance.
A basketball coach believes that the variance of the heights of adult male basketball players is different from the variance of heights for the general population of men. The sample variance of heights, measured in inches, for a random sample of 19 basketball players is 14.22. The sample variance for a random sample of 18 other men is 34.49. Assume that both population distributions are approximately normal and test the coach’s claim using a 0.10 level of significance. Does the evidence support the coach’s claim? Let male basketball players be Population 1 and men in general be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ21=σ22: Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22 Step 2 of 3: Compute the value of the test statistic. Round your answer to four decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.

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