A stereo manufacturer claims his top-of-the-line turntable has an average lifespan of morethan 15 years. When asked to provide evidence that supports this claim, he obtains from hisfiles the names of 15 customers who have purchased this high quality turntable and askseach how long their turntables ran before needing replacement. From these 15measurements he computes and average lifespan of 17 years with a variance of 4 years.The correct alternative hypothesis is:O A. The average lifespan of turntable is 15 years.B. The average lifespan of turntable is at least 15 years.O C. The average lifespan of turntable is more than 15 years.O D. None of the preceding

Given: manufacturer claims his top-of-the-line turntable has an average lifespan of morethan 15…

Answered: A stereo manufacturer claims his…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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From past records a firm has noted that the average time its employees take for tea break is 15 minutes , with variance 4 minutes. A new employee joins the firm and over 50 tea breaks he has been observed to take an average time of 17 minutes. Should the manager caution him about taking too long a time over his tea break ?
Recent evidence suggests that graduating from college during bad economic times can impact the graduate's earning power for a long time (Financial Times, June 1, 2012). An associate dean at a prestigious college wants to determine if the starting salary of his college graduates has declined from 2008 to 2010. He expects the variance of the salaries to be different between these two years. The data are shown in the accompanying table and are contained in the accompanying Excel file. (You may find it useful to reference the appropriate table: z table or t table) Let Sample 1 be the sample of the starting salary of college graduates in 2008 and Sample 2 be the sample of the starting salary of college graduates in 2010. a. Specify the competing hypotheses that determine whether the starting salary of college graduates has declined from 2008 to 2010. (Which one is correct) H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≥ 0; HA: μ1 − μ2 < 0 H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 >…
A stereo manufacturer claims his top-of-the-line turntable has an average lifespan of more than 15 years. When asked to provide evidence that supports this claim, he obtains from his files the names of 15 customers who have purchased this high quality turntable and asks each how long their turntables ran before needing replacement. From these 15 measurements he computes and average lifespan of 17 years with a variance of 4 years. The test statistic is 3.8730 and the critical value is 1.761, is. State your conclusion. A. Accept null hypothesis B. Reject null hypothesis C. Do not reject null hypothesis D. Fail to reject null hypothesis
Records from previous years for a casualty insurance company show that its clients average a combined total of 1.9 auto accidents per day, with a variance of 0.31. The actuaries of the company claim that the current variance, oʻ, of the number of accidents per day is not equal to 0.31. A random sample of 17 recent days had a mean of 2 accidents per day with a variance of 0.62. If we assume that the number of accidents per day is approximately normally distributed, is there sufficient evidence to conclude, at the 0.05 level of significance, that the actuaries are correct? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round…
Econometrics 1. A sample of 60 women found that they run an average a of 5km a week with a variance of 64. Another sample of 80 men found that they ran an average of 3km a week with a variance of 81. Test that there is no difference in the distance run by men and women.
A stereo manufacturer claims his top-of-the-line turntable has an average lifespan of more than 15 years. When asked to provide evidence that supports this claim, he obtains from his files the names of 15 customers who have purchased this high quality turntable and asks each how long their turntables ran before needing replacement. From these 15 measurements he computes and average lifespan of 17 years with a variance of 4 years. The value of the test statistic (rounded off to two decimals) is: O A. 3.87 O B. 15.00 O C. -3.87 D. None of the preceding
If a set of data is normally distributed with a mean of 20 and a variance of 16, a z-score of -3.8 would convert into what raw score?
Androstenedione (andro) is a steroid that is thought by some athletes to increase strength. Researchers investigated this claim by collecting a random sample of men and randomly assigning half to receive andro and the other half to receive a placebo. One of the variables measured in the study was the increase in "lat pull down" strength (in pounds) of each subject after 4 weeks. (A lat pull down is a type of weightlifting exercise.) Suppose the researchers wanted to conduct a hypothesis test to compare the increase in lat pull down strength between the two groups at a 0.10 significance level using a directional alternative (that andro increases lat pull down strength more than placebo). Which test(s) could be used? (Select all that apply.) OA. Paired Sample t Test OB. Wilcoxon-Mann-Whitney Test OC. Chi-Square Goodness-of-Fit Test OD. Binomial Test for p DE. Two Sample t Test OF. Sign Test
PSOHS had administered an IQ level test to 15 randomly selected G11 students. And the result they found from that was the average IQ level score was 110 with a variance of 35. Assume that the t score is 2.365. What is the population mean for this test, which would justify t score value as 2.365.
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.6 and 5.3, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? You may need to use the appropriate technology to answer this question. Use a = 0.10. State the null and alternative hypotheses. Ho: 0, + 0,2 2 02 2 %D 2 Hoi 01 2 02 2 Ha: 01 2 > 02 Ho: 01 2 > 02 2 2 Ha: 02 2 2 Ho: 01 02 Ha: 01 + 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value %3D State your conclusion. Reject Ho. We can conclude that there is a difference between the population variances. Reject Ho. We cannot…
Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20 commutes. The first worker's times have a variance of 12.1. The second worker's times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times and that his commute time is shorter. Test the claim at the 10% level. a. What is a (alpha)? b. What is the F statistic? c. Is the claim accurate?
Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20 commutes. The first worker's times have a variance of 12.1. The second worker's times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times and that his commute time is shorter. Test the claim at the 10% level. What is s1 in this problem? What is s2 in this problem?

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