Part variability is critical in the manufacturing of ball bearings. Large variances in thesize of the ball bearings cause bearing failure and rapid wear-out. Productionstandards call for a maximum variance of .0001 when the bearing sizes are measuredin inches. A sample of 15 bearings shows a sample standard deviation of .014 inches.10 to determine whether the sample indicates that the maximum(1) Use a =acceptable variance is being exceeded.(ii) Compute the 90% confidence interval estimate of the variance of the ball bearingsin the populationDo NOT use EXCELO a) (1) Variance exceeds maximum variance requirement.(ii) Between 0.00012 and 0.00042Ob) 1) Variance exceeds maximum variance requirement.() Between O.00052 and 0.00092O Variance does not exceeds maximum variance requirement.(1i) Between 0.0012 and 0.0042d) None of the answers are correct

The following information has been given: The sample size is n=15 The sample standard deviation is S…

Answered: Part variability is critical in 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 mean pulse rate for adult males is approximately 61.4 beats per minute. In a sample of 27 overweight males, the mean pulse rate was 62.1 beats per minute with a standard deviation of 4.19 beats per minute. Test at a = 0.10 whether these findings suggest that the mean pulse rate for all such overweight males is significantly greater than 61.4. You obtain a sample of size 27 with a mean of 62.1 and a standard deviation of 4.19. You believe that the population is normally distributed. (a). The null and alternative hypotheses are O Ho: ữ = 62.1 Ha:ữ > 62.1 Ho:µ = 61.4 Ha: µ > 61.4 Ο H0: μ = 61.4 На:р 62.1 Part 2 of 4 (b). The test statistic is (use 4 decimal places)
A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α = 0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. A. Ho: μ = 280 (claim) Ha:μ>280 Ho:μ≤280 Ha: μ> 280 (claim) B. Ho: μ = 280 P-value = (b) Find the standardized test statistic z. z = 2.11 (Round to two decimal places as needed.) (c) Find the P-value. E. Ho: μ≤280 (claim) Ha:μ>280 Ha: μ> 280 (claim) (Round to three decimal places as needed.) C. Ho: μ ≥280 (claim) Ha:μ< 280 F. Ho: μ< 280 H₂:μ ≥280 (claim)
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 286. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 38. At α = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. O A. Ho: ≤280 (claim) H₂:μ>280 O D. Ho: μ≤280 Ha: μ> 280 (claim) B. Ho: μ280 OF. Ho: μ = 280 H₂: µ>280 (claim)
A population has parameters u = 189.5 and o = 61.9. You intend to draw a random sample of size n = 113. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)
Babies: A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is greater than 7 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance.
Suppose the diameter of holes for a cable harness is known to have a mean of 1.4 inches. A random sample of size 12 yields an average diameter of 1.6525 inches and standard deviation of 0.16 inch. Given that the data set is normally distributed, does this mean that this group of cable harnesses is significantly smaller? Test at α = 0.05.
Part Variability is critical in the manufacturing of the ball bearings. Large variances in the size of the ball bearings cause bearing failure and rapid wear out. Production standards call for a maximum variance of .0001 when the bearing sizes are measured in inches. A sample of 15 bearings shows a sample standard deviation of .014. a. Compute the 90% confidence interval estimate of the variance of the ball bearings in the population. b. Use a= 0.10 to determine whether the sample indicates that the maximum acceptable variance is being exceeded. Use critical value approach. ( Note: You must state null and alternative hypotheses, compute the test statistic, Report the critical Value, and draw a conclusion.
A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 286. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 38. At α = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. O A. Ho: μ≤280 (claim) H₂:μ>280 O D. Ho: μ≤280 Ha: μ> 280 (claim) O B. Ho: μ280 OF. Ho: μ = 280 Ha: μ>280 (claim)
IQ scores among the general population have a mean of 100 and a standard deviation of 14. A researcher claims that the standard deviation, o, of IQ scores for females is not equal to 14. A random sample of 24 IQ scores females had a mean of 98 and a standard deviation of 11. Assuming that IQ scores for females are approximately normally distributed, is there significant evidence (at the 0.05 level of significance) to conclude that the researcher's claim is 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,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
Colonial Funds claims to have a bond fund that has maintained a mean share price of $⁢10.00. They claim that the variance of the share price is 0.18. To test this claim, the investor randomly selects 29 days during the last year. He finds an average share price of $⁢9.80 with a standard deviation of 0.4006. Can the investor conclude that the share price of the bond fund varies from Colonial Funds claims at α=0.05? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?
5. The standard deviation of a sample of the costs of 15 automobile repairs at a local garage was $120.82. Assuming that the variable is normally distributed, find the critical values, Xleft and right, that could be used to determine the 90% confidence interval of the true variance and standard deviation.

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