BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that µu is different from 3200hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for thissample is 3000 hours and that the sample standard deviation of the lifetimes is 600 hours.Based on this information, complete the parts below.(a)What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test?H, :0O 1) Suppose the true mearA Type II error would(Choose one)32006003000Suppose that wewh|(Choose one)Type ISType IIche equal to 600equal to 3000lifetime of BIG's lightprt ofequal to 3200e (Choose one)not equal to 3200BIGless than 600purs. n,rejectingthat |failing to rejectone greater than 3000u is (Choose one)

Answered: Image /qna-images/answer/d4af391a-d893-4002-bf7e-4f8ed8fdcbce.jpg

Answered: s Corporation advertises that its light…

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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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.7. The test scores of four students selected at random are 14, 22, 7, and 35. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 14 is (Round to two decimal places as needed.) The z-score for 22 is (Round to two decimal places as needed.) The z-score for 7 is (Round to two decimal places as needed.) The z-score for 35 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The unusual value(s) is/are (Use a comma to separate answers as needed.) O B. None of the values are unusual.
Calculate the mean and standard deviation for the two variable separately.
Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 8. The instructor wants to give an A to the students whose scores were in the top 08% of the class (Provide your answer with two decimal places). Find the Z-score that is associated with the lowest possible score to get an A. What is the minimum score needed to get an A?
In a certain country the heights of adult men are normally distributed with a mean of 69.7 inches and a standard deviation of 2.5 inches. The country's military requires that men have heights between 65 inches and 76 inches. Determine what percentage of this country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is (Round to two decimal places as needed.) %. (1) U +
3.3 GRE Scores, Part I. Sophia took the Graduate Record Examination (GRE) and scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. a) Write down the short-hand for these two normal distributions. Verbal Reasoning: N(µ = Quantitative Reasoning: N(u = b) What are Sophia's z-scores on both the Verbal Reasoning section and the Quantitative Reasoning section? What do these z-scores tell you? Round your z-scores to 2 decimal places. She scored standard deviations above the mean on the Verbal Reasoning section and standard deviations above the mean on the Quantitative Reasoning section. c) Relative to others, which section did she do better on? d) Find her percentile scores for the two exams. Round to the nearest…
1
I attached.
"A fitness coach woud like to determine whether her aerobic fitness intervention leads to a significant increase or decrease in the one rep max (i.e., heaviest possible weight that can be lifted once) for deadlifts in her group of athletes (n = 13). She finds that the mean difference = 3 lbs, with a sum of squared deviation (SS) = 84. Calculate the t-statistic the fitness coach would observe given this data. (Be sure to round your answer to the second decimal place)."
Only D and E
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 6 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ x Н. : H₁ : (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) (c) Suppose the true mean number of hours worked by software engineers is 49 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) when, in fact, is (Choose one) ▼the hypothesis that μ is (Choose one) (Choose one) O
(b) A mileage test is conducted for a new car model, the "HERO". In previous test, the population mean is 27 miles per gallon (mpg). Twenty-eight random selected Heros are driven for a month and the mileage is carefully measured in each. The mean mileage for the sample is =28.6mpg and the sample standard deviation is s = 2.2 mpg. Assuming 1-distribution is followed, answer the following questions. Hypothesis are given as follows: (i) H₁:μ=27 H: μ = 27 Find the degree of freedom of the test. By using 10% level of significance, find the critical value and show the rejection area. (iii) Calculate the test statistic, 1, to test the Ho. (iv) Determine whether you reject Ho. State your reason and conclusion. li
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, H, is now less than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 40 hours and that the standard deviation is 5 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 OSO H :0 D=0 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) ? (c) Fill in the blanks to describe the Type II error that could occur if the true mean number of hours worked by software engineers is 38 hours. A Type II error would be (Choose one) v the hypothesis that l is (Choose one) (Choose one) when, in fact, H is (Choose one)

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