5) An official at the department of education in Capricorn district plans to use anaverage of a random sample of 150 sixth graders from a large school in thedistrict to estimate the mean score that all the sixth graders in the district arelikely to get if they took a certain mathematics test. If, based on past experience,He knows that a population standard deviation is 9.4 for such data,What can He declare with probability 0.95 about the maximum error?If he takes the sample and gets a mean of 61.8. Construct a 99%confidence interval for the mean score of all the sixth graders in thisdistrict.ii)

Given that: Sample size: n=150 Population standard deviation, σ=9.4

Answered: 5) An official at the department of…

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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2. Manufacturer A's television picture tubes have a mean lifespan of 7.13 years and a standard deviation of 0.8 years; while those of manufacturer B have a mean duration of 6.36 years and a standard deviation of 0.33 years. What is the probability that a random sample of 40 kinescopes from manufacturer A will have a mean lifespan that is 1 year longer than the mean lifespan in a sample of 45 kinescopes from manufacturer B? Round your answer to four decimal places after the period. Select one: a. The probability is 0.0469 b. The probability is 0.0464 c. None of the above d. The probability is 0.0455
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1. The Boeing 727 airliner carries 200 passenger and has doors with a height of 72 inches. Height of men are normally distributed with a mean of 69.5 inches anda standard deviation of 2.4 inches. a) If a male passenger is randomly selected, find the probability that he can fhit through the doorway without bending b) If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72 inches
Many firms use on-the-job training to teach their emplloyees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 77 and 2 respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee's z-score. O A. z = 1.50 O B. z = -1.50 O C. z= -0.94 O D. z = 0.94
7) In a sample of 50 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1450 with a standard deviation of $450. In a sample of 90 trips taken by the employees in the sales department is $1650 with a standard deviation of $700. When testing the hypothesis that the average amount spent on trips taken by the sales department are higher than those taken by the HR department, if the test statistic is 2.05 and the critical value is 2.57 then what is your conclusion concerning the null hypothesis? select a) reject null hpyothesis or b) fail to reject null hypothesis
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 77 and 2 respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee's z-score. O A. z = -0.94 OB. z = -1.50 O C., z = 0.94 O9 z = 1.50
4. Manufacturer A's television picture tubes have a mean lifespan of 7.3 years and a standard deviation of 0.57 years; while those of manufacturer B have a mean duration of 6.39 years and a standard deviation of 0.42 years. What is the probability that a random sample of 39 kinescopes from manufacturer A will have a mean lifespan that is 1 year less than the mean lifespan in a sample of 43 kinescopes from manufacturer B? Round your answer to four decimal places after the period.
3a) The mean IQ of 200 patients in a psychiatric hospital is 91, with a variance of 16, and the distribution is highly negatively skewed. Between what two IQ scores would we expect to find at least 160 of the patients falling? b) If the distribution was mound-shaped and symmetrical, with the same mean and standard deviation as in part A, approximately how many patients would have IQ scores at or below the 5th percentile or above a score of 97? Answers: a) 82 to 100 b) 28.5 or 29
The college of science at a particular university has 322 alum in a given year. Each of them are sent a survey after they graduate, and 23 of them are returned. The survey asks many things, chiefly among them how prepared they feel enterring the real world upon graduation. The results (on a scale of 1-10) show an average of 8.9 with a standard deviation of 2.3. Is there significant evidence to conclude that the scores of these recent graduates is better than 8 at the 0.01 significance level? Note that there's evidence that this distribution is symmetric. What are the hypotheses? Ho : μ 8 Ho : μ 8 Ho μ = 8 vs H₁ : µ ‡ 8 : Ho : μ‡8 vs H₁ : µ = 8 What is probability statement for the p-value? 2P(T test statistic) 2P(Z #test statistic) O P(Z >test statistic) OP(T test statistic) None of the above If the p-value were to be 0.008, state and justify your decision. Reject Ho because the p-value a. Fail to reject Ho because the p-value > a. Accept Ho because the p-value a. Fail to reject Ho…
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 73 and2, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 66. Compute the trainee's z-score. O A. z= 0.88 O B. z= -3.50 O C. z= 3.5 O D. z= - 0.88 O Time Remaining: 01:26.44 Next 1-44 of 44 arch 耳人 81 F N. DELL
3. A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be identical to that for type A. A random sample of n = 25 tubes of each type is selected, and X-X is computed. If equals or HB exceeds, the manufacturer would like to adopt type B for use. The observed difference is -₁ =3.0. What is the probability that by 3.0 or more if HB and HA are equal? exceeds
1

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