(b) A manufacture of front lights for automobiles runs a test on lampsunder a high humidity and high temperature environment usingintensity and useful life as the responses of interest. According tohis result, 40% of them yield unsatisfactory results under anycriteria. A sample of 15 lamps are chosen and tested. Calculatethe probability thati.2 lamps will yield unsatisfactory resultii at least three lamps will yield unsatisfactory result.

Answered: Image /qna-images/answer/71f26bfe-5b28-4903-afa1-419980321f3c.jpg

Answered: (b) A manufacture of front lights for…

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 sample of n = 36 scores is selected from a normal population with µ = 75 and σ = 7. The probability of obtaining a sample mean greater than M = 73 is p = 0.9056. True or False?
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy score of a father. A random sample of 35 mothers gave a sample mean of x, = 69.38. Another random sample of 34 fathers gave x, = 57.34. Assume that o, = 11.27 and o, = 11.17. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - µz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? O Because the interval contains…
A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.8 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between −t0.98 and t0.98, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.6 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find −t0.98 and t0.98. −t0.98 = t0.98= Find the t-value
Grand Sun Buffet is a large restaurant chain. After paying for a meal at Grand Sun Buffet, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of u = 4.90, with a standard deviation of o = 1.88. Suppose that we will take a random sample of n = 10 customers' ratings. Let x represent the sample mean of the 10 customers' ratings. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find H- (the mean of the sampling distribution of the sample mean). (b) Find o- (the standard deviation of the sampling distribution of the sample mean).
Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose that a researcher selects a random sample of n=36 male undergraduates and s ample of n=25 females. On average, the males reported consuming M=2.45 drinks per month and females had an average of M=1.28. Assume that the overall level of consumption for college undergraduates averages μ=1.85 energy drinks per month, that that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ=1.2. Did this sample of males consume significantly more energy drinks than the overall population average? Use a one-tailed test with α =0.01. Did this sample of females consume significantly fewer energy drinks than the overall population average? Use a one-tailed test with α =0.01.
A sample of n = 4 scores is selected from a population with µ = 70 and s = 10. The probability of obtaining a sample mean greater than 65 is p = 0.8413. True False
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A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.8 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between −t0.95 and t0.95, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.3 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls?
A test was made of H : u=92 versus H, : pµ>92. The P-value was 0.12. What does the P-value indicate? If u =92, then the probability of observing a test statistic as extreme or more extreme than the one actually observed is
Assume a normally distributed population of resting heart rates with μ = 76 and σ = 5. Compute the z-score for a heart rate of 73. What is the probability of randomly selecting someone whose heart rate is below 73? What is the probability of randomly selecting someone whose heart rate above 79? What is the probability of randomly selecting someone whose heart rate either below 60 or above 90?
A sample of n=4 scores has a mean of M=75. Find the z-score for this sample: a. If it was obtained from a population with u= 80 and o=10. b. If it was obtained from a population with u=80 and o=20.

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