A manufacturer of semiconductor devices takes a random sample of 100chips and tests them, classifying each chip as defective or non-defective.Let X, 0 if the chip is non-defective and X; = 1 if the chip is defective.The sample fraction defective isX, +X, +---+ X,100What is the sampling distribution of the random variable "P?

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Answered: A manufacturer of semiconductor devices…

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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Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
A company wants to determine whether its consumer product ratings (0 - 10) have changed from last year to this year. The table below shows the company's product ratings from eight consumers for last year and this year. At a = 0.05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (1). Consumer Rating (last year) Rating (this year) 2 3 6 7 7 5 8 7 8 7 7 6 10 6 4 to =D (Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places as needed.) Identify the rejection region. Choose the correct answer below. O A. t>1.895 O B. t 1.895 O C. t 2.365 O D. t< -2.365 (c) Calculate d and s.-
In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Does this information indicate a difference (either way) in the population mean percentage of on-time arrivals for summer compared to winter? Use α = 0.05. (i) What is the…
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Samples of size n- 9 are selected from a normal population withp -80with o- 18. What is the standard error for the distribution of sample means? OM-5 OM- 18 O M- 6 0 0
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A company wants to determine whether its consumer product ratings (0 - 10) have changed from last year to this year. The table below shows the company's product ratings from eight consumers for last year and this year. At a = 0.05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (f). Consumer Rating (last year) Rating (this year) 2 3 5 6 7 8 5 6. 8 6. 4 4 4 4 9 3 (a) Identify the claim and state H, and Ha. The claim is "The product ratings have from last year to this year." Let Hg be the hypothesized mean of the ratings last year minus the ratings this year. State H, and Ha. Choose the correct answer below. O A. Ho: Ha # 0 O B. Ho: Hd 2 0 OC. Ho: Ha = 0 Ha: Ha = 0 Hạ: Ha 0 O E. Ho: Ha zd Ha: Ho 2.365 B. t 1.895 O D. t>1.895
Conduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, =118, n, = 258, x, = 139, and n, = 314.

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