The candy company that makes M&M's claims that 10% of the M&M's it produces are green. Suppose that thecandies are packaged at random, and the small bags contain 25 M&M's. When we randomly pick a bag ofM&M's, we may assume that this represents a simple random sample of size n = 25. Suppose that in a randomlyselected small bag of M&M's, there are 5 green M&M's. What is the value of the standard error of p?0.080.00630.0794O 0.10

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Answered: The candy company that makes M&M's…

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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4.A bank has two different customer lines, A and B. Callers dial a single number with 444. Customer service, callers randomly to one of these two lines It directs. In these lines, there is a difference between the lengths of the customers' conversations after connecting to the operator. It is desired to be determined. Random samples of two lines were selected and the following data were obtained. (?? = the last three digits of your student number. If all the last three digits are zero, choose as a three-digit number) A LİNE B LİNESample Size ?1 = 200 ?2=176Sample Average (seconds) 216 195Sample Standard Deviation 35.10 37.80 a.Using the sample statistics, estimate the difference of the two mainstreams within the 95% confidence interval.b.Hypothesis…
Suppose you are interested in buying a new Lincoln Navigator or Town Car. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of these cars of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle. x 32.4 32.9 36.1 44.0 47.8 y 30.4 31.0 32.0 42.1 42.2 (b) Use a 10% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t ? critical t ? (c) Verify that Se ≈ 1.5629, a ≈ 2.5006, and b ≈ 0.8551. Se ? a ? b ? (e) Find a 95% confidence interval for y when x = 42 (thousand dollars). (Use 2 decimal place.) lower limit ? upper limit ? (f) Use a 10% level of significance to test the claim that β > 0. (Use 2 decimal places.) t ? critical t ?
A student organization is trying to decide whether or not to oﬀer more movies on campus. They want to determine whether this idea will appeal to members of both genders. A random sample of 1000 students was asked if they were in favor of more movies on campus. The results by gender are shown in the table below in Figure 2.Fig. 2: Summary(a) What proportion of the sampled students is in favor of more movies on campus? (b) What proportion of the sampled females is in favor of more movies on campus? (c) What proportion of the sampled males is in favor of more movies on campus? (d) To answer the original question regarding whether or not to oﬀer more movies on campus, which distribution should the student organization study? i. The joint distribution of gender and opinion.ii. The marginal distribution of gender. iii. The conditional distribution of gender given opinion. iv. The conditional distribution of opinion given gender.
9. An article in the Philippine Daily Inquirer discusses the dangers of obesity. The article claims that in the middle managerial positions, obese people get (on average) smaller paychecks than non-obese people. Suppose that you want to test this claim, and you have obtained the following two random samples of employees (data are in thousands of pesos per month): Obese: 45 54 39 67 33 62 39 50 48 51 37 61 70 35 42 40 Non-obese: 54 69 36 77 56 30 72 80 44 73 55 60 49 Test the hypothesis using the 0.05 level of significance.
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
Given a population of N=93, starting in row 29 of the table of random numbers, and reading across the row, select a sample of n=15 a. without replacement. b. with replacement. Column Row 00000 00001 11111 11112 22222 22223 33333 33334 12345 67890 12345 67890 12345 67890 12345 67890 28 06873 21440 75593 41373 49502 17972 82578 16364 29 12478 37622 99659 31065 83613 69889 58869 29571 30 57175 55564 65411 42547 70457 03426 72937 83792 31 91616 11075 80103 07831 59309 13276 26710 73000 32 78025 73539 14621 39044 47450 03197 12787 47709 Choose the correct answer below. A. 12, 47, 83, 76, 22, 99, 65, 93, 10, 65, 83, 61, 36, 98, 89 B. 12, 47, 83, 76, 22, 65, 93, 10, 61, 36, 89, 58, 86, 92, 71 C. 47, 83, 76, 22, 99, 65, 93, 10, 65, 83, 61, 36, 98, 89, 58 D. 83, 76, 22, 99, 65, 93, 10, 65,…
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.A particular industrial product is shipped in lots of 50. Testing to determine whether an item is defective is costly; hence, the manufacturer samples production rather than using a 100% inspection plan. A sampling plan constructed to minimize the number of defectives shipped to customers calls for sampling five items from each lot and rejecting the lot if more than one defective is observed. (If the lot is rejected, each item in the lot is then tested.) If a lot contains four defectives, what is the probability that it will be accepted? * 0.855 O 0.755 0.655 0.955
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