Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p = 0.8. Completeparts (a) through (c) below.(b) What is the probability of obtaining x = 105 or more individuals with the characteristic? That is, what is P(p20.84)?P(p20.84) = 0.1318 (Round to four decimal places as needed.)(c) What is the probability of obtaining x = 90 or fewer individuals with the characteristic? That is, what is P(ps0.72)?P(ps0.72) = |(Round to four decimal places as needed.)

b) Assume that p as the true population proportion.

Answered: Suppose a simple random sample of size…

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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The mean checkout time in the express lane of a large grocery store is 2.7 minutes, and the standard deviation is 0.6 minutes. The distribution of checkout times is non-normal (for one thing, it can be a lot longer than 2.7 minutes, but it can only be so short).(a) What is the probability that a randomly-selected customer will take less than 3 minutes? 0.69150.3085 It cannot be determined from the information given. (b) What is the probability that the average time of two randomly-selected customers will take less than 3 minutes? It cannot be determined from the information given.0.2389 0.7611 (c) The probability that the average time of 64 randomly-selected customers will take less than 2.8 minutes is (d) The probability that the average time of 81 randomly-selected customers will take less than 2.8 minutes is (e) The probability that the average time of 225 randomly-selected customers will take less than 2.8 minutes is (f) The probability that the average time of 400…
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(7) If X is a normal random variable with a mean of 50 and a standard deviation of eight, how many standard deviations away from the mean is each of the following values of x? (a) 52 (c) 35
3. A survey on a random sample of 1000 farmers shows that 17% of them spend more than S700 per year on seeds. Assume the population proportion is p =.17. Show the sampling distribution of p, the sample proportion of farmers spending more than $700 per year on seeds. What is the probability that the sample proportion will be within +.02 of the population proportion'? Answer part (b) for a sample of 1600 households. d. e. f.
Suppose a simple random sample of size n = 200 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic isp = 0.2. Complete parts (a) through (c) below. (b) What is the probability of obtaining x = 50 or more individuals with the characteristic? That is, what is P(p20.25)? P(p20.25) = .0385 (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 26 or fewer individuals with thể characteristic? That is, what is P(p s0.13)? as POs0.13) = (Round to four decimal places as needed.)
3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
In a study of life expectancy in a certain region, the mean age at death was 70 years, and the standard deviation was 5 years. The life expectancy (years) is assumed to follow a skewed distribution. Suppose that a random sample of 45 people from this region is selected. The mean life expectancy (years) of the sample is considered a random variable. What is its standard error? 0.5976 O 2.2361 O 5.2341 O 0.1111
A random sample of n = 100 observations is selected from a population with u = 31 and o = 21. Approximate the probabilities shown below. a. P(x2 28) c. P(xs 28.2) b. P(22.1sxs26.8) d. P(x2 27.0) Click the icon to view the table of normal curve areas.
How were the answers of 0.0344, 0.4656, 0.1470, and 0.1470 attained?
None
Suppose a simple random sample of size n=50 is obtained from the population whose size is N=10,000 and whose population proportion with the specified characteristic is p=.4. what is the probability of obtaining x=21 or more individuals with the characteristic? that P( p̂ ≥0.42)?
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