Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean = 286 days and standard deviationo = 23 days. Complete parts (a) through (f) below.O A. If 100 independent random samples of size n= 23 pregnancies were obtained from this population, we would expectsample(s) to have asample mean of 279 days or more.O B. If 100 independent random samples of size n = 23 pregnancies were obtained from this population, we would expectsample(s) to have asample mean of exactly 279 days.O C. If 100 independent random samples of size n= 23 pregnancies were obtained from this population, we would expectsample(s) to have asample mean of 279 days or less.

Note: P-value is taken from standard normal distribution table.

Answered: O A. If 100 independent random samples…

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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5.
The mean weight of a fire ant worker is 3.11 mg with a standard deviation of .49 mg. Suppose we randomly select 14 different fire ant workers having weights F1, F2, , F14. Let S = F1 + F2 + ...+F14 and let M = S/14. This means S is the sample sum and M is the sample mean of the selected ant weights. (Note: random selection means F1 F14 are independent.). Assume the Fis are normally distributed. j) What is the expected value of M - 3.11 ? k) What is the standard deviation of [(M - 3.11)/49]/srt14
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MN.27.
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4. You ask an SRS of 1500 college students whether they applied for admission to any other college. Suppose that in fact 35% of all college students applied to colleges besides the one they are attending. The sampling distribution of the proportion of B your sample who say "Yes" is approximately Normal with mean 0.35 and standard deviation 0.01. Sketch this Normal curve and use it to answer the following questions. (You can use the 68-95-99.7 rule for all these questions.) Round to nearest whole percent. (a) What percentage of many samples would have a larger than 0.37? 2.5 (b) What is the probability that your sample will have a less than 0.33?Å (c) what is the probability that your sample result will be either less than 0.33 or greater than 0.35?
The average age of managers in a particular industry is over 35 years old, and we wishe to prove this. The null hypothesis to conduct a statistical test on this theory would be: the population mean is ˃ 35, or the population mean is ≤ 35 or the population mean = 35 or the population mean is ≥ 35.

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