2. The amount of rainfall per month in Gotham City is normally distributed with a mean of2.75 inches and a standard deviation of 0.5 inches. You select a random sample of 16 monthsand compute the mean rainfall.(a) What are the values of the mean and the standard error of the mean for this samplingdistribution of the mean?(b) What is the probability that the sample mean is more than 2.90 inches?(c) What is the probability that the sample mean falls between 2.63 and 2.68 inches?(d) Find a rainfall amount such that the probability that the sample mean falls above it is95%.(e) Find two rainfall amounts symmetric about the mean such that the probability thatthe sample mean falls between them is 99%.(f) What is the probability that the sample mean is below 2.35 inches?(g) Why are we justified in assuming that the sampling distribution of the mean will benormally distributed in this problem?

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Answered: 2. The amount of rainfall per month in…

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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Suppose that the efficacy of a certain drug is 0.43. Consider the sampling distribution (sample size n = 180) for the proportion of patients cured by this drug. What is the mean of this distribution? 0.43 What is the standard error of this distribution? Round your answer to two decimal places. 0.57 X Enter an integer or decimal number [more..]
A B C
Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 16 ads produced by Majesty. f. What is the probability that the sampling error would be less than -1.5 or more than 1.5? (Round your answer to 4 decimal places.) Answer is complete but not entirely correct. Probability 0.27 8 %
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 258 people. a) Complete the table. Age Number of people 18 54 19 69 20 70 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
#03. The average overseas trip cost is $2708 per visitor. If we assume a normal distribution witha standard deviation of $405, what is the probability that the cost for a randomly selected trip is morethan $3000? If we select a random sample of 30 overseas trips and find the mean of the sample, whatis the probability that the mean is greater than $3000?
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 267 people. a) Complete the table. Age Number of people 18 62 19 67 20 75 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
1. Among American women aged 20 to 29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 and 67.6 inches tall, and 10% are more than 67.6 inches tall. Assuming that the height distribution can adequately be approximated by a normal curve, find the mean and standard deviation of the distribution.
What is the sampling distribution of the sample mean salary?
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 mean annual salary for environmental compliance specialists is $66,000, and furthermore assume that the standard deviation is known to be $12,000 What is the probability that a randomly selected environmental compliance specialist has a salary below $60,000. Round to 4 decimal places: For a sample size of n=35, what is the mean and standard deviation for the sampling distribution? Round your answers to two decimal places: If a random sample of 35 specialists is drawn from this population, what is the probability that the mean salary of the sample is less than $60,000. Round to 4 decimal places: Show all work!

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