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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The mean weekly earnings of all female workers in a state is $710 and the mean weekly earnings of all male workers in the same state is $760. The standard deviations of the weekly earnings are $86 for the females and $106 for the males. Suppose we take one sample of 316 female workers and another sample of 329 male workers from this state. 1.1. By hand, what is the mean of the sampling distribution of the difference between the mean weekly earnings for females and males? 1.2. By hand, what is the standard deviation of the sampling distribution of the difference between the mean weekly earnings for females and males, rounded to two decimal places?
1.
If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard deviation is 3.4∘3.4∘, then according to Chebyshev's theorem, the percentage of average low temperatures in Rochester, NY between 12.56∘12.56∘ and 23.44∘23.44∘ is at least %.
D A school is tracking its freshmen attendance for the first marking period. Shown below is a table summarizing their findings for the 284 members of the freshmen class. (a) Find the mean and median number of days absent. Round your mean to the nearest tenth. (b) What is the population standard deviation for this data set? Round to the nearest tenth. (c) What proportion of the population that has an absenteeism greater than 4 days? Days Absent Number of Students (x) (fi) 0 158 1 64 2 18 3 22 4 4 5 7 6 8 9 2 13 1
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..]
For a population that has a standard deviation of 22, figure the standard deviation of the distribution of means for samples of size (a)2, (b)4, (c)5 and (d)10.
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?
1. The average salary of senior high school teachers is P 21,200. Assume a normal distribution with standard deviation of P 2,500. What is the probability that the mean for a sample of 36 teachers salaries is less than P20,000?
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.
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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