Suppose that a study of elementary school students reports that the mean age at which children begin reading is5.7 years with a standard deviation of 1.2 years.Step 1 of 2: If a sampling distribution is created using samples of the ages at which 60 children begin reading, whatwould be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

GivenMean(μ)=5.7standard deviation(σ)=1.2sample size(n)=60

Answered: Suppose that a study of elementary…

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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Alex wants to find out: if the standard deviation of the mean for the sampling distribution of random samples of size 256 from a large or infinite population is 9, how large must the sample size become if the standard deviation is to be reduced to 2.7 (or even smaller)?
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?
A researcher would like to estimate the mean amount of money that a family spends to within $75. If the amount spent by a family is considered to be normally distributed with a standard deviation of $412, what sample size would be necessary to be 93% confident?
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 21.2 pounds and a standard deviation of 4.6 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 85 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Suppose that the efficacy of a certain drug is 0.56. Consider the sampling distribution (sample size �=99) for the proportion of patients cured by this drug. What is the mean of this distribution? What is the standard error of this distribution? Round the answer to three decimal places.
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
If we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messages

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