Suppose a simple random sample of size n=50 is obtained from a population whose size is N=25,000 and whose population proportion with a specified characteristic is p=0.4.Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2)....(a) Describe the sampling distribution of p.Choose the phrase that best describes the shape of the sampling distribution below.OA. Approximately normal because n≤0.05N and np(1-p) ≥ 10.OB. Not normal because n≤0.05N and np(1-p) < 10.OC. Not normal because n ≤0.05N and np(1-p) ≥ 10.OD. Approximately normal because n≤0.05N and np(1-p) < 10.Determine the mean of the sampling distribution of p.HA= (Round to one decimal place as needed.)StatcrunchA7esc2# 3с$4%56BOhip&789✔0Sign out Suppose a simple random sample of size n=50 is obtained from a population whose size is N=25,000 and whoseClick here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).HEL(Round to one decimal place as needed.)Determine the standard deviation of the sampling distribution of P.(Round to six decimal places as needed.)(b) What is the probability of obtaining x = 22 or more individuals with the characteristic? That is, what is P(p>0.44)?P(p≥0.44)= (Round to four decimal places as needed.)(c) What is the probability of obtaining x = 19 or fewer individuals with the characteristic? That is, what is P(p ≤0.38)?P(p ≤0.38) = (Round to four decimal places as needed.)StatcrunchFAHsigoje offescK@21#m3с$4vide%hpOll6M

It is given that N=25,000, n=50 and p=0.4.

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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A developer collects a random sample of the ages of houses from two neighborhoods and finds that the summary statistics for each are as shown. Test the hypothesis that the mean age of houses in the two neighborhoods is the same. Assume that the ages of houses in each neighborhood follow a Normal distribution. Complete parts a through c below. Neighborhood 1 Neighborhood Z n₁ = 40 = 54.6 2 = 35 S₁ = 7.88 Y2=41.3 $2 = 7.61 t=7.43 a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df = 72.3. The P-value is 0. (Round to three decimal places as needed.) b) Calculate the P-value of the statistic using the rule that df = min(n₁-1, n₂-1). The P-value is (Round to three decimal places as needed.)
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…
Which of the following is true regarding the sampling distribution of the mean for a large sample size? O It has a normal distribution with the same mean and standard deviation as the population. O It has the same shape, mean, and standard deviation as the population. O It has the same shape and mean as the population, but has a smaller standard deviation. O It has a normal distribution with the same mean as the population but with a smaller standard deviation.
In general, the standard error of the sampling distribution is __________the standard deviation from the related population distribution.. Group of answer choices unrelated to smaller than larger than equal to
The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 2.4 3.4 2.7 1.8 0.9 4.0 2.2 1.1 3.6 0.4 2.1 3.1 (a) Find the sample mean. x=_____ (Round to two decimal places as needed.) (b) Find the sample standard deviation. s=_____ (Round to two decimal places as needed.) (c) Construct a 90% confidence interval for the population mean μ. A 90% confidence interval for the population mean is (__, __) (Round to two decimal places as needed.)
The annual salary for one particular occupation is normally distributed, with a mean of about $132,000 and a standard deviation of about $16,000. Random samples of 26 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.
Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random samples of size 30,50 and 100 from the same population. a. Using the midpoint labels of the three histograms, what would you say about the estimated range of population data from smallest to largest? Does the bulk of the data seem to be between 8 and 12 all in three histograms? b. The population distribution from which the samples were drawn is symmetric and mound shaped, with the top of the mound at 10,95% of the data between 8 and 12, and 99.7% of data between 7 and 13. How well does each histogram reflect these characteristics?
The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately a. 33%. b. 95%. c. 68%. d. 50%.
On average, accountants earn approximately an average of $6500 per year in the United States. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is $8680. Given a sample of 64 electricians, what is the standard deviation for the sampling distribution of the sample mean? a. 1205 b. 8680 c. 6000 d. 1085
Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 225 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.
A Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to two decimal places). 1. O=56, n=4 2. O=56, n=16 3. O=56, n=64 B. What happens to the standard error each time you quadruple the sample size? The standard error is ________ by half.

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