It is known that a batch of toys produced at a certain factory in a day has a defect rate of 1%.Suppose the quality inspectors randomly inspect 500 toys from the batch and calculate the proportion of defective toys, what will the the sampling distribution of theproportion look like?The sampling distribution of the sample proportion would be centered aroundwith a standard deviation of_____1%; 2.2250; 2.22O1% ; 0.44%50; 0.44%

The defect rate in the produced toys' batch at the factory in a dayNo. of toys randomly inspected ny…

Answered: It is known that a batch of toys…

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 Pew Research Center poll asked 1102 teenagers (12- to 17-year-olds) in the United States if they have a cell phone. Of the respondents, 71% said yes. Identify the population, the sample, and the sample statistic. Is the sampling distribution normally distributed? What is the mean and standard deviation of the sampling distribution? Find the cutoff for the highest 0.15% of sample proportions. Find the cutoffs for the middle 95% of sample proportions.
The scores of individual students on the American College Testing (ACT), a college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the mean of the sampling distribution of the sample mean score for a random sample of 36 students? 0 1 0 6
Suppose that 62% of the student population has a meal plan at a certain University. For samples of size n = 54, what would you expect the shape, center and spread of the sampling distribution of the proportion of students with a meal plan to be at this University? a. It would be skewed with a mean of 0.62 and standard deviation of 0.066. b. It would be skewed with a mean of 0.62 and standard deviation of 0.004. c. It would be normal with a mean of 0.62 and standard deviation of 0.066. d. It would be normal with a mean of 0.62 and standard deviation of 0.004.
Suppose the true proportion of voters in the county who support a school levy is 0.61. Consider the sampling distribution for the proportion of supporters with sample size n = 187.What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?
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.
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
Suppose the true proportion of voters in the county who support a new fire district is 0.62. Consider the sampling distribution for the proportion of supporters with sample size n = 117.What is the mean of this distribution? What is the standard deviation of this distribution?
Based on their experience with their packaging machine, a manufacturer of breakfast cereal believes that the weight of Krispy Krums cereal boxes is 16 ounces with a standard deviation of 0.2 ounces. 24 boxes are packed into each case. Suppose we look at the mean weight of the 24 boxes in a case. Imagine all the possible random samples of 24 boxes we could take and the distribution of the mean weight within those samples. What would the shape of this sampling distribution look like? BIUA ALEXEE 12pt 9 5 t a 6 DELL h n m Paragraph k ▾ alt Next
The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and standard deviation 0.7 sibling. A random sample of 100 students from the high school will be selected, and the mean number of siblings in the sample will be calculated. Which of the following describes the sampling distribution of the sample mean for samples of size 100 ? Skewed to the right with standard deviation 0.7 sibling A Skewed to the right with standard deviation less than 0.7 sibling B Skewed to the right with standard deviation greater than 0.7 sibling C Approximately normal with standard deviation 0.7 sibling D Approximately normal with standard deviation less than 0.7 sibling E Chose A, B, C, D, or E
Suppose the true proportion of voters in the county who support a school levy is 0.64. Consider the sampling distribution for the proportion of supporters with sample size n = 185.What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?
Suppose the mean blood pressure for people in a certain country is 130 mmHg with a standard deviation of 24 mmHg. Blood pressure is normally distributed. State the random variable. The mean blood pressure of people in the country. The standard deviation of blood pressures of people in the country. O The blood pressure of a person in the country. Suppose a sample of size 10 is taken. State the shape of the distribution of the sample mean. The shape of the sampling distribution of the sample mean is unknown since the population of the random variable is normally distributed and the sample size is less than 30. The sampling distribution of the sample mean is normally distributed since the population is normally distributed. The sampling distribution of the sample mean is unknown since the sample size is less than 30. Suppose a sample of size 10 is taken. State the mean of the sample mean. Suppose a sample of size 10 is taken. State the standard deviation of the sample mean. Round to two…

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