Website An investment company is planning to upgrade the mobile access to their website, but they'd like to know the pro- portion of their customers who access it from their smartphones. They draw a random sample of 200 from customers who re- cently logged in and check their IP address. Suppose that the true proportion of smartphone users is 36%. a) What would you expect the shape of the sampling distribution for the sample proportion to be? b) What would be the mean of this sampling distribution? c) What would be the standard deviation of the sampling distribution?

Website An investment company is planning to upgrade the mobile access to their website, but they'd like to know the pro- portion of their customers who access it from their smartphones. They draw a random sample of 200 from customers who re- cently logged in and check their IP address. Suppose that the true proportion of smartphone users is 36%. a) What would you expect the shape of the sampling distribution for the sample proportion to be? b) What would be the mean of this sampling distribution? c) What would be the standard deviation of the sampling distribution?

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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Make your own example of mean of a sampling distribution. Also, construct the sampling distribution.
Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
4. Suppose that 15% of all students at your school ride a bicycle to class each day. Suppose further that you take a random sample of 80 students at your school. a. Is 15% number a parameter or a statistic? Explain briefly. b. Are you guaranteed that 15% of your sample ride a bicycle to class each day? Explain briefly. c. Describe the sampling distribution of the sample proportion of these 80 students who ride a bicycle to class each day. (Hint: Be sure to refer to the shape, center, and spread of this sampling distribution.) Also include a well- labeled sketch of this distribution. HCL SYstem
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Suppose that 80% of apples are worm-free. Explain why it would not be unusual to find 84% of a simple random sample of 120 apples to be worm-free but it would be unusual to find 84% of a simple random sample of 480 apples to be worm-free. Use facts about the sampling distributions of sample proportions when n = 120 and when n = 480 to support your explanation.
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One cable company advertises that it has excellent customer service. In fact, the company advertises that a technician will be there within 30 minutes of when a service call is placed. One frustrated customer believes this is not the truth, claiming that it takes over 30 minutes for the cable repairman to arrive. The customer asks 15 of his neighbors how long it has taken for the cable repairman to arrive when they have called for him. The sample mean for this group is 32.2 minutes with a sample standard deviation of 3.6 minutes. Test the customer’s claim at the 0.02 level of significance. (a) State the null and alternative hypotheses (b) Find the value of your test statistic. Draw a picture and label its location on the normal curve. Also shade the area where you will find the p-value. (c) Calculate the p-value from the sample data. Compare it to the significance level. Label it’s value and location on your bell curve (d) Write a full…
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