3. A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p be the proportion of high school students who do not get 8 hours of sleep daily. a. What is the mean of the sampling distribution of p ? b. Find the standard deviation of the sampling distribution of p. Round to the nearest thousandth. c. Draw the curve of the sampling distribution of p using Desmos. Find the probability of selecting a sample of 15000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day. Round to the nearest thousandth.

3. A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p be the proportion of high school students who do not get 8 hours of sleep daily. a. What is the mean of the sampling distribution of p ? b. Find the standard deviation of the sampling distribution of p. Round to the nearest thousandth. c. Draw the curve of the sampling distribution of p using Desmos. Find the probability of selecting a sample of 15000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day. Round to the nearest thousandth.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

17. A set of data has a normal distribution with a mean of 22 and a standard deviation of 5. What percent of the data are within the interval from 17 to 32? 18. The School Dance Committee conducts a survey to find what type of music students would like to hear at the next dance. Which sampling method is least likely to result in a biased sample? a. Call 20% of the people in the senior class directory. b. Interview every 10th student as they enter the school. c. Ask every 5th person leaving a school orchestra concert. d. Set up a jazz website where students can list their favorite songs.
2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
A report announced that the median sales price of new houses sold one year was $211,000, and the mean sales price was $272,500. Assume that the standard deviation of the prices is $100,000.a. If you select samples of n=2, describe the shape of the sampling distribution of X .b. If you select samples of n=100, describe the shape of the sampling distribution of Xc. If you select samples of n=100, what is the probability that the sample mean will be less than $290,000.d. If you select samples of n=100, what is the probability that the sample mean will be in between $275,000 and $285,000.
Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? a. the range of the sample data is $ million. (Type an integer or a decimal.) b.The variance of the sample data is (Round to two decimal places as needed.) c. The standard deviation of the sample data is $ million. (Round to two decimal places as needed.)
Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? a. The range of the sample data is million. (Type an integer or a decimal.) b. The variance of the sample data is (Round to two decimal places as needed.) c. The standard deviation of the sample data is $million. (Round to two decimal places as needed.)
2. 60 matches were played in a football tournament. The table to the right shows the number of goals scored in all matches. Number of Goals 1 3 4 5 Number of Matches 18 20 3 a. Find the median number of goals scored per match. b. Find the mean number of goals scored per match. c. Calculate the standard deviation of the goals scored per match.
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 35 47 5 97 25 86 65 66 38 85 55 Range (Round to one decimal place as needed.)
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 the average number of sick days that a person at the company takes per year is 3.2 with a standard deviation of .75. You select a sample of 125 employees. a. Is the sampling distribution for the mean of the sick days for 125 employees normally distributed? Explain how you know in complete sentences and be specific. b. What is the mean and standard deviation for the sampling distribution for the mean of 125 employees sick days? Show your work and calculations. c. Suppose that a group of 125 employees has a mean of 3.7 days. What is the probability that a group of 125 employees would take more sick days than them? You should use technology to find this value and write the probability notation. d. Suppose that a group of 35 employees has a mean of 3.5 days. Would that group have taken an unusual number of sick days?
Consider the data of a businessman that accumulates the daily sales of his restaurant business during the 10-day period. The data are shown below. Php 18,500 Php 23,600 Php 21,210 Php 14,515 Php 20,500 Php 21,700 Php 14,250 Php 18,345 Php 28,550 Php 32,220 What is the sample standard deviation of the given data set? a. 4,678.44b. 5,678.44c 4,768.44 d. 6,678.45
Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any outliers, and are they likely to have much of an effect on the measures of variation? 36 45 45 60 60 95 95 145 180 216 270 350 400 1750 3000 The range of the sample data is (Type an integer or a decimal. Do not round.)
Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations. The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 572 529 346 346 557 356 359 592 470 482