hi we are allowed to use help from the internet 1. You are given the following numbers: 2, 5, 6, 11, 15, 17, 19, 24, 29, 33, 35, 2. What is the Q2 (median)? What is the Q1? What is the Q3?2 Draw a 5-summary box plot Consider the following data values:4, 6, 9, 3, 3 What is the mean Calculate the standard deviation What is the variance? A normal distribution of test grades has a standard deviation of 10. Find the z-scores corresponding to each of the following values:A test grade of 60, where the mean grade of the sample data values is = 40. A test grade of 80, where the mean grade of the sample data values is = 30. Scores on a history test have an average of = 70 with standard deviation of 5. What is the z-score for a student who earned a 65 on the test? What is the coefficient of variation? The annual salaries of employees in a large company are approximately normally distributed with a mean of $70,000 and a standard deviation of $30,000. What percent of people earn less than $40,000? What percent of people earn more than $85,000? What percent of people earn between $40,000 and $85,000? Assume women’s heights follow a normal distribution with a mean of u = 64.5 inches and a standard deviation of 2.5 inches. Find the probability that a sample of 14 women have a mean height greater than 65 inches.A survey found that the American family generates an average of u = 17.2 pounds of garbage each day. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean amount of garbage generated in a sample of 55 families will be less than 17 pounds. Suppose 250 randomly selected people are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a tablet ( = .392). Using a 95% confidence level, compute a confidence interval estimate for the true proportion of people who own tablets. (confidence interval for proportion) Suppose we want to estimate the average weight of an adult male in Dekalb County, Georgia. We take a random sample of 1,000 men and weigh them. We find that the average man in our sample weighs 180 pounds (), and the standard deviation of the sample is 30 pounds. Create a 90% confidence interval to estimate the true mean weight of an adult. (confidence interval for means) 200 American adults are surveyed, of which 190 report have cell phones ( = .95). Test the claim that more than 92% of adults have cell phones. Use a 5% level of significance. a) State the claim and the opposite H0: H1: p<0.92What is the significance level? Calculate the test- statistic (formula for proportions) What is the p-value? (remember to check if it is left, right or 2 tail) Do we reject or fail to reject H0? Which is the correct interpretation (circle the correct answer)There is enough evidence to support the claim that more than 92% of adults have a cell phoneThere is not enough evidence to support the claim that more than 92% of adults have a cell phone

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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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hi we are allowed to use help from the internet

1. You are given the following numbers:

2, 5, 6, 11, 15, 17, 19, 24, 29, 33, 35,

2. What is the Q2 (median)?

What is the Q1?

What is the Q3?2

Draw a 5-summary box plot

Consider the following data values:

4, 6, 9, 3, 3

What is the mean

Calculate the standard deviation

What is the variance?

A normal distribution of test grades has a standard deviation of 10. Find the z-scores corresponding to each of the following values:
1. A test grade of 60, where the mean grade of the sample data values is = 40.

A test grade of 80, where the mean grade of the sample data values is = 30.

Scores on a history test have an average of = 70 with standard deviation of 5.

What is the z-score for a student who earned a 65 on the test?

What is the coefficient of variation?

The annual salaries of employees in a large company are approximately normally distributed with a mean of $70,000 and a standard deviation of $30,000.

What percent of people earn less than $40,000?

What percent of people earn more than $85,000?

What percent of people earn between $40,000 and $85,000?

Assume women’s heights follow a normal distribution with a mean of u = 64.5 inches and a standard deviation of 2.5 inches. Find the probability that a sample of 14 women have a mean height greater than 65 inches.

A survey found that the American family generates an average of u = 17.2 pounds of garbage each day. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean amount of garbage generated in a sample of 55 families will be less than 17 pounds.

Suppose 250 randomly selected people are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a tablet ( = .392). Using a 95% confidence level, compute a confidence interval estimate for the true proportion of people who own tablets. (confidence interval for proportion)

Suppose we want to estimate the average weight of an adult male in Dekalb County, Georgia. We take a random sample of 1,000 men and weigh them. We find that the average man in our sample weighs 180 pounds (), and the standard deviation of the sample is 30 pounds. Create a 90% confidence interval to estimate the true mean weight of an adult. (confidence interval for means)

200 American adults are surveyed, of which 190 report have cell phones ( = .95). Test the claim that more than 92% of adults have cell phones. Use a 5% level of significance.
a) State the claim and the opposite

H₀:
H₁: p<0.92
What is the significance level?
Calculate the test- statistic (formula for proportions)
What is the p-value? (remember to check if it is left, right or 2 tail)
Do we reject or fail to reject H₀?
Which is the correct interpretation (circle the correct answer)
There is enough evidence to support the claim that more than 92% of adults have a cell phone
There is not enough evidence to support the claim that more than 92% of adults have a cell phone

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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