7) The percentage of students at a college that have internet connection at home is 80%. In a random sample of 152 students, what is the probability that more than 38 students have the internet connection at home?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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7) The percentage of students at a college that have internet connection at home is 80%. In a random
sample of 152 students, what is the probability that more than 38 students have the internet connection at
home?
8) A binomial experiment with probability of success p = 0.88 and n = 6 trials is conducted. What is the
probability that the experiment results in
a) 4 or fewer success?
b) 3 successes?
9) Suppose that a random sample of 17 adult US males has a mean height of 69 inches with a standard
deviation of 2.5 inches. If we assume that the heights of adult males in US is normally distributed, find
the 95% confidence interval for the mean height of all US males.
10) A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In
a test of the machine, the discharge amounts in 18 randomly chosen cups of coffee from the machine
were recorded. The sample mean and sample standard deviation were 7.19 fluid ounces and 0.28 fluid
ounces, respectively. If we assume that the discharge amounts are approximately normally distributed,
there enough evidence, to conclude that the population mean discharge, µ, differs from 7 fluid ounces?
Use the 0.05level of significance.
11) Following is the bivariate data set. Answer the questions that follow using the data set. Answer the
following questions using calculator.
X
y
1 2
8 6.9
3
7.8
4
6.3
5
6
7 8
7.2 4.5 4.5
a) Find the correlation coefficient and interpret it.
b) Write down the equation of the line of best fit.
c) Estimate the value of y when x =
5.5.
Page 2 of 2
3.8
9
4.3
Transcribed Image Text:7) The percentage of students at a college that have internet connection at home is 80%. In a random sample of 152 students, what is the probability that more than 38 students have the internet connection at home? 8) A binomial experiment with probability of success p = 0.88 and n = 6 trials is conducted. What is the probability that the experiment results in a) 4 or fewer success? b) 3 successes? 9) Suppose that a random sample of 17 adult US males has a mean height of 69 inches with a standard deviation of 2.5 inches. If we assume that the heights of adult males in US is normally distributed, find the 95% confidence interval for the mean height of all US males. 10) A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 18 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.19 fluid ounces and 0.28 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, there enough evidence, to conclude that the population mean discharge, µ, differs from 7 fluid ounces? Use the 0.05level of significance. 11) Following is the bivariate data set. Answer the questions that follow using the data set. Answer the following questions using calculator. X y 1 2 8 6.9 3 7.8 4 6.3 5 6 7 8 7.2 4.5 4.5 a) Find the correlation coefficient and interpret it. b) Write down the equation of the line of best fit. c) Estimate the value of y when x = 5.5. Page 2 of 2 3.8 9 4.3
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