
MATLAB: A Practical Introduction to Programming and Problem Solving
5th Edition
ISBN: 9780128163450
Author: ATTAWAY
Publisher: ELSEVIER
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Chapter 6, Problem 15E
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es
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Consider an experiment to determine the effects of alcohol and marijuana on driving. Five randomly
selected subjects are given alcohol to produce legal drunkenness and then are given a simulated driving
test (scored from a top score of 10 to a bottom score of 0). Five different randomly selected subjects are
given marijuana and then the same driving test. Finally, a control group of five subjects is tested for driving
while sober. The driving test scores and the One-Way ANOVA table for these data are shown below. Test the
hypothesis that there is a difference among the means of the three groups at 1% significance level.
Alcohol
3
Drugs
2
Control
8
4
6
7
2
4
8
1
4
3
3
5
6
The following is the summary statistics for the table above generated from an Excel one-way ANOVA
analysis:
ANOVA
ces
SS
df
MS
F
P-value
Between
46.800
2
23.400
13.500
0.000848594
Groups
Within
20.800
12
1.733
Groups
Total
67.600
14
Based on the Excel output, does there appear to be a…
1.
with
Suppose we obtain a random sample of size 64 from a population
31 and σ = 4. Using the Central Limit Theorem,
(a) Find the probability that the sample mean falls in the interval
(29.5, 31.5).
(b) Find the 15th and 70th percentiles for the sampling distribution
of ; that is, find P15 and p70 such that
P(P15) 0.15 and P(≤P70) ≈ 0.70.
2.
Use the t-table as needed and the following information to solve
the following problems. Based on a sample of size n = 21 drawn from
some(approximately) normally distributed population with unknown
population mean μ and unknown population variance o², we have
82.28 and s = 7.2
(a) Based on the given data information, find the 95% confidence in-
terval for the population mean. Round your answer to two decimal
places.
(b) Based on the confidence interval got in (a), do you believe that
the mean length for the population of all screws is 85? Why?
Chapter 6 Solutions
MATLAB: A Practical Introduction to Programming and Problem Solving
Chapter 6, Problem 6.1PChapter 6, Problem 6.2PChapter 6, Problem 6.3PChapter 6, Problem 6.4PChapter 6, Problem 6.5PChapter 6, Problem 6.6PChapter 6, Problem 6.7PChapter 6, Problem 1EChapter 6, Problem 2EChapter 6, Problem 3E
Chapter 6, Problem 4EChapter 6, Problem 5EChapter 6, Problem 6EChapter 6, Problem 7EChapter 6, Problem 8EChapter 6, Problem 9EChapter 6, Problem 10EChapter 6, Problem 11EChapter 6, Problem 12EChapter 6, Problem 13EChapter 6, Problem 14EChapter 6, Problem 15EChapter 6, Problem 16EChapter 6, Problem 17EChapter 6, Problem 18EChapter 6, Problem 19EChapter 6, Problem 20EChapter 6, Problem 21EChapter 6, Problem 22EChapter 6, Problem 23EChapter 6, Problem 24EChapter 6, Problem 25EChapter 6, Problem 26EChapter 6, Problem 27EChapter 6, Problem 28EChapter 6, Problem 29EChapter 6, Problem 30E
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- Do not answer: The average income of employees in a company is $50,000 with a standard deviation of $5,000. If a sample of 100 employees is selected, what is the probability that the sample mean income will be between $49,000 and $51,000?arrow_forwardplease skip this question: A researcher wants to model the relationship between hours of study (X) and exam scores (Y). The following data was collected: Hours of Study (X): 1, 2, 3, 4, 5 Exam Scores (Y): 55, 60, 65, 70, 75Calculate the linear regression equation and interpret the slope and intercept.arrow_forwardA factory produces light bulbs, 95% of which pass quality control, while 5% are defective. If 10 bulbs are randomly selected, what is the probability that exactly 2 of them are defective? Use the binomial distribution.arrow_forward
- A company claims that their new product will increase the average sales by 20%. A sample of 50 stores was taken, and the average increase in sales was found to be 18%. The standard deviation of sales increase is 5%. Test the claim at a 5% significance level.arrow_forwardWhat is the difference between descriptive and inferential statistics?arrow_forwardA factory claims that at least 90% of its bulbs last more than 1000 hours. From a random sample of 120 bulbs, 102 bulbs lasted more than 1000 hours. Test the claim at the 5% significance level.arrow_forward
- What is the probability till vowels come together in the word :arrow_forward1. Write down the null and the alternative hypotheses for testing whether or not the mean price per night for a NYC private room depends on the neighborhood. Clearly define any parameters you might use. 2. The missing DF for neighborhood is 3. The missing Error DF is 4. The missing Total DF is 5. The missing Error Sums of Squares (i.e. AdjSS for Error) is 6. The missing Mean Squares for neighborhood (i.e. neighborhood Adj MS) is 7. The missing Mean Squares for Error (i.e. Error Adj MS) is 8. The missing F-value is 9. Using the ANOVA table for Airbnb problem, test hypothesis you formulated in part 1 (use 5% significance level). Write down the conclusion in the context of the problem. 10.arrow_forwardA balanced die is rolled 900 times. An outcome of Point 1 or Point 2 is considered a failure; other outcomes are successes. Let x be the number of successes in rolling 900 times. (a) Find the mean and standard deviation of x. (b) What is the probability at least 605 successes will be obtained in rolling 900 times? (Hint: Use the normal approximation to the binomial distribution to solve this problem.)arrow_forward
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