Answered: Use the following table to answer the…

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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Question

Use the following table to answer the questions 4-6

O A B AB Total

Rh Positive 10 20 40 60 130

Rh Negative 10 30 50 70 160

Total 20 50 90 130 290

4. Select a person randomly. Find the probability of selecting someone with type A blood.
Round to three decimal places.

5. select a person in random. Find the probability of selecting someone who is type A or has
positive Rh factor. Round to three decimal places

6. Select one person in random. Find the probability of someone who is type B blood, given
the person is Rh positive. Round to three decimal places

7. The heights of fully grown sugar maple trees are normally distributed, with a mean of 88
feet and a standard deviation of 6 feet. Select 12 trees at random. Find the probability that
the mean height of these 12 trees are more than 89 feet. Round to three decimal places.

8. A supermarket manager has determined that the amount of time customers spend in the
supermarket is approximately normally distributed with a mean of 45 minutes and a
standard deviation of 5 minutes. Find the probability that a customer spends ( use the
table to answer the following questions)

a. more than 53 minutes in the supermarket. Round to three decimal places

b. less than 50 minutes. Round to three decimal places

d. Between 50- and 53-minutes Round to three decimal places.

9. The ages (in years) of five men and their systolic pressures. (You can use technology)
Age, x 16 25 39 45 49
Systolic blood pressure, y 109 122 143 132 199

a. calculate the correlation coefficient, r

b. calculate the critical r

c. Is there a significant linear relationship between x and y?

d. find the equation of regression line

e Interpret the slope and the y-intercept

f. Predict the systolic blood pressure for a man who is 40 years old.

10. As an aid for improving students’ ability habits, nine students were randomly selected to
attend a seminar on the importance of education in life. The table shows the number of
hours each student studied per week before and after seminar. At ∝=0.10 , test the
claim that attending seminar increased the number of hours the students studied per week
( use p-value approach and technology )
Before 9 12 6 15 3 18 10 13 7
After 9 17 9 20 2 21 15 22 6

a. Claim: _____________

b. Ho:__________ 1H:______

c. P- value:__________

d. Circle one: reject Ho or fail to reject 1H explain your decision

e. Short statement about the claim

11. A guidance counselor claims high school students in a college prep program have
higher ACT scores than those in a general program. The mean ACT score for 49 high
school students who are in a college prep program is 22.1 and the standard deviation is
4.8. The mean ACT score for 44 high school students who are in a general program is
19.6 and the standard deviation is 5.4. At ∝=0.05 test the claim. ( use the classical
approach.)

a. Claim: _____________

b. Ho:________ 1H:_________

c. Graph: left-tailed right-tailed two-tailed

d. Find the T-Stat

e. Find the Critical t

f. Circle one: reject Ho fail to reject 1H explain your decision

g. Short statement about the claim

12. A computer repairer believes that the mean repair cost is more than $95. To test this
claim, you determine the repair costs for seven computers and find that the mean repair cost
is $100 per computer with a standard deviation of $42.50. At ∝=0.10, test the claim. (use-
p-value approach)
a. Claim:

b. Ho
H1

c. P-value:

d. Reject Ho Do not reject Ho

e. Write a statement about the claim

f. Construct a 95% confidence interval for true population mean and interpret the result

13. Scores for a civil service exam are normally distributed, with a mean of 75 and a standard
deviation of 6.5. To be eligible for civil service employment, you must score in the top 5% .
What is the lowest score you can earn and still be eligible for the employment?

a. Graph

b. Score:

14. In gall up poll of 1125 adults, it was found that 47% fly never or rarely. Use a 5%
significance level to test that the percentage of adults who fly never or rarely is 50%. (use
p-value approach)

a. Claim

b. Ho

H1

c. P-value

d. Reject Ho Do not reject Ho

e. Write a statement about the claim

15. A survey of 436 workers showed that 192 of them said it was seriously unethical to
monitor employee email. When 121 senior bosses were surveyed, 40 said that it was
seriously unethical to monitor employee-email. Use ∝=0.05, test the claim that for those
saying that monitoring e-mail is unethical, the proportion employees is greater than the
proportion of bosses. (Use the P-value approach)
a. Write the claim

b. Find the null hypothesis and the alternative hypothesis

c. What is the P-value?

d. Reject Ho OR Do not reject Ho why?

e. Write a statement about the claim

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