*16. Mr. Sy asserts that fewer than5% of the bulbs that he sells aredefective. Suppose 300 bulbs arerandomly selected, each are testedand 10 defective bulbs are found.Does the data provide sufficientevidence for Mr. Sy to conclude thatthe fraction of dofootivo bulbe ic GLOBEN25%docs.google.com/forms/ [:DTO. III. Jy asserts that lewer than5% of the bulbs that he sells aredefective. Suppose 300 bulbs arerandomly selected, each are testedand 10 defective bulbs are found.Does the data provide sufficientevidence for Mr. Sy to conclude thatthe fraction of defective bulbs isless than 0.05 using a = 0.01? Whichof the following is the is theconclusion?A. The data does not providesufficient evidence for My Sy. Since,the proportion of defective bulbs heis selling is greater than or equal to5%.B. The data provided sufficientevidence for My Sy. Since, theproportion of defective bulbs he isselling is less than 5%.C. The data does not providesufficient evidence for My Sy. Since,the proportion of defective bulbs heis selling is less than 5%.D. The data provided sufficientevidence for My Sy. Since, theproportion of defective bulbs he isselling is greater or equal to 5%.!3:22

Given,sample size(n)=300and X=10α=0.01H0:P≥0.05H1:P<0.05

Answered: 16. Mr. Sy asserts that fewer than 5%…

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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Imagine that a study of prostate cancer was initiated in Des Moines, Iowa. A total of 1,000 men, 55-64 years of age, with no prior evidence of prostate cancer were enrolled in the study. Each year during the study, the men being observed were examined and tested for presence of prostate cancer. The results of annual examinations revealed: 10 cases confirmed at 1st exam 15 additional cases at 2nd exam 20 additional cases at 3rd exam 25 additional cases at 4th (final) exam What is incidence density of prostate cancer in this group?
4. Suppose 1% of the people in California have a certain type of cancer. The state isconsidering testing everyone in the state for the cancer. A person with the cancerhas a 95% chance of testing positive. A person without the cancer has a 10%chance of testing positive. If a doctor observes a positive test, what is theprobability that a patient has the cancer??
A computer company wants to determine if there is a difference in the proportion of defective computer chips in a day’s production from two different production plants, A and B. A quality control specialist takes a random sample of 100 chips from the first hour of production from plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 100 chips from the last hour of production from plant B and determines that there are 10 defective chips. Assuming conditions for inference are met, what is the 90% confidence interval for the true difference in proportions of defective chips from a day’s production between the two plants? Find the z-table here. (0.12 minus 0.10) plus-or-minus 1.96 StartRoot StartFraction 0.12 (1 minus 0.12) Over 100 EndFraction + StartFraction 0.10 (1 minus 0.10) Over 100 EndFraction EndRoot (0.12 minus 0.10) plus-or-minus 1.65 StartRoot StartFraction 0.12 (1 minus 0.12) Over 100 EndFraction + StartFraction 0.10 (1 minus…
7. Workers at a large toxic ceanup project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult. Then u-7500 and a -1750 (Reference: Diagnostic Tests with Nursing Applications, S. Loeb). A random sample of n =50 workers from the toxic cleanup site were given a blood test that showed x = 6820. What is the probability that, for healthy adults, I will be this low or lower?
6. A survey conducted in 2015 by the health center at a university showed that 29% of the students smoked. In 2019, a new survey was conducted on a randome sample of 80 students from this university, and it was found that 22 of them smoke. We want to check whether these data provide evidence to suggest that the percentage of students who smoke has decreased over the four year period. Do the test at 19% signficance level. Select the tail type of this test. a) Right tail b) Left tail c) Two tail d) Center
7. A company that packages peanuts states that a maximum of 6% of the peanut shells contains no nuts. At random, 300 peanuts were selected and 21 of them were empty. At 0.05 CI, determine if the claims is true.
16.
14. A total of 12 participants were randomly assigned to one of three treatment groups: antidepressant medication ("drug"), weekly psychotherapy ("therapy”), or no treatment ("control"). Depression scores were collected 8 weeks after treatment began. We want to know how effective the depression treatments were (that is, do the mean depression scores differ between groups?). Drug Drug Drug b) Determine what test to use. Drug Therapy Therapy Therapy Therapy Control Control Control Control a) What are the null and alternative hypotheses? 8 9 14 6 12 7 15 8 22 25 18 20 c) Determine alpha, how many tails are there, what are the df and find a critical value.
8. Cheap plastic children's dice are made by pressing divots in the die faces causing the dice to be unbalanced, e.g. the side with a 6 will be light and the side with a 1 will be heavy. To test this claim, dice were rolled 180 times and the observed frequencies of 1-6 were found to be 30, 32, 22, 34, 39, 23. (The data are in worksheet 9.8.) Test the observed frequencies to see if they are consistent with the null hypothesis Ho: The dice are balanced versus HA: The dice are unbalanced by: a. Manual calculate the x² statistic and compare it to the appropriate critical value. b. Confirm your answer to part a using MINITAB Stat> Tables> Chi-square Goodness of Fit Test (One Variable).
9. Mr. Sy asserts that fewer than 5% * of the bulbs that he sells are defective. Suppose 300 bulbs are randomly selected, each are tested and 10 defective bulbs are found. Does the data provide sufficient evidence for Mr. Sy to conclude that the fraction of defective bulbs is less than 0.05 using a = 0.01? Which of the following is the appropriate null hypothesis? A. p > 5% B. p ≤ 5% C. p = 5% D. p = 5% O A. B. C. O D.
6.
9. The taste test for PTC (phenylthiourea) is a common class demonstration in the study of genetics. It is know that 70% of the American population are "tasters" and 30% are "non-tasters". Suppose a genetics class of size 20 does the test to see if they match the U.S. percentages of "tasters" and “non-tasters". Assume the assignment of students to classes is a random process. a. Use the binomial expansion formula to write the expression you would use to find P(X=15 tasters) but do not evaluate the expression. Answer: b. Evaluate the expression in part a using a calculator. Answer: c. Using the notation in part a.), write out all of the probabilities need to evaluate P(X < 5 non-tasters). Use your calculator to evaluate the probability. Answer: d. Explain what probabilities you would use to evaluate P(3 < X < 9) Answer:

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16. Mr. Sy asserts that fewer than 5% of the bulbs that he sells are defective. Suppose 300 bulbs are randomly selected, each are tested and 10 defective bulbs are found. Does the data provide sufficient evidence for Mr. Sy to conclude that *