1. Lumber companies dry freshly cut boards in kilns before selling them. As a result of the drying process, acertain percentage of the boards crack. The current drying procedure is known to produce cracks in 16% ofthe boards. The drying supervisor wants to test a new method to determine if fewer boards will crack.(a) State appropriate hypotheses for a significance test in this setting.To investigate, he selected an SRS of 50 boards, dried them using the new method, and found 5 that cracked(p =5/50 =0.10). To detemine if these data provide convincing evidence that less than 16% of the boardswill crack when using the new method, 100 trials of a simulation were conducted. Each dot in the graph belowshows the proportion of boards that cracked in a random sample of 50 boards, assuming that each board has a16% chance of cracking.0.050.15 02 0.250.1Simukated sample proportion ofboards that cracked(b) Use the simulation results to estimate the P-value of the test.(c) Interpret the P-value.(d) What conclusion would you make using a=0.05?

Answered: 1. Lumber companies dry freshly cut…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Based on their records, a hospital claims that the proportion, p, of full-term babies born in the community that weigh more than 7 pounds is 36%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 180 babies born in the community, 46 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 level of significance? Expahel Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H. H : 0 H, :0 (b) Determine the type of test statistic to use. O-0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of full-term babies born in the community that…
Past studies have indicated that the percentage of smokers was estimated to be about 32%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1836 people and found that 552 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.a) Identify the null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the…
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.035 margin of error at a 99% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.035 margin of error? b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.185. Using this new information. what sample size should you gather in order to obtain a 0.035 margin of error
Suppose that in a random selection of 100100 colored candies, 2323% of them are blue. The candy company claims that the percentage of blue candies is equal to 2525%. Use a 0.100.10 significance level to test that claim.
It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 120 students of its 12124 students, 15 were left-handed. Does this provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? Use a 10% level of significance.
A local McDonald's manager will return a shipment of hamburger buns if more than 10% of the buns are crushed. A random sample of 81 buns finds 13 crushed buns. A 5% significance test is conducted to determine if the shipment should be accepted. The p value for this situation is:
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1434 referee calls, with the result that 417 of the calls were overturned. Women challenged 743 referee calls, and 217 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. H1: P1 # P2 H1:P1 = P2 H1:P1
During the Hundred Years’ War (1337-1453), the English and French fought each other. At the Battle of Cr ́ecy, a random sample of 73 knights contained 41 English knights. At the Battle of Agincourt, a random sample of 142 knights contained 56 English knights. Use these sample and a 0.05 significance level to test the claim that the proportion of knights fighting at each battle who were English were equal.
A nutritionist in the FDA wants to compare the caloric content of medium French fries sold by Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if there is any difference between them. To test this, random samples from each chain is taken and the caloric contents of French fries are measured. The finding is summarized in the table on next page. Conduct an independent-samples t test to test whether there is any difference between the caloric content of French fries sold by the two chains, following the steps below. Wendonald McKing = 32 = 30 = 390 calories = 365 calories = 30 calories = 38 calories Write down the null and alternative hypotheses using proper notation Calculate (Write all steps) What is the value of for α = 0.05 with a two-tailed test?
The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 902 Obsidian 10.6% 165 Welded Tuff 11.4% 166 Pedernal chert 13.1% 204 Other 3.6% 49 Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are different.H0: The distributions are different.H1: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the…
b. In 2018, a sample of 300 in-store shoppers showed that 44 paid by debit card. The results shown in the table below were obtained when a sample of 400 in-store shoppers were surveyed in 2019. Year 2018 2019 Shoppers Surveyed Shoppers Paying by Debit Card 44 Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased, and conduct the test using a significance level of 0.01. What is your conclusion? 300 400
Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1902 people and found that 579 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? c) Identify the appropriate significance level. d) Calculate your test statistic (Use ˆpp^ rounded to 4 decimal places). Write the result below, and round your test statistic to 4 decimal places. e) Calculate your p-value. Write the result below, rounded to four decimal places. f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We…

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS