An electronics manufacturing process has historically had a mean completion time of 70 minutes. It is claimed that, due to improvements in the process, themean completion time, μ, is now less than 70 minutes. A random sample of 12 completion times using the new process is taken. The sample has a meancompletion time of 67 minutes, with a standard deviation of 10 minutes.Assume that completion times using the new process are approximately normally distributed. At the 0.10 level of significance, can it be concluded that thepopulation mean completion time using the new process is less than 70 minutes?Perform a one-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 H₁.HoH₁ :0(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)0:(d) Find the p-value. (Round to three or more decimal places.)0(e) Can it be concluded that the mean completion time using the new process isless than 70 minutes?O Yes O No3|xaXS0=0 OSOO

NOTE:- According to bartleby guidelines expert can solve maximum three subpart of a question and…

Answered: ectronics manufacturing process has…

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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A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was different 10 years. A survey of 75 companies reported in The Wall Street Journal found a sample mean tenure of 8.1 years for CEOs with a standard deviation of s= 4.4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.001. Your hypotheses are: Ho:μ=10 Ha:μ≠10What is the test statistic for this sample? test statistic = (Report answer accurate to 3 decimal places.)What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.)The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the…
A manufacturer of TV tubes has for many years used a process giving a meantube life of 4700 hours and a standard deviation of 1460 hours. A new process is tried to see if it will increase the life significantly. A sample of 100new tubes gave a mean life of 5000 hours. Is the new process better than the old one at a 1% level of significance?
The sociologist finds that for a certain population, the mean number of years of educations is 13.2 years witha standard deviation of 3.04 years. From a certain region, a random sample of 62 people is drawn from thispopulation and recorded a sample mean of 13.96 years. Test the claim that the mean number of years ofeducation is the same from the population with 0.05 level of significance.
Mr. Matar Al Maqbali measured the concentration of Zinc ion in the wastewater received from Industrial samples on daily basis. He has drawn and consider a Gaussian distribution curve with a population mean of 10.254 mg/L and a population standard deviation of 0.155 mg/L. Find the fraction of measurements expected between 10.525 and 10.575 mg/L if many measurements are made.
A laboratory claims that the mean sodium level, u, of a healthy adult is 143 mEq per liter of blood. To test this claim, a random sample of 50 adult patients is evaluated. The mean sodium level for the sample is 140 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Can we conclude, at the 0.1 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
Assume that an internet provider monitors the amount of time that every customer accesses their home internet connection each day. The amount of time that all of their customers access their home internet connection is normally distributed. They access it for an average of 8.9 hours per day with a standard deviation of 2.1 hours. What proportion of samples of 100 will spend less than an average of 9 hours on their home internet per day? Your answer should have 4 decimal places.
The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $14,124. The following year, a random sample of 20 two-year institutions had a mean of $17,124 and a standard deviation of $3700. Is there sufficient evidence at the alpha level of 0.05 to conclude that the mean cost has increased. Show 6 steps of hypothesis
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. How large asample is needed if we wish to be 96% confident that our sample mean will be within 10 hours of the true mean?
Data from a government agency showed that the mean performance rating of employees is 87% with a standard deviation of 10%. Samples of 50 employees’ record were found to have a mean performance of 83. Based on this data, can we say that the mean performance of those employees were below the average at 0.05 level of significance?
Suppose an investigator is looking at age at menarche (first period) and its relationship to the onset of breast cancer in women. The investigator conducted a thorough literature review and wanted to test out the hypothesis that women with an earlier menarche are less likely to develop breast cancer. Suppose the investigator conducted a population based study and found that the average age at menarche was 12.3 years with a standard deviation of 1.3 years. Assuming the investigator finds that women in the highest 10% of the distribution have a relative risk of 1.4 for developing breast cancer. What age at menarche correlates to this percentile? (Hint: highest 10% means 90th percentile)

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