7. A company produces electric bulbs whose average life time is 180 days and average variation 10 days.It is claimed that, in a newly developed process the mean life time can be increased.(a) Design a decision rule for the process at the 0.05 significance to test 100 bulbs.(b) What about the decision if the average life time of a bulb (i) 184 days (ii) 187 days?(c) If the new process has increased the mean life time to 185 days. Find a and ß for the estimatedmean 183 days for 80 samples.(d) If the estimated average life time for 55 samples is 184 days, find the p-value of the claim of themanufacturer.

Given the average lifetime is 180 days Standard deviation =10 days Note: As per guidelines only…

Answered: 7. A company produces electric bulbs…

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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Suppose steel wires have the tensile strength represented by a normal distribution with mean value equal to 5000N and standard deviation equal to 150N. Knowing that these wires will be used in the manufacture of a steel cable to be mounted on the boom of a crane, what should be the number of wires to be used in the manufacture of this cable so that the probability of the cable breaking with a load less than 50,000N is 2%?What would be the safety factor associated with this probability of failure?Suppose the resistance of the cable is expressed by the sum of the resistance of the wires that make it up.
We have seen that drinking tea appears to offer a strong boost to the immune system. In a study extending the results,' blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). The before and after blood samples were exposed to e.coli bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. Mean production went from 155 pg/mL before tea drinking to 448 pg/mL after tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a standard deviation in the differences of 242. The paper implies that the use of the t-distribution is appropriate. 'Adapted from Kamath, A., et. al., “Antigens in tea-beverage prime human Vy2V82 T cells in vitro and in vivo for memory and non-memory antibacterial cytokine responses," Proceedings of the National Academy of Sciences, May 13, 2003; 100(10): 6009-6014. (a) Which method is…
Suppose that three drugs used to reduce systolic blood pressure are compared in a randomized experiment in which four people use each drug for a month. The data for the reductions in systolic blood pressure for the N = 12 participants follow. Drug 1 Drug 2 Drug 3 7 8 16 2 12 5 5 6 4 10 Calculate the F-statistic for comparing the mean cholesterol reductions for the three drugs. What is the value of F? | (report to 2 decimal places) What are the degrees of freedom for this statistic - Between df? .Within df?
A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is in the table. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance.
Albumin is a liver protein that helps with circulation of hormones, vitamins, and enzymes throughout our body. Reduced albumin concentrations have been associated with severe liness among individuals infected with COVID-19. Suppose we wanted to conduct a study to compare the mean Albumin concentration (gL) between a sample of adult patients hospitalized at MUSC for COVID-19 infection (g=32.8, s-6.0) to the mean Albumin concentration (gL) of healthy U.S. adults (u-34.1, os7.13). How many patients would we need to enroll from MUSC to conduct this study with 95% confidence, and 90% power? From: Chen T, Wu D, Chen H, et al. Clinical characteristics of 113 deceased patients with coronavirus disease 2019: retrospective study (published correction appears in BMJ. 2020 Mar 31;368.m 1295). BMJ. 2020;368:m1091. Published 2020 Mar 26. doi:10.1136/bmj.m1091 O 269 O 164 O 292 O 316
George conducted an experiment to find relation between consuming alcohol and sleep disturbance and body mass index. 300 college students in London completed the survey in thier first yr .the survey had questions related to sleep patterns,height,weight , physical activity, location Find the study design,strength,limitation 2 students in a local school were sent to another the old math class or the new math program to check the credibityl of the new math program.their BMI and endurance were measured and after 4 months since random allocation was not possible ,the teachers gave the morning math classes the new math program and the afternoon math classes completed the old math program Find the study design,strength,limitation
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