3. A UCLA researcher claims that the life span of mice can be extended by as much as 25% when the calories intheir diet are reduced by approximately 40% from the time they are weaned. The restricted diet is enriched tonormal levels by vitamins and protein. Assuming that it is known from previous studies that σ = 5.8 months,how many mice should be included in our sample if we wish to be 99% confident that the life span of the samplewill be within 2 months of the population mean for all mice subjected to this reduced diet?4. An electrical firm manufactures light bulbs that have a length life with normal distribution, and a standard devi-

Question(3):Solution:Step 1:Find the Z-score corresponding to a 99% confidence level.The information…

Answered: 3. A UCLA researcher claims that 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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The null hypothesis: H. :|| The alternative hypothesis: H :0 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the researchers' claim that the mean recovery time when treated with multivitamin is less than or equal to the mean recovery time when treated with vitamin C only? Yes No
According to the Pew research center 65% of US adults believe that the government should play a larger role in addressing climate change. A random sample (SRS) of 80 US adults found that 56 US adults believe that the government should play a larger role in addressing climate change. Does this indicate that population proportion of US adults who believe that the government should play a larger role in addressing climate change is MORE THAN 65%? Given: a= 0.05 level 1. List your oH and aH: (symbols and words) 2. State and Check the conditions for the test: 3. Use the information in question: Identify the hypotheses being tested: Find your SE and test statistic by hand: 4. Use the information in question: State your conclusion given 05.0 level, in a complete sentence, in the context of the problem. 5. Use the information in question. Find the 95% confidence interval by hand using: Given z*=1.96
A cohort study is conducted to assess the association between clinical characteristic and the risk of stroke. The study involves n-1,250 participants who are free of stroke at the study start. Each participant is assessed at study start (baseline) and every year thereafter for five years. The following table displays data on hypertension status measured at baseline and hypertension status measured two years later. 1. s 2 Years: Not Hvpertensive 850 45 2 Years: Hypertensive 148 207 Baseline: Not Hvpertensive Baseline: Hypertensive Compute the prevalence of hypertension at baseline Prevalence - Compute the prevalence of hvpertension at 2 vears. Prevalence - Compute the cumulative incidence of hypertension over 2 years. Incidence
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region I: x,; n, = 15 875 1,080 2,330 1,850 1,860 853 1,551 1,230 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x,; n, = 14 540 808 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 | 1,020 In USE SALT (a) Use a calculator with mean and standard deviation keys to verify that x,, S,, x2, and s,. (Round your answers to four decimal places.) X1 ppm S. = ppm X2 ppm 52 ppm (b) Let u, be the…
1. You use a random sample of 1,002 individuals and estimate the following OLS model wage, = 10.6 + 1.2 * Schooling Where wage is measured in dollars per hour and schooling is measured in the number of years of education. You have also calculated TSS = 8,000 and SER = 2.00. a. If a person increases the number of years of schooling by 4 years, what is the predicted effect on their wage? b. The sample average for wage is $25/hour. What is the sample average for years of schooling? c. The sample covariance for wage and schooling is 2.15. What is the sample standard deviation for years of schooling? d. What is the R2? e. If the education variable is in months of schooling rather than years (assume a year of schooling is 12 months), what are R^2, SER and B1.?
A researcher has developed a new drug designed to reduce blood pressure. In an experiment, 22 subjects were assigned randomly to the treatment group and received the new experimental drug. The other 24 subjects were assigned to the control group and received a standard, well-known treatment. After a suitable period, the reduction in blood pressure for each subject was recorded. A summary of these data is: nn x¯x¯ ss Treatment group (new drug) 22 23.48 8.01 Control group (old drug) 24 18.52 7.15 Without using software, how would you estimate the number of degrees of freedom for this problem? Select one: use the larger value, 23, chosen from the two options 21 and 23 use the smaller value, 22, chosen from the two options 22 and 24 use the larger value, 24, chosen from the two options 22 and 24 use the smaller value, 21, chosen from the two options 21 and 23
In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decima
while estimates vary, one website indicated that approximately 44% of US citizens have type O blood. A statistics class tested this claim by having students identify their blood types. In a sample of 64 students, 26 indicated their blood type to be type O. At a=.01, test that the percentage of US citizens with type O blood is less than 44%. The hypotheses for this situation are:
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. REGION I:X1;N1=15 857 1,551 1,230 875 1,080 2,330 1,850 1,860 2,340 1,080 910 1,130 1,450 1,260 1,010 REGION II:X2;N2=14 538 812 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 1,020 (a) Use a calculator with mean and standard deviation keys to verify that x1, s1, x2, and s2. (Round your answers to four decimal places.) x1= ppm s1= ppm x2= ppm s2= ppm…
11.3.5

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