Problem # 5: Glo-lite light bulbs are advertised as having an average life of 600 hourswith a standard deviation of 20. Consumer's Advocates (CA) has received numerouscomplaints that the bulbs burn out much more quickly. In order to check on the validityof these complaints, CA tests a sample of 25 bulbs and obtains: X=580.2. (a) Setup H, and H. (b) Perform the statistical test (a=.05). (c) Draw finalconclusions. (d) Now repeat using a = .01.

Given, Population mean, Population standard deviation, Sample size, Sample mean,

Answered: Problem #5: Glo-lite light bulbs are…

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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QUESTION 1 A recent study of over 1000 parents on cyberbullying showed that a 95% confidence interval of proportion of kids who faced bullying in social media sites and apps is (0.1200, 0.1433). Find the sample proportion of kids who faced bullying in social media sites and apps. Round your answer to four decimal places. QUESTION 2 The amount of time a bank teller spends with each customer has a population mean of 5 minutes and a standard deviation of 1.5 minute. If a random sample of 36 customers is selected, what is the probability that the sample mean is less than 4.5 minutes? Round your answer to four decimal places. QUESTION 3 The daily electrical energy consumption (in Watts) during July for a random sample of households was recorded. The mean was 3399 W and the standard deviation was 316 W. Assume the underlying distribution of the consumption is normal. Find the marging of error E of the 95% confidence interval for the mean daily electrical energy consumption during that month.…
Question 17 Subparts b, c , f
Question 5 A common claim is that garlic lowers cholesterol levels. In a test of the effectiveness of garlic, 45 subjects were treated with doses of raw garlic, and their cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (in mg/mL) have a mean of 4.94 mg/mL and a standard deviation of 18.51 mg/mL. Construct a 95% confidence interval for the average net change in LDL cholesterol after the garlic treatment. i. Procedure: Select an answer Select an answer One proportion Z procedure One mean T procedure One mean Z procedure One variance x² procedure ii. Assumptions: (select everything that applies) Simple random sample Sample size is greater than 30 Population standard deviation is unknown Population standard deviation is known The number of positive and negative responses ar Normal population iii. Unknown parameter: Select an answer Select an answer u, population mean o², population variance p, population proportion
Question 14
QUESTION 4 PART A- What is the standard error of the correlation coefficient for the association of extroversion and neuroticism in personalities? QUESTION 4 PART B- Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C). DATA IS ATTACHED.
Question 4 of 7 Big babies: The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the o 0.05 level of significance and the critical value method with the @ Critical Values for the Student's t Distribution Table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.
Question 3 Assume the average teenager sends 250 text messages per day. You sample 28 local teenagers and find that they send 232 messages per day with a standard deviation (calculated with the correction) of 64 messages per day. What decision would you make based on these data? Fail to reject the null hypothesis; we cannot conclude that there is any difference between our sample and the nation. Fail to reject the null hypothesis; the local teenagers text more than the national average. Reject the null hypothesis; there is no evidence of a difference between our sample and the nation. Reject the null hypothesis; our sample sends significantly fewer text messages than the national average.
Question 12 of 12 Assume a media agency reports that it takes television streaming service subscribers in the U.S. an average of 5.88 days to watch the entire first season of a television series, with a standard deviation of 3.93 days. Scarlett is an analyst for an online television and movie streaming service company that targets to the 18-50 age bracket. She wants to determine if her company's customers exhibit shorter viewing rates for their series offerings. Scarlett plans to conduct a one-sample ?-test, with significance level of ?=0.05, to test the null hypothesis, ?0:?=5.88 days, against the alternative hypothesis, ?1:?<5.88 days. The variable ? is the mean amount of time, in days, that it takes for customers to watch the first season of a television series. Scarlett selects a simple random sample of 725 customers who watched the first season of a television series from the company database of over 25,000 customers that qualified. She compiles the summary statistics…

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