A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspectthat the mean number of hours worked per week by software developers, u, is now less than 44 and wish to do a statistical test. We select a randomsample of software developers and find that the mean of the sample is 41 hours and that the standard deviation is 3 hours.Based on this information, complete the parts below.(a) What are the null hypothesis H. and the alternative hypothesis H₁ that should be used for the test?HoH₁ :0(b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?(Choose one) ▼(c) Suppose the true mean number of hours worked by software engineers is 39 hours. Fill in the blanks todescribe a Type II error.A Type II error would be (Choose one) the hypothesis that u is (Choose one)(Choose one) ▼ when, in fact, μ is (Choose one) ▼μOO0=0 ☐#0

The claimed population mean is .The sample mean is hours.Where the random variable shows the number…

Answered: A somewhat outdated study indicates…

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 single question with sub-parts. Please answer all parts. I appreciate it :(
i already have answer in question A-D. please help me to solve the rest. topic is unkown standard deviation
You want to estimate the mean amount of time Internet users spend on Facebook each month. How many Internet users must be surveyed in order to be 90% confident that your sample mean is within 10 minutes of the population mean? Based on results from a prior survey, assume that the standard deviation of the population of monthly times spent on Facebook is 210 minutes.
John finds that there is a scholarship available to all persons scoring in the top 5 % on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship?
Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly is 120 millimeters of mercury (mm Hg), but she believes that the actual value is higher. She bases her belief on a recently reported study of 19 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 121 mm Hg , and the sample standard deviation was 20 mm Hg. Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the 0.1 level of significance, can it be concluded that μ , the mean systolic blood pressure among elderly adults, is greater than 120 mm Hg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (a) State the null hypothesis H0? and the alternative hypothesis H1? . H0:? H1:? (b) Determine the type of test statistic to…
Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, µ, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 37 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H ,) that should be used for the test? H:u is 7 In the context of this test, what is a Type I error? АТурe I error is 7 fact, u is 7 | the hypothesis that µ is ? when, in Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ?
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 2.2 inches.What is the probability that the height of a randomly chosen child is between 51.3 and 57.1 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer=___________ (Round your answer to 3 decimal places.)
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The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
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