A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. Wehave good reason to suspect that the mean number of hours worked per week by software developers, μ, is now less than 44and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is40 hours and that the standard deviation is 5 hours.Based on this information, complete the parts below.(a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used forthe test?Ho : DH₁:0(b) Suppose that we decide to reject the null hypothesis. What sort of error might we bemaking?(Choose one)(c) Suppose the true mean number of hours worked by software engineers is 38 hours. Fill inthe blanks to describe a Type II error.20F3A Type II error would be (Choose one) ▼ the hypothesis that µ is(Choose one)ContinueF4(Choose one) ▼when, in fact, μ is (Choose one)F5MacBook AirF6AFF7

Solution : We have given that, the mean number of hours worked per week by software developers, u,…

Answered: A somewhat outdated study indicates…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A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 49 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? μ x H₁ : H₁ (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 51 hours. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, is equal to 44 ▼the hypothesis that is less than ▼ 44 O□ ロ=ロ G □≠□
i already have answer in question A-D. please help me to solve the rest. topic is unkown standard deviation
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake isμ=19 inches. However, a survey reported that of a simple random sample of 38 fish caught, the mean length was 19.9 inches, with estimated standard deviation of 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is different from μ=19inches? Use α=0.001. What is the value of the test statistic? (Round your answer to two decimal places.)Find the P-value. (Round your answer to four decimal places.)
The mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?
On an intelligence test, the mean number of raw items correct is 236 and the standard deviation is 39. What are the raw (actual) scores on the test for people with IQs of (a) 119, (b) 81, and (c)100? To do this problem, first figure the Z score for the particular IQ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15. (a) What is the raw (actual) score on the test for people with an IQ of 119?
A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. The question is attached.
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 6 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ x Н. : H₁ : (b) Suppose that we decide 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 49 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) when, in fact, is (Choose one) ▼the hypothesis that μ is (Choose one) (Choose one) O
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now less than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 39 hours and that the standard deviation is 4 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? H : μ 2 44 0 H₁ : µ < 44 1 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? Type I (c) Suppose the true mean number of hours worked by software engineers is 44 hours. Fill in the blanks to describe a Type I error. A Type I error would be when, in fact, μ is the hypothesis that u is 3 O
Forty refrigerators from two different models of a refrigerator manufacturer are compared to see if the smaller model uses less energy than the larger model. The energy was measured in kilowatt hours per month (kwh/mo). From years of testing these models, it is known that the standard deviation of kwh/mo is 34 kwh/mo for the smaller model and 40 kwh/mo for the larger one. From this survey, the sample means and standard deviations are 125 and 34, and 90 and 40, respectively. If we conduct a hypothesis test, the decision and conclusion are Group of answer choices Do not reject the null hypothesis and conclude that the average kwh/mo are the same. Reject the null hypothesis and conclude that the average kwh/mo are different. Reject the null hypothesis and conclude that the average kwh/mo for the smaller refrigerator is higher than for the larger model. Do not reject the null hypothesis and conclude that the average kwh/mo for the smaller refrigerator is higher than for…
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, H, is now less than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 40 hours and that the standard deviation is 5 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 OSO H :0 D=0 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) ? (c) Fill in the blanks to describe the Type II error that could occur if the true mean number of hours worked by software engineers is 38 hours. A Type II error would be (Choose one) v the hypothesis that l is (Choose one) (Choose one) when, in fact, H is (Choose one)

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