A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44.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 themean 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 softwaredevelopers and find that the mean of the sample is 41 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 for the test?0H₁ :OH₁ :0(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 39 hours. Fill in the blanks to describe aType II error.the hypothesis that u is (Choose one)A Type II error would be (Choose one)(Choose one) when, in fact, μ is (Choose one)μ0<0020XIxXOSO0=08□<口0#0Ś

Let be the population mean number of hours worked per week.Given that,

Answered: (a) What are the null hypothesis Ho and…

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) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that there is a difference in the mean lifetimes of the light bulbs in the two brands? Yes No
Can someone help me understand these two questions I'm not sure how to find the answers? An independent-samples research study uses two samples, each with n = 12 participants. If the data produce a t-statistic of t = 2.50, then which of the following is the correct decision for a two-tailed hypothesis test? Reject the null hypothesis with α = .05 but fail to reject with α = .01. Reject the null hypothesis with either α = .05 or α = .01. Fail to reject the null hypothesis with either α = .05 or α = .01. Fail to reject the null hypothesis with α = .01, but reject the null with α = .05. The results of an independent-samples study are reported as “t (20) = 2.12, p < .05, two-tailed.” For this study, what tcritical values form the boundaries for the critical region? ± 2.093 ± 2.086 ± 2.080 ± 2.074
2
Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3 Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…
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Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. Ho: μ = 6 H₁: μ #6 Suppose you also know the following information. The value of the test statistic based on the sample is 1.518 (rounded to 3 decimal places). The p-value is 0.129 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.3 0.2 0.1-
Suppose there is a claim that a certain population has a mean, 4, that is different than 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H1 as follows. Ho: u=5 H: H=5 Suppose you also know the following information. The critical values are -1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.574 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3+ Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), choose the correct statement. The value of the test…
Number 4
Part 4 of 5 Determine whether to reject H: Do not reject v the null hypothesis H. Reject Do not reject Part: 4 / 5 Part 5 of 5 State a conclusion. There (Choose one) v enough evidence to conclude that the mean FEV, in high-pollution community is less than 2.1 liters.
Suppose there is a claim that a certain population has a mean, µ, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, H and the alternative hypothesis, H, as follows. Ho: µ=9 H1: µ#9 Suppose you also know the following information. The value of the test statistic based on the sample is 1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the…

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