sample is 49 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 H₁ that should be used for the test? Ho : (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 44 hours. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) ▾ the hypothesis that u is (Choose one) (Choose one) when, in fact, u is (Choose one) ▼ F O0 020 0=0 0*0
sample is 49 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 H₁ that should be used for the test? Ho : (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 44 hours. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) ▾ the hypothesis that u is (Choose one) (Choose one) when, in fact, u is (Choose one) ▼ F O0 020 0=0 0*0
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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![**Transcription for Educational Website:**
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44.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 5 hours.
Based on this information, complete the parts below:
(a) What are the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that should be used for the test?
\[ H_0 : \] (Text box for input)
\[ H_1 : \] (Text box for input)
(b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?
(Choose one) (Dropdown menu for selection)
(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 (Choose one) (Dropdown menu) the hypothesis that μ is
(Choose one) (Dropdown menu) when, in fact, μ is
(Choose one) (Dropdown menu).
**Explanation of Diagram:**
The diagram on the right includes symbols and inequality signs. It seems to represent different potential hypotheses or conditions involving the mean number of hours worked (\( \mu \)) and possibly the sample mean (\( \bar{x} \)). Each box likely corresponds to options related to forming hypotheses about these means, helping identify correct relationships and hypotheses in the context of this statistical test.
The symbols used in the diagram are as follows:
- \( \mu > \mu_0 \)
- \( \mu = \mu_0 \)
- \( \mu < \mu_0 \)
- \(\bar{x}\)
- Similar dynamic scenarios where \( \bar{x} \) is compared to a mean \( \mu_0 \)
These visually assist in forming or checking the hypotheses typically associated with statistical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88064515-eba6-4cdf-aa32-7c80830ab54d%2Fb1c525e4-4388-4efc-a77a-ce04dd26c691%2Fx78zoze_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
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 5 hours.
Based on this information, complete the parts below:
(a) What are the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that should be used for the test?
\[ H_0 : \] (Text box for input)
\[ H_1 : \] (Text box for input)
(b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?
(Choose one) (Dropdown menu for selection)
(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 (Choose one) (Dropdown menu) the hypothesis that μ is
(Choose one) (Dropdown menu) when, in fact, μ is
(Choose one) (Dropdown menu).
**Explanation of Diagram:**
The diagram on the right includes symbols and inequality signs. It seems to represent different potential hypotheses or conditions involving the mean number of hours worked (\( \mu \)) and possibly the sample mean (\( \bar{x} \)). Each box likely corresponds to options related to forming hypotheses about these means, helping identify correct relationships and hypotheses in the context of this statistical test.
The symbols used in the diagram are as follows:
- \( \mu > \mu_0 \)
- \( \mu = \mu_0 \)
- \( \mu < \mu_0 \)
- \(\bar{x}\)
- Similar dynamic scenarios where \( \bar{x} \) is compared to a mean \( \mu_0 \)
These visually assist in forming or checking the hypotheses typically associated with statistical analysis.
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