A professor knows from past experience that graduate students typically spend approximately 25 hours on their graduation project. This term, her 20 students have reported that they have spent an average of 27 hours with a standard deviation of 3.2. She wants to determine if this amount of time is significantly different from the typical 25 hours. (a)What are the hypotheses for this test?H0:μ ? < = > ≠Ha:μ ? < = > ≠(b)Calculate a 99% confidence interval for the true mean time (in hours) spent on the graduation project. (Use a table or SALT. Round your answers to two decimal places.) , hr(c)Determine whether the following statement is true or false.If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and conclude there is insufficient evidence that true mean time spent on the graduation projects is significantly different than 25 hours.TrueFalse A professor knows from past experience that graduate students typically spend approximately 25 hours on their graduation project. This term, her 20 students have reported that they have spent an average of 27 hours with a standard deviation of 3.2. She wants to determine if this amount of time is significantly different from the typical 25 hours.**(a) What are the hypotheses for this test?**- $ H_0: \mu = $ [Enter value]- $ H_a: \mu \neq $ [Enter value]**(b) Calculate a 99% confidence interval for the true mean time (in hours) spent on the graduation project.** (Use a table or SALT. Round your answers to two decimal places.)- $[ \quad, \quad] \text{ hr}$**(c) Determine whether the following statement is true or false.**If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and conclude there is insufficient evidence that true mean time spent on the graduation projects is significantly different than 25 hours.- ○ True- ○ False

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Description: A professor knows from past experience that graduate students typically spend approximately 25 hours on their graduation project. This term, her 20 students have reported that they have spent an average of 27 hours with a standard deviation of 3.2. S

a) Consider that µ is the population mean hours spent on the graduation project.

Answered: A professor knows from past experience…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A professor knows from past experience that graduate students typically spend approximately 25 hours on their graduation project. This term, her 20 students have reported that they have spent an average of 27 hours with a standard deviation of 3.2. She wants to determine if this amount of time is significantly different from the typical 25 hours.

(a)

What are the hypotheses for this test?

H₀:

μ ? < = > ≠

H_a:

μ ? < = > ≠

(b)

Calculate a 99% confidence interval for the true mean time (in hours) spent on the graduation project. (Use a table or SALT. Round your answers to two decimal places.)

(c)

Determine whether the following statement is true or false.

If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and conclude there is insufficient evidence that true mean time spent on the graduation projects is significantly different than 25 hours.

TrueFalse

A professor knows from past experience that graduate students typically spend approximately 25 hours on their graduation project. This term, her 20 students have reported that they have spent an average of 27 hours with a standard deviation of 3.2. She wants to determine if this amount of time is significantly different from the typical 25 hours.

**(a) What are the hypotheses for this test?**

- $ H_0: \mu = $ [Enter value]
- $ H_a: \mu \neq $ [Enter value]

**(b) Calculate a 99% confidence interval for the true mean time (in hours) spent on the graduation project.** (Use a table or SALT. Round your answers to two decimal places.)

- $[ \quad, \quad] \text{ hr}$

**(c) Determine whether the following statement is true or false.**

If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and conclude there is insufficient evidence that true mean time spent on the graduation projects is significantly different than 25 hours.

- ○ True
- ○ False

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