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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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