In the past, the average age of employees of a large corporation has been 41 years. Recently, the company has been hiring older individuals. In order to determine whether there has been an increase in the average age of all the employees, a sample of 64 employees was selected. The average age in the sample was 47 years with a standard deviation of 16 years. Let ? = 0.05. (a) State the null and the alternative hypotheses (in years). (Enter != for ≠ as needed.) H0: Ha: (b) Compute the test statistic. (c) Using the p-value approach, test to determine whether or not the mean age of all employees is significantly more than 41 years. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence that the mean age of all employees is significantly more than 41 years.Do not reject H0. There is insufficient evidence that the mean age of all employees is significantly more than 41 years. Reject H0. There is sufficient evidence that the mean age of all employees is significantly more than 41 years.Do not reject H0. There is sufficient evidence that the mean age of all employees is significantly more than 41 years.

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Description: In the past, the average age of employees of a large corporation has been 41 years. Recently, the company has been hiring older individuals. In order to determine whether there has been an increase in the average age of all the employees, a sample of

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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In the past, the average age of employees of a large corporation has been 41 years. Recently, the company has been hiring older individuals. In order to determine whether there has been an increase in the average age of all the employees, a sample of 64 employees was selected. The average age in the sample was 47 years with a standard deviation of 16 years. Let

? = 0.05.

(a)

State the null and the alternative hypotheses (in years). (Enter != for ≠ as needed.)

H₀:

H_a:

(b)

Compute the test statistic.

(c)

Using the p-value approach, test to determine whether or not the mean age of all employees is significantly more than 41 years.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is insufficient evidence that the mean age of all employees is significantly more than 41 years.Do not reject H₀. There is insufficient evidence that the mean age of all employees is significantly more than 41 years. Reject H₀. There is sufficient evidence that the mean age of all employees is significantly more than 41 years.Do not reject H₀. There is sufficient evidence that the mean age of all employees is significantly more than 41 years.

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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