1. In 1955, Life Magazine reported that a 25-year-old mother of 3 children, worked an average of 80 hours each week. Recently, some researchers have been studying whether the women’s movement has resulted in an increase in the work week hours for women (combining employment and at-home work). A study was done to find out if the mean work week has, in fact, increased. A random sample of 81 women were surveyed and the mean was 83 hours with a standard deviation of 10. Using a 95% confidence level, does the sample data support the researcher’s claim that the average number of weekly hours that women work, is greater than 80?

Name: 1. In 1955, Life Magazine reported that a 25-year-old mother of 3
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Description: 1. In 1955, Life Magazine reported that a 25-year-old mother of 3 children, worked an average of 80 hours each week. Recently, some researchers have been studying whether the women’s movement has resulted in an increase in the work week hours for

a. What statistical test will you use to test this data ?

b. State the null and alternative hypothesis.

i. H₀:

ii. H_a:

c. What are the confidence intervals?

d. What is the value of the test statistic?

e. What is the p-value?

f. Circle/highlight the correct decision about the null hypothesis.

Reject H₀Fail to Reject H₀

g. What are your conclusions?

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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