The mean work week for new college graduates is believed to be about 53 hours. A univeristy career office believes that it has changed in recent years. They conduct a survey of recent graduates. You wish to test the claim that the mean numbers of hours that college graduates work per week is not equal to 53 hours at a significance level of α=0.01α=0.01. 1) Setup competing hypotheses Choose the correct null hypothesis: H0:μ≤53 H0:μ≥53 H0:μ=53 Choose the correct alternative hypothesis: Ha:μ≠53Ha:μ≠53 hours Ha:μ>53Ha:μ>53 hours Ha:μ<53Ha:μ<53 hours   2) Sample data (no answers for this part) You obtain a sample of size 38 with a mean of 48.5 hours and a standard deviation of 13.1 hours. 3) What is the test statistic and the pp-value for this sample?   test stat.  =   Round your answer to 3 decimal places. pp -value =   Round your answer to 4 decimal places. Don't forget to recalculate the standard deviation before calculating the answers. 4) Make a decision The p-value is... less than (or equal to) α=α= 0.01 greater than α=α= 0.01 This p-value leads to the decision... reject the null hypothesis do not reject the null hypothesis

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 + ...