A random sample of 50 students who took an aptitude test had a mean raw score of 32. An evaluator from the school claims the score is at least 30. At 5% level of significance is there enough evidence to support the evaluator’s claim? Assume the population standard deviation is 4.5 points. a. Display the hypothesis structure, identify the claim and the test type b. Find the p-value and indicate if the null hypothesis should be rejected or not. p = c. Circle one: Reject Null hypothesis Fail to reject Null hypothesis Circle one: Reject Claim Accept Claim

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 + ...