Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: µ = 50; a = 0.04; & = 3.14. Sample statistics: x = 48.8, n= 60 Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. H ' μ= 50 Hai µ#50 Ο Β . Ho: μ= 50 Ha:iH< 50 O C . H0: μ> 0 Haiµ = 50 O D. Ho: µ = 50 Hai u> 50 O E. Ho: u#50 Ha:µ= 50 O F. Ho: H< 50 Haiµ= 50 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are ± Determine the outcome and conclusion of the test. Choose the correct answer below. O A. Fail to reject Ho. At the 4% significance level, there is not enough evidence to reject the claim. O B. Fail to reject Ho. At the 4% significance level, there is not enough evidence to support the claim. O C. Reject Ho. At the 4% significance level, there is enough evidence to reject the claim. O D. Reject Ho. At the 4% significance level, there is enough evidence to support the 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 + ...