Use the pulse rates in beats per minute​ (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 79 bpm. Use a 0.05 significance level.   LOADING... Click the icon to view the pulse rate data. Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?     A. H0​: μ=79 bpm H1​: μ≠79 bpm   B. H0​: μ>79 bpm H1​: μ<79 bpm   C. H0​: μ=79 bpm H1​: μ<79 bpm   D. H0​: μ=79 bpm H1​: μ>79 bpm Determine the test statistic.   nothing ​(Round to two decimal places as​ needed.) Determine the​ P-value.   nothing ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim.   ▼   Reject Fail to reject H0. There is ▼   not sufficient sufficient evidence to conclude that the mean of the population of pulse rates for adult females is ▼   greater than not less than 79 bpm.         Pulse Rate​ (bpm)   87 45   43 76   66 90   105 78   83 86   54 71   101 77   90 72   95 100   62 57   98 78   80 83   39 88   65 90   82 36   102 86   82 44   37 69   90 89   70 36   53 38   60 68   40 45   91 66   86 77

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 + ...