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 75 bpm. Use a 0.05 significance level.   Pulse Rates (bpm) 41 92 84 86 81 63 43 54 59 102 49 54 46 54 47 48 105 58 37 47 79 102 68 58 68 58 85 98 99 35 92 89 103 53 38 99 64 45 37 49 87 74 75 100 37 41 46 49 59 74 Determine the test statistic.   Determine the​ P-value.

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 + ...