When 14 different​ second-year medical students measured the systolic blood pressure of the same​ person, they obtained the results listed below​ (in mmHg). Assuming that the population standard deviation is known to be 10 ​mmHg, use a 0.05 significance level to test the claim that the mean blood pressure level is less than 140 mmHg. Hypertension is defined to be a blood pressure level that is too high because it is 140 mmHg or greater. Assume the blood pressure levels are normally distributed. Based on the hypothesis test​ results, can it be safely concluded that the person does not have​ hypertension? 138 140 135 120 120 125 120 140 130 144 143 130 120 150 a) Identify the null hypothesis and alternative hypothesis. b) Identify the P-value. c) What is the final conclusion? A. Fail to reject H0. There is not sufficient evidence to support the claim.   B. Reject H0. There is not sufficient evidence to support the claim.   C. Reject H0. There is sufficient evidence to support the claim.   D. Fail to reject H0. There is sufficient evidence to support the claim.   d) Can it be safely concluded that the person does not have hypertension?

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 + ...