Hello,  I am having trouble with this math problem.  Can you please explain to me steps  of this  math problem.  Thank you. The lengths of time​ (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 5.3 years. At α= 0.07​, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years? Complete parts​ (a) through​ (e).     8.4 20.3 22.7 20.9 15.6 20.9 13.9 22.2   14.7 9.8 21.8 14.4 12.8 18.8 20.4 8.7   7.9 19.4 22.5 13.7 14.8 15.3 18.7 19.9   16.8 19.8 18.4 22.4 13.9 15.5 15.1 18.8   (a) Identify the claim and state the null hypothesis and alternative hypothesis HO: u=14 claim  HA:  U not equal 14 ( B) Identify the standardized test statistic. Use technology.        z= __________  (  Round to  two decimal places needed.) (c) Find the​ P-value.      __________ (Round to three decimal places as​ needed.) (d) To determine whether to reject or fail to reject the null​ hypothesis.        __________ Can  you please  break down  this  math problem.  Thank you.

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 + ...