Can you help with parts d,e,f. Please and thank you. Calvin, president of the company that makes Cocoa Bombs cereal, claims the weight of a box of Cocoa Bombs is normally distributed with a mean of 18 ounces and a standard deviation of ½ ounce.  Calvin recognizes that it is important for boxes to contain exactly 18 ounces of cereal because underweight boxes can generate costly attacks from consumer groups and overweight boxes increase cost because they contain too much cereal.  During a quality control check, Calvin takes a random sample of 100 cereal boxes and determines the sample mean weight is 17.9 ounces.   ​a.​State the null and alternative hypothesis that would be used to test the claim that a box of Cocoa Bombs contains exactly 18 ounces of cereal.   b.​What is the appropriate test statistic?   c. ​Determine the critical value(s) for this test using a 5% significance level.  d.​Calculate the value of the test statistic.  e.​What is your decision and conclusion?  ​f.​What p-value is associated with this sample result?

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 + ...