You will be performing an analysis on female heights, given ofset of 30 heights that were randomly obtained. For this project, itis necessary to know that the average height for women is assumedto be 65 inches with a standard deviation of 3.5 inches. You willuse these numbers in some of your calculations.

a. As you know, a random sample of 30 women’s heights wasobtained. Describe the sampling distribution. Use a full sentencehere to describe the sampling distribution. HINT: See the Chapter 8Lecture Notes Key or the Chapter 8 video lecture if you are stuck.You will not use the raw data yet.

b. In StatCrunch or Excel, find and state the mean of the 30women’s heights that were provided (round to two decimal places).Then (using the values from step 3), calculate the probability thata random sample of 30 women’s heights would result in a mean thatwas the value you found or more. Use this probability in a fullsentence.

c. For this step, please work under the assumption that we do notknow the population mean and standard deviation (and in fact, if weare running this test, it means that we are not sure of thesevalues). Construct a 95% confidence interval for the average heightof a female. Interpret this confidence interval. HINT: You can usethe “with data” option

Height (in Inches)	Name
72.44	Emma
67.53	Olivia
66.71	Ava
62.02	Isabella
73.89	Sophia
65.95	Mia
65.83	Charlotte
64.15	Amelia
65.39	Evelyn
59.68	Abigail
64.24	Harper
66.60	Emily
65.40	Elizabeth
64.72	Avery
67.11	Sofia
61.97	Ella
62.83	Madison
67.20	Scarlett
66.62	Victoria
68.78	Aria
66.13	Grace
64.47	Chloe
66.64	Camila
62.39	Penelope
63.90	Riley
62.97	Layla
59.31	Lillian
66.14	Nora
67.54	Zoey
63.45	Mila