Answer Happy

Need help with question 3,4 and 5 only!!!!!!!!!!!!!!
Find Elizabeth in the data and, given the population mean and
standard deviation, calculate: a. The z-score for Elizabeth
(easiest to be done by hand). b. The probability that a randomly
selected female is shorter than Elizabeth. c. The probability that
a randomly selected female is taller than Elizabeth. d. Interpret
each of these in a sentence (3 full sentences). e. HINT: for this
step you should use the mean and standard deviation that are given
in the paragraph above “Steps”. You should not use a sample mean or
sample standard deviation calculated from the data given.
3. As you know, a random sample of 30 women’s heights was
obtained. Describe the sampling distribution. Use a full sentence
here to describe the sampling distribution. HINT: See the Chapter 8
Lecture Notes Key or the Chapter 8 video lecture if you are stuck.
You will not use the raw data yet.
4. In StatCrunch or Excel, find and state the mean of the 30
women’s heights that were provided (round to two decimal places).
Then (using the values from step 3), calculate the probability that
a random sample of 30 women’s heights would result in a mean that
was the value you found or more. Use this probability in a full
sentence.
5. Explain how what you just calculated in step 4 relates to the
question you were asked in step 2c. Why is the probability in step
4 lower than that in step 2?