Sampling distribution

Himel

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Apr 25, 2020
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hi everyone, I have got a work but I am not pretty sure. Please anyone help me

  1. Suppose that monthly internet access fees for households average $58, with a standard deviation of $27. The distribution of internet access fees is skewed, with most households having cheaper plans, and a few paying much more. 500 randomly-selected households with Internet access were asked how much they pay per month.
    1. (a) State the distribution of the mean monthly access fee in such samples.
    2. (b) Why is it that you can identify the distribution in part (a)?
    3. (c) What is the chance that the mean monthly access fee in the sample would be less than $55?
    4. (d) How do we know the sample was representative of the population?
 
2.2 What’s the design?
Read the brief description related to a statistical study below, and
a) explain why it is an experiment rather than an observational study. Runners recovering from lower leg fractures were randomly allocated to three different training programs. Half of each group also followed a high calcium diet. Bone density measurements were taken for all subjects. Also:
b) identify the factor(s) in the experiment and the number of levels for each.
c) give the total number of treatments.
d) state the response variable(s) measured.
e) explain whether it was blind, or double-blind

I'm not sure how to do any of these questions. Can I please have some help?
 
I stuck at the very first question. I am a bit confused about how to sate a distribution of sample mean.
 
Here's a lovely demonstration of the concepts required for (a) and (b). Run the "WalkThrough Simulation". Very visual and very helpful.
 
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