Question

1. GMU Health Center Waiting Time. During the flu season, it is known that the waiting time at the GMU Health Center can be extreme. A statistics student wanted to test her claim that the wait time was greater than 100 minutes. She took a random sample of wait times during the flu season and recorded them in StatCrunch.

1. What is (are) the parameter(s) of interest? Choose one of the following symbols (m (the mean of one sample); m_D(the mean difference of two paired (dependent) samples);m₁ - m₂ (the mean difference of two independent samples) and describe the parameter in context of this question in one sentence.

2. Depending on your answer to part (i), construct one or two relative frequency histograms. Remember to properly title and label the graph(s). Copy and paste the graph(s) into your document.

3. Describe the shape of the histogram(s) in one sentence.

4. Depending on your answer to part (i), construct one or two boxplots and copy and paste these graphs into your document.

5. Does the boxplot (or do the boxplots) show any outliers? Answer this question in one sentence and identify any outliers if they are present.

6. Considering the answers provided in parts (iii) and (v), is inference appropriate in this case? Why or why not? Defend your answer using the graphs in two to three sentences.

Waiting Time

80.13
75.33
50.09
280.56
96.65
31.31
20.09
180.3
25.67
116.83
87.44
114.05
35.49
120.6
126.41
135.78
97.66
19.75
16.55
11.11
10.3

Answer 1

i.  The parameter of interest=m (the mean of one sample).

ii.

(iii) Positively skewed.

(iv)

(v) Yes. There is one outlier and the value is 280.56.

(vi) Since from histogram and box plot it is observed that the distribution is not symmetric hence we can't assume that the data come from normal distribution. So inference drawn based on one sample t test is not appropriate in this case.