1. A random sample of Sinister residents are examined and their waist sizes are

Question

1. A random sample of Sinister residents are examined and their waist sizes are shown below 38 39 40 37 35 34 36 37 38 39 140 |45 |42 |43 39 37 35 36 36 37 a. Identify the population(s) being studied b. Identify the variable(s) being studied. State whether each variable is categorical, Boolean or quantitative c. What type of test would be appropriate to determine if the mean waist size in Sinister is less than 40 inches? Are the conditions for this test met? d. State the hypotheses for the procedure you chose. e. How many degrees of freedom are there in this study? Are degrees of freedom even appropriate in this case? f. What is the P-Value? g. At the 0.07 significance level, what conclusion do you reach? Summarize your results. DØLL

Explanation / Answer

here the population studied is the sinister residents for their waist side.

Variable is quantitative and it is the mean

c. This is a candidate of t-test as population sigma is not known. also sample size is less than 30

d.
Below are the null and alternate hypothesis
H0: mu = 40
H1: mu < 40

e. df = 20 - 1 = 19

f.
xbar = 38.15
s = 2.7436

Test statistics, t = (38.15 - 40)/(2.7436/sqrt(20)) = -3.0155

p-value = 0.0036

g.
At 0.07 significance level, we reject null hypothesis.
There are evidence to conclude that waist size in sinister is less than 40.

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