Question

Create a random data set consisting of two different samples, drawn from Census data that contains numeric values - such as age. Show details of the sourcing.

State the null and alternate hypothesis in words that apply to the topic you are addressing. Perform a two-sided, two-sample t-test. Explain what you are doing.

Show the graph of the test will all features shown and labeled

State the conclusion of the test and grounds.

Answer 1

The graphs are:

	No prescription	Prescription
count	11	11
mean	35.7200	33.0127
sample standard deviation	2.6415	3.6660
sample variance	6.9777	13.4394
minimum	29.98	28.12
maximum	38.75	39.51
range	8.77	11.39
1st quartile	34.8650	30.2950
median	36.7800	31.4500
3rd quartile	37.2100	35.9450
interquartile range	2.3450	5.6500
mode	37.2100	#N/A
low extremes	0	0
low outliers	1	0
high outliers	0	0
high extremes	0	0

The independent samples t-test assuming equal variance will be used here.

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

No prescription	Prescription
35.7200	33.0127	mean
2.6415	3.6660	std. dev.
11	11	n
	20	df
	2.70727	difference (No prescription - Prescription)
	10.20857	pooled variance
	3.19509	pooled std. dev.
	1.36239	standard error of difference
	0	hypothesized difference
	1.987	t
	.0608	p-value (two-tailed)

The p-value is 0.0608.

Since the p-value (0.0608) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we can conclude that µ1 = µ2.

No prescription	Prescription
34.5	35.75
37.21	29.75
32.25	37.23
38.24	36.14
38.75	33.54
35.23	31.27
35.65	28.12
37.21	30.84
36.78	31.45
37.12	29.54
29.98	39.51