In a controlled laboratory environment, random samples of 100 adults and 100 chi
ID: 3435088 • Letter: I
Question
In a controlled laboratory environment, random samples of 100 adults and 100 children were tested to determine the room temperature at which they feel the most comfortable summarized below: Run a hypothesis test to test the (null) hypothesis that the two groups do not differ in their temperature preferences versus the (alternative) hypothesis that they are different in their preferences, using a = 0.05 Calculate a 95% two-sided confidence interval for the difference between the two population means. Define the parameter of interest Specify the null hypothesis (Ho) and alternative hypothesis (HA). Specify a sampling experiment and a Test Statistic that will be used as evidence. Set an upper limit (alpha level) on the probability of a Type I error. Run the experiment and calculate the value of the Test Statistic. Calculate the p-value of the test. State the decision of the test (reject Ho or foil to reject Ho). State any necessary assumptions needed for the test results to be valid.Explanation / Answer
The question is on comparison of children with adults regarding the room temperature at which they are more comfortable.
H0: mu1 = mu2
Ha: mu1 not equals mu2
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z for 95% CI= 1.96
declare p larger than alpha=0.05 not significant.
mean1 eq: 753.5 (variance= 20.25) (se= 0.45)
mean2 eq: 74.5 (variance= 6.25) (se= 0.25)
Difference between means:
M1-M2=753.5-74.5=0.679
sd=6.4048; se=0.5148
95% CI of difference:
677.99 <679< 680.01
t-difference: 1319.006
df-t: 154.3; p= 0
As p value is small reject null hypothesis.
The difference between children and adults is statistically significant.