Question

1. An advertising firm commissioned a study to determine whether the content of TV shows affected the ability of viewers to remember brand names from commercials. Ninety-eight (98) randomly selected people watched a show with violent content. Of the nine commercials shown, they were able to remember an average of 2.84 brand names with a sample standard deviation of 1.51. Ninety-six (96) randomly selected people watched a show with neutral (non-violent) content. Of the same nine commercials shown, they were able to remember an average of 3.97 brand names with a sample standard deviation of 1.62.

1. Carry out by hand a 2-sample t test at the 5% level to test for a difference in brand recollection between the violent and neutral show viewers. (Compute the test statistic and reach the result by using N(0, 1) to estimate the p-value.)
2. Use Minitab to conduct the test at α = 0.05 for a difference in brand recollection between the violent and neutral show viewers.
3. Give an interpretation of your results in the context of the data. Also, interpret the associated confidence interval for this test.
4. How might advertisers make use of these results?

Can you please show your minitab results? Thank You!

Answer 1

Two-Sample T-Test and CI

Method

μ₁: mean of Sample 1

µ₂: mean of Sample 2

Difference: μ₁ - µ₂

Equal variances are assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
Sample 1	98	2.84	1.51	0.15
Sample 2	96	3.97	1.62	0.17

Estimation for Difference

Difference	Pooled StDev	95% CI for Difference
-1.130	1.565	(-1.573, -0.687)

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ ≠ 0

T-Value	DF	P-Value
-5.03	192	0.000

In minitab Stat> Basic stats > 2- sample t test > summarize data> equal var > ok