An experimenter wishes to compare the sales of two restaurants. She randomly sel
ID: 3073899 • Letter: A
Question
An experimenter wishes to compare the sales of two restaurants. She randomly selected eleven days from last year for both restaurants and recorded the sales of each restaurant on those days. The output from Excel is below:
t-Test: Two-Sample Assuming unequal Variances
Restaurant 1
Restaurant 2
Mean
30
55
Variance
353.6552
1657.742
Observations
11
11
Pooled Variance
1000
Hypothesized Mean Difference
0
df
20
t Stat
-2.03541
P(T<=t) two-tail
0.055277
t Critical two-tail
2.085963
What do you conclude from the above analysis?
There is NOT enough evidence to support that the mean sales in Restaurant 1 is LESS THAN the mean sales in Restaurant 2.
There is enough evidence to support that the mean sales in Restaurant 1 is EQUAL TO the mean sales in Restaurant 2.
There is enough evidence to support that the mean sales in Restaurant 1 is GREATER THAN the mean sales in Restaurant 2
There is NOT enough evidence to support that the mean sales in Restaurant 1 is EQUAL TO the mean sales in Restaurant 2.
t-Test: Two-Sample Assuming unequal Variances
Restaurant 1
Restaurant 2
Mean
30
55
Variance
353.6552
1657.742
Observations
11
11
Pooled Variance
1000
Hypothesized Mean Difference
0
df
20
t Stat
-2.03541
P(T<=t) two-tail
0.055277
t Critical two-tail
2.085963
Explanation / Answer
if t stat < - t crtical or tstat> t critical
we reject the null hypothesis.
but here, -2.085963< -2.03541< 2.085963
So, we accept the null hypothesis
There is enough evidence to support the mean sales in Restaurant 1 is equal to the mean sales in Restaurant 2
Option B
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.