At 5% significance level, test the hypothesis that those who visit dining facility daily are less satisfied than those who don't visit facility daily. In the answers provide test statistics, p value and conclusion. Use subscript 1 for daily visitor and 2 for those who don't visit dining facility daily.

Overall satisfaction with facility

Visits

4

5

Frequency of Visit

Satisfaction

4

4

Mean

SD

t -static CV table

-1.671

3

1

Daily

2.96

1.098484

Calculated t - value

-1.99815

5

1

Not Daily

3.432432

0.765236

p-value

0.02512

4

1

pval

1.517

0.536

3

4

d.f. = 25 + 37 -2

60

4

1

Difference of means

-0.472

(-1.671, infinity)

3

4

Difference of STD

0.2532

t Value -1.99815

4

5

This is a one tailed, left tailed test as the question is only asking for less satisified visits.

4

3

This is a test of two means with assumed normal distribution.

3

5

The context of the comparison is to see if regular customers are more likely to have a bad experience on a more common basis. If the mean of the daily visits is lower than the mean of the non daily visits, this would indicate a greater probability of more bad experiences.

3

3

Conclusion:

The calculated t value is in the tail so, we cannot accept the null at alpha 0.05.

4

5

There is statistically significant evidence at a 95% confidence level that the average of daily vists is less than the average of non-daily visits.

1

1

Since the P value is .02512 < .05 the null hypothesis is rejected

5

5

Stated planely, those who vist the facillity on a daily basis are less satisified than the combined group of people who do not visit daily.

2

1

3

4

H₀: (Daily₁) (Non-Daily₂) or stated: the mean of daily visits will be equal to or greater than the mean of non daily vists at alpha .05 showing an equal or greater satifactory visit.

3

5

4

3

1

1

3

1

H_a: (Daily₁) < (Non Daily₂) or stated: the mean of the daily visits is less than the mean of the non daily visits at alpha .05

2

1

3

1

2

5

3

2

3

5

3

2

t-Test: Two-Sample Assuming Equal Variances

1

1

2

1

Variable 1

Variable 2

4

3

Mean

2.96

3.432432

3

5

Variance

1.206667

0.585586

3

3

Observations

25

37

4

2

Pooled Variance

0.834018

4

3

Hypothesized Mean Difference

0

4

1

df

60

4

1

t Stat

-1.99815

4

1

P(T<=t) one-tail

0.02512

3

2

t Critical one-tail

1.670649

3

1

P(T<=t) two-tail

0.050239

2

3

t Critical two-tail

2.000298

3

1

3

5

4

1

4

1

3

1

2

2

3

2

4

3

5

5

4

1

4

2

5

2

3

2

3

5

3

1

3

5

4

5

3

3

4

2

2

1

3

1

2

1