Question

Using the following table answer the questions:

NATIONALITY	ADULTS	CHILDREN	TOT_SPEND	DAYS
BRITISH	2	3	876	16
BRITISH	2	2	275	4
BRITISH	2	2	302	5
BRITISH	1	3	423	11
BRITISH	2	2	659	7
BRITISH	2	1	358	10
FRENCH	2	1	800	13
FRENCH	2	2	923	14
FRENCH	3	0	357	12
FRENCH	1	3	271	5
FRENCH	1	2	444	9
FRENCH	2	3	415	6
FRENCH	2	2	1245	15
GERMAN	2	2	960	11
GERMAN	1	3	642	10
GERMAN	1	3	1531	15
GERMAN	3	0	885	15
GERMAN	2	2	1420	13
GERMAN	2	3	1834	14
GERMAN	3	0	597	9
ITALIAN	2	3	436	5
ITALIAN	2	1	594	11
ITALIAN	2	1	292	4
ITALIAN	2	2	650	8
ITALIAN	2	2	349	3
ITALIAN	2	2	453	2
ITALIAN	2	3	609	6

Is mean spending per day per person affected by Nationality?

i. Select the appropriate test of hypothesis and state the null and alternative hypothesis

ii. Test the null hypothesis at 95% confidence level and state your conclusions.

Answer 1

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃ = µ₄

H_a: At least one means is not equal

The output is:

	Mean	n	Std. Dev
	482.2	6	236.93	BRITISH
	636.4	7	359.84	FRENCH
	1,124.1	7	474.59	GERMAN
	483.3	7	137.62	ITALIAN
	688.9	27	412.33	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	18,97,699.83	3	6,32,566.611	5.77	.0043
Error	25,22,652.83	23	1,09,680.558
Total	44,20,352.67	26

The p-value from the output is 0.0043.

Since the p-value (0.0043) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the mean spending per day per person is affected by Nationality.