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Sagot :
From given data we can conclude that there is no influence of age on how many hours a person spends doing/reading/answering emails in a week.
In this question, the given data has 2 categories of age and the number of hours per week someone spends on email.
Let H0(null hypothesis): age has any influence on how many hours a person spends doing/reading/answering emails in a week.
Ha = age has no influence on how many hours a person spends doing/reading/answering emails in a week.
36 and under over 36 x - y (x - y)²
28 0 28 784
4 2 2 4
2 0 2 4
25 1 24 576
15 5 10 200
3 2 1 1
15 4 11 121
20 8 12 144
10 5 5 25
1 10 -9 81
Total : 86 1940
Using the formula for t-score:
t = (∑D / N)/[√(∑D² - (∑D)²/N)/(N-1)N]
where
∑D = sum of differences
∑D² = sum of squared differences
(∑D)² = square of sum of differences
t = (86 / 10)/[√(1940 - 7396/10)/(10-1)10]
t = 8.6/√((1940 - 739.6)/90)
t = 8.6 /√(1200.4/90)
t = 8.6 /√13.34
t = 2.35
The p-value with degree of freedom = 9 and alpha-level = 0.05 is 0.021653
Since calculated value is greater than the p-value, we reject the null hypothesis.
Therefore, age has no influence on how many hours a person spends doing/reading/answering emails in a week.
Learn more about the t statistic here:
https://brainly.com/question/15236063
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