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A study assessed the effects of playing a computer game (solitaire) during lunch on behavioral and physiological variables. A sample of 44 healthy adults was randomly assigned to eat lunch either with the computer game distraction or without distraction. The food served for lunch was exactly the same for everyone. All participants also had the same breakfast. Thirty minutes after lunch, participants were offered cookies as a snack and were instructed to eat as many or as few cookies as they liked. Here are the summary statistics for the findings:25
Group n X Distraction 22 52.1 45.1 No distraction 22 27.1 26.4
(a) Do the findings support the hypothesis of greater snack the two-sample t statistic and P-value, and conclude
(b) Can you conclude that distraction during meals causes intake after meals taken with a distraction? State hypotheses in terms of the two population means, obtain using a significance level of 0.05 the greater snack intake? Explain your reasoning.

Sagot :

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Answer:

H0 : μD = μN

H0 : μD > μN

Test statistic = 2.192

Pvalue = 0.017

there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.

Step-by-step explanation:

Given the data:

n1 = 22 ; x1 = 52.1 ; s1 = 45.1

n2 = 22 ; x2 = 27.1 ; s2 = 26.4

H0 : μD = μN

H0 : μD > μN

The test statistic :

(x1 - x2) ÷ (Sp*√(1/n1 + 1/n2))

Sp = (n1 - 1)s1² + (n2 - 1)s2²] ÷ (n1 + n2 - 2)

Sp = √[((21 * 45.1^2) + (21 * 26.4^2)) ÷ 42]

Sp = 36.952469

Test statistic :

(52.1 - 27.1) ÷ Sp * √(1/21 + 1/21))

25 ÷ (36.952469 * 0.3086066)

25 ÷ 11.4037758196954

Test statistic = 2.192

Using the Pvalue from Test statistic calculator :df = 42, Tscore = 2.192

Pvalue = 0.017

α = 0.05

Pvalue < α

Hence, there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.

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