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Sagot :
Answer:
H0 : μ = 38
H 1 : μ < 38
Test statistic = - 1.11
Pvalue = 0.13
We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.
Step-by-step explanation:
H0 : μ = 38
H 1 : μ < 38
The test statistic :
(xbar - μ) ÷ (s / sqrt (n))
(36.1 - 38) ÷ (10.8 / sqrt(40))
-1.9 ÷ 1.7076299
= - 1.113
= - 1.11 ( 2 decimal places)
α = 0.10
Using the value calculator :
P(Z < - 1.113) = 0.13285
Pvalue = 0.13285
Pvalue = 0.13 ( 2 decimal places)
Reject the Null if Pvalue < α
Since; 0.13285 > 0.01 ; We fail to reject the Null
We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.
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