Question

In an advertisement, a pizza shop claims that its mean delivery time is less than 15...

In an advertisement, a pizza shop claims that its mean delivery time is less than 15 minutes.  A random selection of 16 delivery times has a sample mean of 14 minutes. It is known that the population is a normal distribution with standard deviation of delivery time is 2 minutes. Perform hypothesis test on the claim at α = 0.05.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

α = 0.05

= 14

= 2

n = 16

Hypothesis:

H0 :   15

Ha :   15

Test Statistic:

   Z = ( - ) / ( /n)

   Z = (14 -15) / ( 2/ 16)

  Z = -2

The test statistic is -2

Reject H0 if P-value     = 0.05

P-value = 0.0228

Reject H0, its mean delivery time is less than 15 minutes

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