Question

1. In a advertisement, a pizza shop claims that its mean delivery time is less than 20 minutes. of

   A random selection 50 delivery times has a sample mean of 22 minutes and a standard deviation

   of 2.1 minutes. Is there enough evidence to support the claim at = 0.005.

   Find:

2. Question 5

   The null hypothesis ( H₀)

   1. 22 min

   2. 22 min

   3. 20 min

   4. 20 min

• Question 6

  The alternative hypothesis ( H₀)

  1. 22 min

  2. 20 min

  3. 22 min

  4. 20 min

• Question 7

  The critical value ( t_C )

• Question 8

  The test statistic ( t_TEST

• Question 9

  Your conclusion about the null hypothesis

  1. Fail to reject ( )

  2. Reject ( )

• Question 10

  Your conclusion about the manufacturer's claim.

  1. At 0.5% level of significance, There is not enough evidence to conclude that the mean delivery time is less than 20 minutes.

  2. At 5% level of significance, there is enough evidence to conclude that the mean delivery time is less than 20 minutes.

  3. At 0.5% level of significance, there is not enough evidence to conclude that the mean delivery time is more than 20 minutes.

  4. At 05% level of significance, there is enough evidence to conclude that the mean delivery time is more than 20 minutes.

Answer 1

given data are:-

sample size(n) = 50

sample mean() = 22

sample standard deviation(s) = 2.1

5).The null hypothesis:-

6).The alternative hypothesis:-

7). df = (n-1) = (50-1) = 49

The critical value :-

[ using t distribution table, for f = 49,alpha= 0.005 , left tailed test]

8).test statistic be:-

9).conclusion:-

so, we fail to reject the null hypothesis.

10).conclusion about the manufacturer's claim is :-

At 0.5% level of significance, There is not enough evidence to conclude that the mean delivery time is less than 20 minute

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