Consider the following situation. The average number of pens in households in Ci

Question

Consider the following situation. The average number of pens in households in Citation has historically been 20.5 with a population standard deviation of 3. A randomly selected sample of 56 households in Citation has an average of 19.6 pens. At (alpha = 0.01), is there enough evidence to conclude that the mean number of pens is now not equal to 20.5? The two-tailed critical values are -2.58 and 2.58. The test statistic is -2.24. Can we conclude that the mean number of pens is now not equal to 20.5? Yes No

Explanation / Answer

Answer:

Rejection Region: Reject Ho if calculated t < -2.58 or t> 2.58.

Test statistic t=-2.24 not falls in the rejection region.

Ho is not rejected.

No. there is not enough evidence to conclude that the mean number of pens is now not equal to 20.5.

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