Asanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. in a random sample of 36 bins, the sample mean amount was 48.47 pounds and the sample standard deviation was 3.1 pounds. conduct the appropriate hypothesis test using a 0.05 level of significance.\

Answer with explanation:

Given : Sample mean =

Standard deviation :

Sample size : n = 36

Claim :

∴

Since the alternative hypothesis is two tail , then the test is two tail test.

By using a z statistic and a 0.05 level of significance. Reject   if z < -1.960 or is z> 1.960.

Then , the test static for population mean is given by :-

We reject since . We have statistically significant evidence at to show that the mean amount of garbage per bin is not different from 50.  

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