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.  

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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