PLEASE COMPLETE CORRECTLY PLEASE 1.Here are 15 hypothetical measurements represe

Question

PLEASE COMPLETE CORRECTLY PLEASE

1.Here are 15 hypothetical measurements representing a SRS from a population of 75.

12,12,13,13,20,14,15,18,10,11,10,15,13,16,18

Is it reasonable to think that the sample came from a population with ? (7 points)

2.Here are 15 hypothetical measurements representing a population of 75.

12,12,13,13,20,14,15,18,10,11,10,15,13,16,18

Is it reasonable to think that the sample came from a population with = 15.7? (7 points)

3.Here are 40 hypothetical measurements representing a SRS from a population of 75.

12,12,5,13,20,14,15,3,10,11,4,15,13,16,18,5,18,22,6,23,31,33,34,29,5,18,29,19,6,22,27,28,26,17, 20,21,23,22,28,30

Is it reasonable to think that the sample came from a population with m = 19.1? (7 points)

Explanation / Answer

1.

Average of 14
Stdev of 3

The critical t value for conclusing the sample came from a certain population
is based on df = 15-1 = 14 and 2 tailed .05 value, which is 2.145 in our case.

Test statistic t = (14-15)/(3/sqrt(15)) = -1.29
Since test statistic is -2.145>-1.29> 2.145, its is non rejection region
Hence, this sample came from population

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