Question

In spring 2017, data was collected from a random selection of sta 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours. For the 39 randomly selected upperclassmen, the sample mean was 0. 76 and sample standard deviation was 0. 75. For the 35 randomly selected underclassmen, the sample mean was 0. 60 and the sample standard deviation was 0. 73. What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?.

Answer 1

Comparing underclassmen and upperclassmen, the population means differ by 0.16 points.

Given;

Approximately 2023 students were sampled haphazardly from the spring of 2017.

The length of time they had worked out in the previous 24 hours was one of the questions. For the 39 upperclassmen chosen at random, the sample mean and sample standard deviation were 0.76 and 0.75, respectively.

According to the results of the random sample of 35 underclassmen, the sample means and standard deviation were 0.60 and 0.73, respectively.

The point estimate of the difference in the population means exercised between underclassmen and upperclassmen;

= Sample mean for upperclassmen - Sample mean for underclassmen

= 0.76 - 0.60

= 0.16

As a result, the point estimate of the difference between underclassmen and upperclassmen is 0.16.

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