Question

In: Statistics and Probability

2.2. Indicate which test (paired samples (ie dependent) t-test, independent two samples t-test, one-sample t-test, independent...

2.2. Indicate which test (paired samples (ie dependent) t-test, independent two samples t-test, one-sample t-test, independent samples z-test) is most appropriate for the following situations :

A. Comparison of weight gain of two groups of 18 cows where one group was raised following standard practices and the other group was raised following “organic” standards.

B. Comparison of scores on a fitness test of Olympic-class distance runners (n=20) with the national average score of people of a similar age range (22-31 years).

C. Comparison of speed of texting on a smart phone of 20 teenaged students compared to one of their parents.

D. Comparison of speed at texting of 24 Trent students using the hand they write with versus their other hand.

E. Comparison of body weights of 50 Trent students who identified themselves in a survey as “normally athletic”. Weights were recorded just before and three months into the Covid-19 lockdown

Solutions

Expert Solution

A. Comparison of weight gain of two groups of 18 cows where one group was raised following standard practices and the other group was raised following “organic” standards.- Independent two sample t-test.

   (As both the samples of cow are independent as both of them are on different diets)

B. Comparison of scores on a fitness test of Olympic-class distance runners (n=20) with the national average score of people of a similar age range (22-31 years) - One sample t test

( As the score on a fitness level of one sample is compared to the average nation score)

C. Comparison of speed of texting on a smart phone of 20 teenaged students compared to one of their parents.- Paired Sample t test

( As both the samples are dependent on each other)

D. Comparison of speed at texting of 24 Trent students using the hand they write with versus their other hand.- Paired Sample t test

( As bothe the samples are dependent on each other)

E. Comparison of body weights of 50 Trent students who identified themselves in a survey as “normally athletic”. Weights were recorded just before and three months into the Covid-19 lockdown- Paired Sample t test

( As bothe the samples are dependent on each other, as we taking the measurement before and after the lockdown)


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