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In the following observational studies, describe changes that could be made to the data collection process that would result in an experiment rather than an observation study. Also, offer suggestions about unseen biases or lurking variables that my be present in the studies as they are describe here.
a. In a sample of 50 members of a local health club you find that 12 of these members meet weekly with a physical fitness trainer and that the average body mass index (BMI) of these 12 members is less than the average BMI of the other 38 club members in your sample.
b. In a sample of 12 bank tellers at a local branch office, the 7 tellers who have completed the advanced training program offered by the bank have a lower average error rate in the processing of transactions than the remaining 5 tellers.
Public transportation and the automobile are two methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
A coin was flipped 60 times and came up heads 36 times. Determine the critical value you would use to test whether proportion of heads is greater than 0.50 at 10% level of significance?
In order to compare the means of two populations, independent random samples of 484 observations are selected from each population, with the following results:
What is the appropriate inferential statistical test for the case scenario? Why?
In a mobile phone shop on a Sunday morning, out of n = 77 customers x = 19 buy a mobile phone. What is the 95% confidence interval for the proportion of customers buying a mobile phone?
Testing for population mean - How would this information be useful to you if you were the college register?
Testing equality of variances - evidence of a difference in the variability of monthly talking time on cell phones for men and women?
Why is it misleading to draw the conclusion from the test above that long-time exposure to cadmium reduces the vital capacity?
How variable is the number of service calls with which Sam's department must deal?
Use the population standard deviation along with the sample mean, S, and find a 92% confidence interval for the population mean. Is the true population mean contained in this interval?
The average could be a poor estimate of the spending of all teenagers given that only teenagers in malls were sampled.
If we select one box of cereal at random from this population, what is the probability that it will weigh less than 915 grams?
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