You will be asked to perform various hypothesis tests and calculate the accompan

Question

You will be asked to perform various hypothesis tests and calculate the accompanying confidence intervals. For one sample questions, please use your “population mean” pulse rate for college students from Part I. On all questions, please use a 95% confidence level. Remember the first step in hypothesis testing is to state the null and alternative hypothesis. Along with your calculations, make sure you interpret your results.

I also have the data from another university class, where n= 67. Their average beats/minute was 81, with a standard deviation of 6.02. Use hypothesis testing to determine if there a difference between these two samples? Calculate, also, the confidence interval.

Did you use z-scores or t-scores for your calculations? Why? And would the results have changed had you used the other?

Explanation / Answer

We have not been provided with the mean and standard deviation of the 1st university class. So, we can't do the hypothesis testing on the difference between the samples.

Also, as we are dealing with the samples, we will calculate sample standard deviation from it ajd no the population standard deviation. Hence, we would have to use the t distribution and.not the z distribution.

Yes the results would have changed if we had used the z distribution. The t distribution is lesser skewed than the z distribution and is a good distribution for overcoming the biasness caused by using sample standard deviation instead oglf population standard deviation.

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