z Scores. In Exercises 5–8, express all z scores with two deci...

Question

z Scores. In Exercises 5–8, express all z scores with two decimal places.

Diastolic Blood Pressure of Females For the diastolic blood pressure measurements of females listed in Data Set 1 “Body Data” in Appendix B, the highest measurement is 98 mm Hg. The 147 diastolic blood pressure measurements of females have a mean of 70.2 mm Hg and a standard deviation of 11.2 mm Hg.

a. What is the difference between the highest diastolic blood pressure and the mean of the diastolic blood pressures for females?

Accepted Answer

Hello there. Today we're going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. For the resting heart rates and units of beats per minute of adults, the highest recorded measurement is 95 beats per minute. The 200 recorded resting heart rates have a mean of 72.4 beats per minute and a standard deviation of 10.5 beats per minute. What is the difference between the highest recorded resting heart rate and the mean resting heart rate of adults? Awesome. So it appears for this particular problem we're ultimately trying to solve for our end goal is we're trying to determine what is the difference between the highest recorded resting heart rate value and the mean resting heart rate value. Of adults based on the information that is provided to us by this particular problem. So with that said, now that we know what we're trying to solve for, let's read off our multiple choice answers to see what our final answer might be, noting that once again they're all in the same units of beats per minute. So A is 20.4, B is 21.8, C is 22.6, and D is 23.2. Awesome. So, first off, what we need to do in order to solve this problem is we need to write down all of our known variables. These are the variables that are given to us by the prom itself. So let us note that we are told that the highest recorded resting heart rate, which we'll call this value X, is equal to 95 beats per minute. We're also told the mean resting heart rate, which we're called this value mu, and mu is equal to 72.4 beats per minute. We're also told the standard deviation value which we're gonna denote as sigma, and sigma is equal to 10.5 beats per minute. Fantastic. So now, our second and final step is we need to compute the difference, so we need to solve the difference. So the difference, which we'll just call D, the difference D is equal to X minus u, which is equal to 95 minus 72.4. And when we perform that calculation, we will find that the difference D, which is the value we're ultimately trying to solve for, is going to be equal to 22.6 beats per minute, and that is our final answer. Hooray, we did it. So therefore, without a doubt, our final answer has to be multiple choice answer letter C, which once again is 22.6 beats per minute. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

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Key Concepts

Z Scores

Mean

Standard Deviation

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