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OHomework4-Wilkenson Pierre-Google Chrome Wil Secure | https://ditemprod.pearsoncmg.com/api/v1/pnnt/math Instructor: Phi Gona 406 Assignment O omowok Print Student: Wilkenson Pierre Date: 03/13/18 Secion 4. For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x = 73.0 beats per minute, and their standard deviation is 12 5 beats per minute a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that the difference found in part (a)j? 0 co c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant? a. The difference is beats per minute e mea (Type an integer or a decimal Do not round ) b. The difference is Round to two decimal places as needed,) c, The z score isz» (Round to two decimal places as needed) standard deviations nificar d. The lowest pulse rate s (1) (1) O not significant O significantly low O significantly high Enter your answer in the answer box and then click Check Answer parts remaining

Explanation / Answer

a)

Mean pulse rate = 73 beats per minute

Ans : The difference = 73 - 38 = 35 beats per minute

b)

The standard deviation of the pulse rates = 12.5 beats per minute

Therefore, the number of standard deviations in the difference of PART a) = 35/12.5 = 2.8

Ans : The difference is 2.80 standard deviations.

c)

Z = (X - Mean) / SD

Z = 38 - 73 / 12.5

Z = -2.80

Ans : The z score is z = -2.80

d)

Since the lowest pulse rate of 38 beats per minute is 2.80 standard deviations away from the mean pulse rate of 73 beats per minute, it is a fact that for a Normal Distribution, only 2.5% of the data is less than (Mean - 2xSD) = (73 - 2x12.5) = 48 beats per minute, this value of 38 beats per minute is thus in the 2.5% range and hence, is significantly low.

Ans : B) Significantly low.

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