For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 32 beats per​ minute, the mean of the listed pulse rates is x overbarequals74.0 beats per​ minute, and their standard deviation is sequals14.8 beats per minute. a. What is the difference between the pulse rate of 32 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 32 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 32 beats per minute​ significant?

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Answer:

The lowest pulse rate is 32 beats per​ minute

[tex]\bar {x}=74[/tex]

s= 14.8

a) What is the difference between the pulse rate of 32 beats per minute and the mean pulse rate of the​ females?

= 74- 32

= 42

b) How many standard deviations is that​ [the difference found in part​ (a)]

[tex]= \frac{difference }{s} = \frac{42}{14.8}=2.8378[/tex]

c) Convert the pulse rate of 32 beats per minutes to a z score.

[tex]z=\frac{32-74}{14.8}\\z=-3.07[/tex]

d) If we consider pulse rates that convert to z scores between minus2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 32 beats per minute​ significant?

Since z = - 3.07

Hence pulse rate is significantly low

The difference between the pulse rate of 32 beats per minute and the mean pulse rate of the​ females 42.

Standard deviations is that​ [the difference found in part​ (a), is 2.83.

The pulse rate of 32 beats per minutes to a z score is -3.07.

Given that,

Sample of adult​ females, the lowest pulse rate is 32 beats per​ minute,

The mean of the listed pulse rates is x over bar equals74.0 beats per​ minute,

and their standard deviation is equal 14.8 beats per minute.

According to the question,

  • The difference between the pulse rate of 32 beats per minute and the mean pulse rate of the​ females = 74 - 32 = 42.

  • Standard deviations is that​ [the difference found in part​ (a),

       Difference ÷ S = [tex]\frac{42}{14.8} = 2.837[/tex].

  •  The pulse rate of 32 beats per minutes to a z score,

          [tex]z = \frac{32-74}{14.8} = -3.07[/tex]

If consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 32 beats per minute​ significant since z = - 3.07.

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https://brainly.com/question/13360071