Question

Asked Sep 22, 2019

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#16 The amount of time it takes to recover physiologically from a certain kind of sudden noise is found to be normally distributed with a mean of 80 seconds and a standard deviation of 10 seconds. using the 50%-34%-14% figures, approximately what percentage of scores (on time to recover) will be (a) above 100, (b)below 100, (c) above 90,(d) below 90, (e) above 80, (f) below 80, (g) above 70, (h) below 70, (i) above 60, and (j) below 60 -using the information in problem 16 and the 50%-34%-14% figures, what is the longest time to recover a person can take and still be in the bottom (a)2% (b)16% (c)50% (d) 84% and e(98%

Step 1

Hey, since there are multiple questions with subparts posted, we will answer first question with subparts. If you want any specific question to be answered, then please submit that question only or specify the subpart number in your message.

**The 50-34-14% Rule:**

For a normal distribution, the empirical rule (50-34-14% Rule) state that 50% of the observations falls above the mean value, 34% of the observations falls in between the mean value and 1 standard deviation above the mean, 13.5% of the observations falls in between 1 and 2 standard deviations above the mean, and 2.5% of the observations falls above 2 standard deviations of mean respectively.

Step 2

**(a).**

The value of 100 is 2 standard deviations above the mean value. Therefore, approximately 2.5% of scores will be above 100.

**(b).**

From the above result (a), approximately 97.5% (100–2.5) of scores will be below 100.

Step 3

**(c).**

The value of 90 is 1 standard deviation above the mean value. Therefore, approximately 16% (13.5+2.5) of scores will be above 90.

**(d)...**

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