The scores listed below are the amounts of time it took participants to fall asl

Question

The scores listed below are the amounts of time it took participants to fall asleep while reading their statistics textbook(listed in minutes).
M=10.7 Standard Deviation=10 Variance=100
To be able to compare these scores to data from another study that examined the same effect but measured time in seconds instead of minutes, the researcher decided to multiply every score from this sample by 60. Which of the following most closely represents the mean, standard deviation, and variance of these scores in seconds? Please explain the answer
A) M=642, SD=600, variance =360.000 B)M=64.2, SD=600, variance =6000 C) M=70.7, SD= 70, variance =160 D) M= 10.7, SD= 10, variance = 100
The scores listed below are the amounts of time it took participants to fall asleep while reading their statistics textbook(listed in minutes).
M=10.7 Standard Deviation=10 Variance=100
To be able to compare these scores to data from another study that examined the same effect but measured time in seconds instead of minutes, the researcher decided to multiply every score from this sample by 60. Which of the following most closely represents the mean, standard deviation, and variance of these scores in seconds? Please explain the answer
A) M=642, SD=600, variance =360.000 B)M=64.2, SD=600, variance =6000 C) M=70.7, SD= 70, variance =160 D) M= 10.7, SD= 10, variance = 100

M=10.7 Standard Deviation=10 Variance=100
To be able to compare these scores to data from another study that examined the same effect but measured time in seconds instead of minutes, the researcher decided to multiply every score from this sample by 60. Which of the following most closely represents the mean, standard deviation, and variance of these scores in seconds? Please explain the answer
A) M=642, SD=600, variance =360.000 B)M=64.2, SD=600, variance =6000 C) M=70.7, SD= 70, variance =160 D) M= 10.7, SD= 10, variance = 100

Explanation / Answer

Option A

M=642, SD=600, variance =360.000

Reasoning:

Mean = avg so multiply by 60 => 10.7mins = 10 mins 42 sec = 600+42 = 642 sec

Variance = sum(Mean-Xi)^2 / n

Here we are taking square of time thus 60^2 = 3600

Thus Variance of 100 in mins => 100*3600= 360000 in sec

Std Deviation= sqrt(variance) = sqrt(360000) = 600

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