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amyeaglin2003
18.11.2020 •
Mathematics
The scores on two standardized tests are normally distributed. The first test had a mean of 58 and a standard deviation of 6. The second test had a mean of 78 and a standard deviation of 5. What score would you need on the second test to equal a score of 66 on the first test? Give answer to the nearest whole number.
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Ответ:
84.67
Step-by-step explanation:
Given that :
First test:
Mean (m) = 58
Standard deviation (s) = 6
A score of 66 on the first test :
Z score (standardized score) :
Z = (66 - 58) / 6
Zscore = 1.3333
Second test:
Mean (m) = 78
Standard deviation (s) = 5
Using the Zscore pertaining to 66 in the first test :
Z = (x - m) / s
1.3333 = (x - 78) / 5
1.3333 * 5 = x - 78
6.66667 = x - 78
x = 6.6667 + 78
x = 84.67
Ответ:
Ming has to play for 15 hours to earn 500 points.
Step-by-step explanation:
1. Make an equation: 200 + 20h = 500 pts
2. 500 - 200 = 300
3. 300 / 20 = 15
h = 15 hours