Question Completion Status: 0.3385 QUESTION 12 1 pol Paul received a score of 80
ID: 2924803 • Letter: Q
Question
Question Completion Status: 0.3385 QUESTION 12 1 pol Paul received a score of 80 on a history test for which the class average was 75 with standard deviation 5 He received a score of 73 on a biology test for which the class averan On which test did he do better relative to the rest of the class? CA history test was 70 with standard deviation 2.5 CB. biology test Ccan't be determined none of the above 0.5 points QUESTION 13 The natural log of growth of yucca tree is approximately normally distributed with mean of 0.053 mm and standard deviation 0.03 mm. Calculate the z score associated with the growth 0.083 B. 1 0D.2 Click Save and Submit to save and submit. Click Save All Answers to save all answersExplanation / Answer
Ans:
12)For history
mean=75,standard deviation=5
z=(80-75)/5=5/5=1
P(z<=1)=0.8413
For Biology
mean=70,standard deviation=2.5
z=(73-70)/2.5=3/2.5=1.2
P(Z<=1.2)=0.8849
As,for biology,there are 88.49% students scoring less than 73 marks,as compared to 84.13% of students scoring less than 80 marks in history.
So percentile is higher for Biology.
Hence,he did better in biology.
Option B is correct.
13)
z=(0.083-0.053)/0.03=0.03/0.03=1
So,z score=1
Option B is correct.
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