US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter ing Univ. of TN students revealed an average score of 477. Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.
1 answer:
Answer:
The claim that the scores of UT students are less than the US average is wrong
Step-by-step explanation:
Given : Sample size = 64
Standard deviation = 112
Mean = 505
Average score = 477
To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.
Solution:
Sample size = 64
n > 30
So we will use z test
Formula :
Refer the z table for p value
p value = 0.9772
α=0.05
p value > α
So, we accept the null hypothesis
Hence The claim that the scores of UT students are less than the US average is wrong
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152.1 cm³
Step-by-step explanation:
Change in Volume = πr²(h₁-h₂)
Where r = 22 cm
h₁ = 10 cm
h₂ = 9.9 cm
ΔV = π x (22)²x (10-9.9)
= π x 484 x 0.1
= 152.11
≈ 152.1 cm³
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