Answer:
B. Correct decision
Step-by-step explanation:
We know that the average math SAT score of students at the school has changed from the 1991 mean of 465. That is μ≠465.
This hypothesis was tested and the null hypothesis, that states that the average math SAT score of students at the school has not changed from the 1991 mean, was rejected.
Then, the conclusion of rejecting the null hypothesis is right, as μ=465 is false.
The probability of getting a total that is a factor of 21 is 0.22
<u>Explanation:</u>
Factor of 21 is = 1, 3, 7, 21
Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12
The possible combinations are:
(1,2) (1,6)
(2,1) (2,5)
(3,4)
(4,3)
(5,2)
(6,1)
Total outcome = 6 X 6
= 36
Number of outcomes that is the factor of 21 is 8
The probability of getting a total that is a factor of 21 is 
p(21) = 0.22
Therefore, the probability of getting a total that is a factor of 21 is 0.22
Answer:
The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
Step-by-step explanation:
Mean = 
Population standard deviation =
Sample size = n =25
Sample mean = 
We are supposed to find the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e.

Z=5.83
P(Z<52)=0.9999974

Hence the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
The least value is 1, the greatest value is 7, and the median is 2.
<h3>How to calculate the median?</h3>
From the information given, the number of dogs is 7, cats are 5, parrots are 2, hamsters are 2, fish is 1, pig is 2 while turtle is 0.
The median is the number in the middle when the numbers are arranged in ascending or descending order. The numbers will be 0, 1, 2, 2, 2, 5, 7. Therefore, the median is 2.
Also, by looking at the picture attached, the least value is 1, the greatest value is 7.
Learn more about median on:
brainly.com/question/26151333
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