5. Again following on from the previous question, suppose it is known tha when we take a random sample of n = 61 STM1001 students, the probability that the sample mean is less than some number is 0.6. What must be?

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2. Suppose it is claimed that amongst the population of STM1001
students, the number of items bought online in the past year is normally
distributed with a mean of μ = 20 and variance of o² = 25. Further
suppose that we wish to study the mean of the population by taking a
random sample of n = 61 STM 1001 students. Using this information,
write down the distribution of the sample mean, X. Note: In each box,
enter a single number rounded to four decimal places where relevant. (2
marks) X~ N( 20
0.4098
2
2
vious question what is t
thes
-
5. Again following on from the previous question, suppose it is known tha
when we take a random sample of n 61 STM1001 students, the
probability that the sample mean is less than some number x is 0.6.
What must be?
Transcribed Image Text:2. Suppose it is claimed that amongst the population of STM1001 students, the number of items bought online in the past year is normally distributed with a mean of μ = 20 and variance of o² = 25. Further suppose that we wish to study the mean of the population by taking a random sample of n = 61 STM 1001 students. Using this information, write down the distribution of the sample mean, X. Note: In each box, enter a single number rounded to four decimal places where relevant. (2 marks) X~ N( 20 0.4098 2 2 vious question what is t thes - 5. Again following on from the previous question, suppose it is known tha when we take a random sample of n 61 STM1001 students, the probability that the sample mean is less than some number x is 0.6. What must be?
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