2. Suppose it is claimed that amongst the population of STM1001students, the number of items bought online in the past year is normallydistributed with a mean of μ = 20 and variance of o² = 25. Furthersuppose that we wish to study the mean of the population by taking arandom 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. (2marks) X~ N( 200.409822vious question what is tthes-5. Again following on from the previous question, suppose it is known thawhen we take a random sample of n 61 STM1001 students, theprobability that the sample mean is less than some number x is 0.6.What must be?

5) Given that, μ=20,σ2=25σ=σ2 =25 =5n=61 Consider that the sample mean is less than some number…

Answered: 5. Again following on from the previous…

A First Course in Probability (10th Edition)

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. State the null and alternate hypotheses. H0: p = 0 .7; H1: p < 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 H0: p = 0.7; H1: p > 0.7 What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5. The Student's…
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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?