z table values and probability 5 questions – www.savvyessaywriters.net
z table values and probability 5 questions – www.savvyessaywriters.net
See attached z table and word doc with questions.
1. Using the Z table, find each of the following:
1.(a) P(0 ≤ z ≤ 1.35)
1.(b) P(z > 1.35)
1.(c) P(– 1.35 ≤ z ≤ 1.35)
1.(d) P(z ≤ 1.35)
Answer:
2. Using the Z table, find approximate values of Zα for each of the following values of α
2.(a) α = 0.04
Answer:
2.(b) α = 0.14
Answer:
3. Suppose X, the amount of money a student at a university spent on books in 2017, was normally distributed with mean $500 and standard deviation $200 (that is, µ = 500 and σ = 200). Compute the probability that a randomly selected student at this university spent between $480 and $520 on books in 2017 (that is, compute P(480 ≤ X ≤ 520)). (Show work)
Answer:
4. Suppose X, the amount of money a student at a university spent on books in 2017, was normally distributed with mean $500 and standard deviation $200 (that is, µ = 500 and σ = 200). You have selected a simple random sample of size 100 from the student population at this university. Compute the probability that the average amount of money spent by this sample of students on books in 2017 is between $480 and $520 (that is, compute P(480 ≤ X bar ≤ 520)). (Show work)
Answer:
5. Suppose 40% of the students at a university own Apple iPhones. that is, π = 0.40. You have drawn a simple random sample of size 600 from this population. Let p denote the proportion of the sample that own Apple iPhones. Compute the probability that for your sample of 600 students, p is between .375 and .425 (that is, compute P(.375 ≤ p ≤ .425)). (Show work)
Answer:
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