For a t distribution with degrees of freedom, find the area, or probability, in each region. a. To the right of (to 3 decimals)
b. To the left of (to 2 decimals) c. To the left of (to 2 decimals) d. To the right of (to 2 decimals) e. Between and (to 2 decimals) f. Between and (to 2 decimals)
1 answer:
Answer:
a) P(t>2.120) = 0.025
b) P(t<1.337) = 0.90
c) P(t<-1.746) = 0.05
d) P(t>2.583) = 0.01
e) P(-2.120<t<2.120) = 0.95
f) P(-1.746<t<1.746) = 0.90
Step-by-step explanation:
The question is incomplete:
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.120. (Use 3 decimals.)
b. To the left of 1.337. (Use 2 decimals.)
c. To the left of -1.746. (Use 2 decimals.)
d. To the right of 2.583. (Use 2 decimals.)
e. Between -2.120 and 2.120. (Use 2 decimals.)
f. Between -1.746 and 1.746. (Use 2 decimals.)
We have a t-distribution with 16 degrees of freedom.
We can calculate the probabilities with a spreadsheet, a table or an applet.
We have to calculate the probabilities of:
a) P(t>2.120) = 0.025
b) P(t<1.337) = 0.90
c) P(t<-1.746) = 0.05
d) P(t>2.583) = 0.01
e) P(-2.120<t<2.120) = 0.95
f) P(-1.746<t<1.746) = 0.90
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a) The mean number is 745 and the standard deviation is 25.18.
b) 896 deaths is a significantly high number, which means that there is cause for concern.
Step-by-step explanation:
For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
A value X is significantly high is:
In this problem:
a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.
The mean number is 745 and the standard deviation is 25.18.
b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?
Is 896 a significantly high number?
895 > 795.36
896 deaths is a significantly high number, which means that there is cause for concern.
Answer:
Slope EQUALS:
Step-by-step explanation:
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