1.The probability distribution shown here describes a population
1.The probability distribution shown here describes a population of measurements that can assume values of 4, 5, 6, and 7, each of which occurs with the same relative frequency.
x p(x)
4 0.25
5 0.25
6 0.25
7 0.25
a. Calculate the mean of all the different samples of n=2 measurements that can be selected from this population. Select the correct choice below.
A. Sample 4.4/ 4.5/ 4.6 /4.7/ 5.5/ 5.6/ 5.7/ 6.6/ 6.7/ 7.7
X ___ ___ ___ ___ ___ ___ ___ ___ ____ ____
Sample 4.4/ 4.5/ 4.6 /4.7/ 5.4/ 5.5/ 5.6/ 5.7
X ___ ___ ___ ___ ___ ___ ___ ___
B. Sample 6.4 / 6.5/ 6.6/ 6.7/ 7.4 / 7.5 / 7.6 / 7.7 /
X ___ ___ ___ ___ ___ ___ ___ ____
C. Sample 4.5/ 4.6 /4.7/ 5.4/ 5.6/ 5.7/ 6.4/ 6.5/ 6.7/ 7.4 / 7.5/ 7.6
X ___ ___ ___ ___ ___ ___ ___ ___ ___ __ ___ ___
b. If a sample of n=2 measurements is randomly selected from the population, what is the probability that a specific sample will be selected?____ (Type exact number in the simplest form)
c. Complete the sampling distribution table.
x
Probability
Type exact numbers in the simplest form
d. Construct a probability histogram for the sampling distribution of x.
Does it look like the this histogram?
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a. u=11 ?=4;
b. u=121 ?=25;
c. u=22 ?=30;
d. u=11 ?=120
a.ux-= __ ?-x = ____ (type an integer or a decimal)
b.ux-= __ ?-x = ____ (type an integer or a decimal)
c.ux-= __ ?-x = ____ (type an integer or a decimal)
d. ux-= __ ?-x = ____ (type an integer or a decimal)
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Round to three decimal places
a.P(x ? 28) =
b. P(22.1 ? x ? 26.8) =
c. P(x ? 28.2) =
d. P(x ? 27.0) =
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A. By the end pf the study, 18 people had dropped out of the first exercise group. Estimate the dropout rate for exercises who vary their routine in workouts. Use 955 confidense interval
The 95% confidence interval is ___ ___
5. A random sample of size n= 20 was drawn from a population of size N = 200. The measurements shown were obtained
38
27
44
26
50
19
24
48
48
42
37
48
18
39
39
23
25
40
54
50
a. Estimate u with an approximate 95% confidence interval
b. Estimate p the proportion of measurements in the population that are greater than 30 with an approximate 95% confidence interval
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An appropriate 95% confidence interval for p is __ + ___
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Part Price Sample Size
$61 8
$92 3
$63 10
$98 8
$65 5
$105 6
$104 3
$14 7
a. Give a point estimate of the mean of the value of the parts inventory. $___ (round to the nearest cent as needed).
b. Find the estimate standard error of the point estimate of part a.
$___ (round to the nearest cent as needed)
c. Find the limit
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