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maths problems - The probability distribution shown here describes a population

Question # 00011132
Subject: Mathematics
Due on: 04/12/2014
Posted On: 03/28/2014 08:44 PM

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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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2. Suppose a random sample of n=25 measurements is selected from a population with a mean ? and standard deviation ?. For each of the following values of ? and ? give the values of ux- and ?x-
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. .justanswer.com/math-homework/8cshj-1-the-probability-distribution-shown-describes-population.html#">ux-= __ ?-x = ____ (type an integer or a decimal)
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3. A random sample of n=100 observations is selected from a population with ? =29 and ?=22. Approximate the probabilities shown below.
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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4. Researchers conducted a study of variety in exercise workouts. A sample of 120 men and women were randomly divided into three groups with 40 people per group. Group 1 members varied their exercise routine in workouts group 2 members performed the same exercise at each workout and group 3 members had no set schedule or regulations for their workouts.
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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6. Suppose you want to estimate a population proportion, p, and p^=0.33 and N=5,700, and n=1,900. Find an approximate 95% confidence interval for p.
An appropriate 95% confidence interval for p is __ + ___
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7. In order to evaluate the reasonableness of firm’s stated total value of its parts inventory, as auditor randomly samples 50 of the total 600 parts in stock, process each part, and reports the results shown in the table. Use this information to answer the following question

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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Tutorial Preview …?x-a xxxx ?=4;b xxxxx ?=25;c u=22 xxxxxx u=11 ?=120a xxxx __ xxx x ____ xxxxx an integer xx a decimal)b xxxx __ xxx x ____ xxxxx an integer xx a decimal)c xxxx __ xxx x ____ xxxxx an integer xx a decimal)d xxxx __ xxx x ____ xxxxx an integer xx a decimal) x b x x ?3 x random sample xx n=100 observations xx selected xxxx x population xxxx ? =29 xxx ?=22 Approximate xxx probabilities xxxxx xxxxx Round xx three decimal xxxxxxx P(x ? xxx = x xxxx P(22 x ? x x 26 8) x 0 xxxx xxx ? xx 2) = x 358d P(x x 27 xx x 0 xxxx Researchers conducted x study of xxxxxxx in xxxxxxxx xxxxxxxx A xxxxxx of 120 xxx and women xxxx randomly xxxxxxx xxxx three xxxxxx with 40 xxxxxx per group xxxxx 1 xxxxxxx xxxxxx their xxxxxxxx routine in xxxxxxxx group 2 xxxxxxx…
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Preview: decimal)a x c x 3 A xxxxxx sample of xxxxx observations xx xxxxxxxx from x population with x =29 and xxxx Approximate xxx xxxxxxxxxxxxx shown xxxxx Round to xxxxx decimal placesa xxx ? xxx x 0 xxxx P(22 1 x x ? xx 8) x x 158c xxx ? 28 xx = 0 xxxx P(x x xx 0) x 0 8184 xxxxxxxxxxx conducted a xxxxx of xxxxxxx xx exercise xxxxxxxx A sample xx 120 men xxx women xxxx xxxxxxxx divided xxxx three groups xxxx 40 people xxx group xxxxx x members xxxxxx their exercise xxxxxxx in workouts xxxxx 2 xxxxxxx xxxxxxxxx the xxxx exercise at xxxx workout and xxxxx 3 xxxxxxx xxx no xxx schedule or xxxxxxxxxxx for their xxxxxxxx A xx xxx end xx the study, xx people had xxxxxxx out xx xxx first xxxxxxxx group Estimate xxx dropout rate xxx exercises xxx xxxx their.....
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