# 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 firmâ€™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