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In a sample of n = 44 observations, the sum of x is 2222 and the sum of x is 148642. 1 .The sample standard

In a sample of n = 44 observations, the sum of x is 2222 and the sum of x is 148642.

1 .The sample standard deviation is,

20.300

29.107

26.727

21.368

2. Suppose one of the observations in the data set is x = 95. This data point deviates from the mean by ______ standard deviations.

1.18

1.53

0.98

1.02

The weekly salary of sales staff of a department store are shown below. "f" is the frequency or the number of staff members earning the stated salary (x).

Salary

Frequency

x

f

$680

12

$760

24

$960

14

$1,090

4

$833.20

$818.52

$816.54

$885.48

In the binary data below "1" is assigned to students who are business majors in a statistics class and "0" is for all other majors.

1

0

1

0

1

1

0

1

0

1

0

1

0

0

1

1

1

1

1

1

What proportion of students who are business majors?

65%

67%

35%

23%

The mean and standard deviation of z-scores in a data set are:

0, 0

1, 0

0, 1

1, 1

The following table shows the probability distribution of the number of days (x) to complete a construction project by a contractor.

x

f(x)

1

0.10

2

0.25

3

0.30

4

5

0.09

6

0.06

The probability that it will take at least 2 days to finish the project is:

0.82

0.90

0.76

0.54

The standard deviation of the days to finish the project is:

1.380

1.386

1.318

1.195

The expected number of days to complete a project is 3 days, E(x) = 3, with a variance of 1.7, var(x) = 1.7. The project cost is made up of a fixed cost of $53,000, plus $7,400 for each day taken to complete the project.

The expected value of the project cost is:

$78,900

$75,200

$80,260

$82,475

The standard deviation of project cost is:

$113

$256

$9,648

$9,705

If you toss a balanced coin 5 times, the probability of getting 4 tails is:

0.09

0.80

0.16

0.20

Given that z is astandard normal random variable, compute P(0.85 < z < 1.43)

0.8787

0.1009

0.1213

0.1339

Given that z is a standard normal random variable.

The area between 0 and z* is 0.1950 that is P(0 < z < z*) = 0.1950, find z*=?

0.51

0.86

0.51

0.86

Weight of newborn babies in the United States is normally distributed, with a standard deviation of 510 grams. The fraction of newborn babies who weigh less than 2200 grams is 0.0548. What fraction weight more than 4000 grams?

0.0013

0.0901

0.1003

0.0268

The average annual amount American households spend for transportation is $9,850. Assume the amount spent is normally distributed.

Suppose you learn that 5% of American households spend less than $4,800 for daily transportation. What is the standard deviation of the amount spent?

$3,079

$ 3,600

$3,290

$3,895

Consider the following population data: The textbook expense for N = 12 of E270 students is shown below.

800

490

400

590

760

400

750

640

560

600

680

730

For random samples of size n = 4 selected from this population, the expected value of x is,

405.87

627.56

418.98

616.67

The proportion of visitors to the Grand Canyon National Park who are foreigners is = 0.60.

In the sampling distribution of the proportion for samples of size n = 310 visitors, the margin of error for the interval that contains the middle 90% of sample proportions is,

0.035

0.038

0.046

0.025

. In the previous question, the margin of error which would capture 98% of sample proportions is,

0.065

0.032

0.054

0.043

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