Task 1:

Project Week 6

For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Download it here.

Using the ROI data set:

1.For each of the 2 majors test the hypothesis at the 5% significance level:

oThe mean ‘Cost’ for a college is $160,000. Be sure to interpret your results.

1.For Business versus Engineering majors conduct a two sample test of the hypothesis at the 10% significance level (assume the variances are not equal):

oThe average ’30-Year ROI’ for Business majors is less than for Engineering Majors. Be sure to interpret your results.

Task 2:

Relationship of Height and Weight

Using the given Height and Weight data set, follow the steps in the weekly video or on pages 584-585 of the textbook for performing a regression analysis using Excel to analyze the Height and Weight Data set (assume height is the input variable x and weight is the output variable y).

Once you have performed the analysis in Excel, state the correct simple linear regression equation and use the regression equation to predict the weight (in pounds) of a person who is 65 inches tall and the weight (in pounds) of a person who is 100 inches tall.

Why might the regression equation you have found not be a good predication of the weight of someone who is 100 inches tall?

Task 3:

Choose the correct multiple answer

QUESTION 1

1.

A portion of the population selected to represent the population is called

statistical inference

Data and Statistics

a census

a sample

5 points

QUESTION 2

1.

The process of analyzing sample data in order to draw conclusions about the characteristics of a population is called

Data and Statistics

statistical inference

data analysis

data summarization

5 points

QUESTION 3

1.

A numerical value used as a summary measure for a sample, such as sample mean, is known as a

population parameter

sample parameter

sample statistic

population mean

5 points

QUESTION 4

1.

The set of all possible sample points (experimental outcomes) is called

a sample

an event

the sample space

a population

5 points

QUESTION 5

1.

A numerical description of the outcome of an experiment is called a

descriptive statistic

probability function

variance

random variable

5 points

QUESTION 6

1.

A description of the distribution of the values of a random variable and their associated probabilities is called a

probability distribution

random variance

random variable

expected value

5 points

QUESTION 7

1.

Which of the following is not a characteristic of the normal probability distribution?

The mean, median, and the mode are equal

The mean of the distribution can be negative, zero, or positive

The distribution is symmetrical

The standard deviation must be 1

5 points

QUESTION 8

1.

A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the

approximation theorem

normal probability theorem

central limit theorem

central normality theorem

5 points

QUESTION 9

1.

The value added and subtracted from a point estimate in order to develop an interval estimate of the population parameter is known as the

confidence level

margin of error

parameter estimate

interval estimate

5 points

QUESTION 10

1.

Whenever the population standard deviation is unknown and the population has a normal or near-normal distribution, which distribution is used in developing an interval estimation?

standard distribution

z distribution

alpha distribution

t distribution

5 points

QUESTION 11

1.

The level of significance

can be any positive value

can be any value

is (1 – confidence level)

can be any value between -1.96 to 1.96

10 points

QUESTION 12

1.

When the p-value is used for hypothesis testing, the null hypothesis is rejected if

p-value ≤ α

α < p-value

p-value ≥ α

p-value = 1 – α

10 points

QUESTION 13

1.

The p-value is a probability that measures the support (or lack of support) for the

null hypothesis

alternative hypothesis

either the null or the alternative hypothesis

sample statistic

10 points

QUESTION 14

1.

The coefficient of correlation

is the square of the coefficient of determination

is the square root of the coefficient of determination

is the same as r-square

can never be negative

10 points

QUESTION 15

1.

Regression analysis is a statistical procedure for developing a mathematical equation that describes how

one independent and one or more dependent variables are related

several independent and several dependent variables are related

one dependent and one or more independent variables are related

None of these alternatives is correct.

Task 4:

CHoose the correct multiple choice answers :

QUESTION 1

1.

A numerical value used as a summary measure for a sample, such as sample mean, is known as a

population parameter

sample parameter

sample statistic

population mean

5 points

QUESTION 2

1.

The 50th percentile is the

mode

median

mean

third quartile

5 points

QUESTION 3

1.

The difference between the largest and the smallest data values is the

variance

interquartile range

range

coefficient of variation

5 points

QUESTION 4

1.

When data are positively skewed, the mean will usually be

greater than the median

smaller than the median

equal to the median

positive

5 points

QUESTION 5

1.

The numerical value of the standard deviation can never be

larger than the variance

zero

negative

smaller than the variance

5 points

QUESTION 6

1.

Which of the following symbols represents the standard deviation of the population?

σ2

σ

μ

x ̅

5 points

QUESTION 7

1.

Which of the following symbols represents the mean of the population?

σ2

σ

μ

x ̅

5 points

QUESTION 8

1.

Which of the following symbols represents the mean of the sample?

σ2

σ

μ

x ̅

5 points

QUESTION 9

1.

Two events are mutually exclusive

if their intersection is 1

if they have no sample points in common

if their intersection is 0.5

None of these alternatives is correct.

5 points

QUESTION 10

1.

The range of probability is

any value larger than zero

any value between minus infinity to plus infinity

zero to one

any value between -1 to 1

5 points

QUESTION 11

1.

The sum of the probabilities of two complementary events is

0

0.5

0.75

1

10 points

QUESTION 12

1.

The union of events A and B is the event containing

all the sample points belonging to B or A

all the sample points belonging to A or B

all the sample points belonging to A or B or both

all the sample points belonging to A or B, but not both

10 points

QUESTION 13

1.

Events A and B are mutually exclusive. Which of the following statements is also true?

A and B are also independent.

P(A ∪ B) = P(A)P(B)

P(A ∪ B) = P(A) + P(B)

P(A ∩ B) = P(A) + P(B)

10 points

QUESTION 14

1.

The set of all possible sample points (experimental outcomes) is called

a sample

an event

the sample space

a population

10 points

QUESTION 15

1.

If A and B are independent events, then

P(A) must be equal to P(B)

P(A) must be greater than P(B)

P(A) must be less than P(B)

P(A) must be equal to P(A│B)

 
Do you need a similar assignment done for you from scratch? We have qualified writers to help you. We assure you an A+ quality paper that is free from plagiarism. Order now for an Amazing Discount!
Use Discount Code "Newclient" for a 15% Discount!

NB: We do not resell papers. Upon ordering, we do an original paper exclusively for you.