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)