1.You should use a webpage to find the test stat for this problem, Also look at the p-value

if the p-value is less than 0.05 there is strong evidence the variables are dependent (there is a difference in proportions).

The following data set is the results of some market research were some people were shown one ending (ending 1)and other people were shown a different ending (ending 2), they were asked if they like the product (yes or no)

Yes they liked the ending No they did not like the ending

ending 1 16 84

ending 2 74 26

Which option below has all the correct options to the chi square test of independence?

use the webpagehttp://www.quantpsy.org/chisq/chisq.htm

to find the chi square test stat

the output will give you the chi square value and the p-value,

a.

H0: independent , H1 dependent , chi square Test stat 958.00, reject H0 because there is not strong evidence variables are independent

b.

H0: notindependent , H1 independent , chi squareTest stat 67.96, Do not reject H0 because there is not strong evidence variables are dependent

c.

H0: independent , H1:dependent , chi square Test stat 958.00, reject H0 because there is not strong evidence variables are dependent

d.

H0: independent , H1: dependent , chi square Test stat 67.96, Do not reject H0 because there is not strong evidence variables are dependent

e.

H0: independent , H1 dependent , chi square Test stat 67.96, reject H0 because there isstrong evidence variables are dependent

f.

H0:notindependent , H1 independent , chi square Test stat 958.00, reject H0 because there is not strong evidence the means are different

g.

H0: not independent , H1 independent , chi squareTest stat -841.00, do not reject H0 because there is not strong evidence variables are independent

h.

H0: independent , H1 dependent , chi square Test stat -841.00, do not reject H0 because there is notevidence variables are independent

2.Conside the probabiliy distribuiton below

x probability p(x)

6.3 0.5

7.7 0.5

what is the standard deviation?

Hint: the population mean is 7

3.Suppose a normally distributed estimatehas a mean of 3.1 and standard deviation of 5.0

Which is the correct prediction of the 97.5thpercentile of the estimate

a.

97.5 th percentile of the estimate= mean+z*stdev=3.1+4.3*5.0=24.60

b.

97.5 th percentile of the estimate= mean+z*stdev=3.1+3*5.0=18.10

c.

97.5 th percentile of the estimate= mean+z*stdev=3.1-1.96*5.0=-6.70

d.

97.5 th percentile of the estimate= mean+z*stdev=3.1+1.96*5.0=12.90

Clear my choice

4.Suppose a normally distributed estimatehas a mean of 26.5 and standard deviation of 2.3

What is the 97.5th percentile of the ESTIMATE,

5.Consider the probability distribution of the binomial distribution with n=4 and p=0.64

X 0 1 2 3 4

P(X) 0.0167961 0.11943936 0.31850496 0.37748736 0.16777216

select the best 2 answers

click here for a guide

a.

The mean is -0.84

b.

P(X<2) = 0.14

c.

The mean is 2.56

d.

P(X<2) = -1.76

6.Suppose you are trying developed a model predict weight =y using heightand ageas predictors andyou have the regression equation

coefficients standard error

Intercept -8.5 -0.85

height 0.6 0.12

age -0.1 0.025

What is the equation of the regression line

a.

weight=-0.85 -0.12 height + 0.03 age

b.

=-8.00

c.

weight=-8.50 +0.60 height + 0.10 age

d.

weight=-8.50 +0.60height -0.10 age

e.

There is not enough information to answer the question.

7.Suppose you study the relationship between sales and temperature and obtain the following regression output

coefficient standard error Test stat p-value

Intercept NOT REQUIRED NOT REQUIRED NOT REQUIRED. NOT requi

temperature. -5.8 11.6 -0.5 0.87

Which of the options below is the complete solution to "testing the claim the slope is different to 0 using significance level=0.05"

You are 95% confident the slope is between -29 and 17.4

a.

H0 :indpendent, H1: not independent,do not reject H0 because there is not strong evidence the variable are dependent

b.

H0 : population slope = 0, H1: population slope 0,reject H0 because there not is strong evidence the slope is different to 0

c.

H0 : population slope = 0, H1: population slope 0,do not reject H0 because there is not strong evidence the slope is different to 0

d.

5.8

e.

H0 : population slope = 0, H1: population slope 0,so do not reject H0 because there isstrong evidence the slope is different to 0

f.

11.6

g.

H0 : population slope = 0, H1: population slope 0,reject H0 because there is strong evidence the slope is different to 0

h.

0.87

7.The managers of a brokerage firm are interested in finding out if the number of new clients a broker brings into the firm affects the sales generated by the broker. They sample 12 brokers and determine the number of new clients they have enrolled in the last year and their sales amounts in thousands of dollars. The regression output is

Coefficients Standard Error

Intercept 8.9 0.3

clients 3.5 0.2

Note that the dependent variable is y=sales and the independent variable is x=clients, so if you use the coefficients above the regression line is

sales = 8.9 +3.5clients

predict the sales of a broker with 26 clients

8.What is the standard deviation of the number of students if the

the number of students has the probability distribution

x. 19 27

p(x) 0.5 0.5

Hint the population mean is 23

9.What is the sample standard deviation of the sample of 3 numbers

2

1.6

2.4

Hintthe sample mean is 2

10.Tick the answer to both questions

1) Basic financial maths question what is 8.8% of $84000

2) Suppose84000 students test and Mr student gets a mark of 10 which is the 8.8th percentile, in other words P(X<10) =0.088 if X is the quantitative variable test mark. How many students get a mark below 10?

a.

8.8% of $8400.00 is $759.20

b.

7392 students got a mark below 10

c.

759 students got a mark below 10

d.

8.8% of $84000.00 is $7392.00