A sample of scores for men and women from an examination in Statistics 201 were:

Given that the null hypothesis and the alternative hypothesis are:

  H₀: μ_m - μ_w = 3
  H₁: μ_m - μ_w ≠ 3

and using a 0.05 significance level conduct a t-test about a difference in population means:

b) Compute the pooled variance.
For full marks your answer should be accurate to at least four decimal places.

Pooled variance: 0

c) Compute the value of the test statistic.
For full marks your answer should be accurate to at least three decimal places.

Test statistic: 0

Explain meaning of integration by using the information and example given

Integration • In the context of integration, explain the difference, and illustrate with an example, between after tax cash of $10,000 earned as interest income and as eligible dividend income. Use the combined 38.29% Federal and BC marginal tax rate and the 2020 rates for general corporate tax and eligible dividend tax credit (hint 27%, 38%, 15.02%, 12%)

Post in relation to your topic o An explanation; o An example and/or calculation; or, o Illustrative material (diagram, flowchart)

Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.10 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. ​Actress's age: 16, 25, 24, 49, 27 ​Actor's age: 43, 40, 65, 55, 42

Hypothesis test. Please include confidence interval.

You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 10 percent and 27 percent, respectively. The standard deviations of the assets are 17 percent and 31 percent, respectively. The correlation between the two assets is 0.07 and the risk-free rate is 3 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places when calculating your answer. )

listed below are the numbers of forest fires (in thousands) and the acres that were burned (in hundred thousands) during a year.

x 70 65 58 48 83 65 56 42

y 28 41 22 27 53 19 30 18

find the value of the linear correlation coefficient r and use a significance level of a=0.05 to determine whether there is a significant linear correlation between the two variables.

Find the best predicted value (including units) for the number of acres burned given that there were 60 thousand fires.

Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table)

x−1 = 24.7 x−2 = 29.6

σ= 95.4 σ = 93.2

n1 = 29 n2 = 27

a. Construct the 95% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

We want to test is the life expectancy in country A and B are equal at 98% confidence level. Gven the

Given the data in Exhibit 3, the p-value for the difference between the two population means is_____ and at 95% confidence level the null hypotheis_____

Select one:

a. 0.0013, should not be rejected

b. 0.1823, shoul be rejected

c. 0.1946, should not be rejected

d. 0.0026, should be rejected

As part of a research program for a new cholesterol​ drug, a pharmaceutical company would like to investigate the relationship between the ages and LDL​ (low-density lipoprotein) cholesterol of men. The following data set shows the ages and LDL cholesterol levels of seven randomly selected men. Construct a​ 95% confidence interval to estimate the average LDL cholesterol level of a 30 year old man.

UCL=

LCL=

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=96 and σ=27.

(a) What proportion of children aged 13 to 15 years old have scores on this test above 78 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.)
Answer:

(b) Enter the score which marks the lowest 25 percent of the distribution.
Answer:

(c) Enter the score which marks the highest 5 percent of the distribution.
Answer:

You are choosing between two projects. The cash flows for the projects are given in the following table​ ($ million):

a. What are the IRRs of the two​ projects? (Round to one decimal​ place.)

b. If your discount rate is 4.7%​ what are the NPVs of the two​ projects?

c. Why do IRR and NPV rank the two projects​ differently?