Read the following statements and decide if they are true sometimes, always or never. Be sure to give a reason for each statement or use an example and the reason why it shows the statement is false. You can download this document in the module one section Fractions and attach it if you prefer.

1. All fractions are less than one
2. Improper fractions are greater than or equal to one
3. Proper fractions are less than one
4. Fractions are always part of a whole
5. All Fractions can be written as terminating decimals.
6. When you create an equivalent fraction, you are multiplying by one.
7. Numerators and denominators are always the same.

These questions come from MBA 5008

1. What is the difference between a point estimate and a confidence interval?

2. Is a point estimate alone is adequate?

3. Evaluating the effect of variability measurement (confidence interval) on the resulting estimates.

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 36 coins was collected. Those coins have a mean weight of 2.49502g and a standard deviation of 0.01562

Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5g

Do the coins appear to conform to the specifications of the coin​ mint?

test statistic z=

p=

A researcher studied the relationship between the salary of a working woman with school-aged children and the number of children she had. The results are shown in the following frequency table:

                                             Number of Children

         If a working woman has more than 2 children, what is the probability she has a low or medium salary?

         A.      0.79            B.      0.45            C.      0.35            D.      0.95

Q 1.An online retailer, Mr Collins Ndhlovu, has two adverts posted in different parts of a well-known social networking website, Advertisement A and Advertisement B. An average of 2 ‘clicks’ are generated by Advertisement A during the period Monday 10.00 to 10.05am. There are on average 5 ‘clicks’ generated by Advertisement B during the same period. Calculate the probability that on a particular Monday between 10.00 and 10.05 am: i)Advertisement A generates at most 3 clicks. ii)Advertisement A generates at least 4 clicks. ii)Advertisement B generates no more than 4 clicks. iv)Advertisement A generates exactly 2 clicks and Advertisement B exactly 2 clicks. v)At least 3 clicks are generated in total by the two advertisements. (5marks)

Explain the difference between a confidence interval and a prediction interval?

The National Association of Home Builders provided data on the cost of the two most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows.

Using Kitchen as population 1 and Master Bedroom as population 2, develop a point estimate of the difference between the population mean remodeling costs for the two types of projects (to 1 decimal).
$   thousand

Develop a 90% confidence interval for the difference between the two population means (to 1 decimal). Use z-table.
( ,  )

A recent survey reported that 39​% of​ 18- to​ 29-year-olds in a certain country own tablets. Using the binomial​ distribution, complete parts​ (a) through​ (e) below.

a. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, four will own a​ tablet?

The probability is ? (Type an integer or a decimal. Round to four decimal places as​ needed.)

b. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, all six will own a​ tablet?

c. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, at least four will own a​ tablet?

d. What are the mean and standard deviation of the number of​ 18- to​ 29-year-olds who will own a tablet in a survey of​ six?

e. What​ assumption(s) do you need to make in​ (a) through​ (c)?

The computer that controls a bank's automatic teller machine crashes a mean of 0.4 0.4 times per day. What is the probability that, in any seven-day week, the computer will crash less than 4 4 times? Round your answer to four decimal places.

Describe the kind of data that are collected for an independent-measures t-test and the hypotheses that the test evaluates. The key to helping formulate your explanation would be to include the assumptions of this statistical model, the type of sample used in this model, and a statement about the null hypothesis.

Calculate a geometric series

1.For v greater than 0 and less than 1, what is the Sum(v^i) for i = 1 to 100?

2.For v greater than 0 and less than 1, what is the Sum(v^i) for i = 1 to infinity?

3.Let v = 1/(1+r). State the answer to question 2 in terms of r.

Question 1 contains the actual values for 12 periods (listed in order, 1-12). In Excel, create forecasts for periods 6-13 using each of the following methods: 5 period simple moving average; 4 period weighted moving average (0.63, 0.26, 0.08, 0.03); exponential smoothing (alpha = 0.23 and the forecast for period 5 = 53); linear regression with the equation based on all 12 periods; and quadratic regression with the equation based on all 12 periods.  Round all numerical answers to two decimal places.

1. The actual values for 12 periods (shown in order) are:

1. Write up the results from this analysis using APA format. Make sure you include each group mean (and SD) exam score, the correct F stat with the correct degrees of freedom and p-value, decision regarding the null, and the follow-up comparisons (if necessary). Use the example in the SPSS ANOVA lecture to help guide you. [3 points]

1) Suppose that E(Y∣X)=X^2. Then E(Y/X) is equal to which of the following?

a) 1 b) E(X) c) E(X^2) d) E(Y)

2)Var(Y∣X=x) is less than or equal to Var(Y) unless Var(Y)=0. True or False?

8-5 (30) X and Y are independent random variables, and both are normally distributed with mean zero and variance one. Two new random variables. Z and W are defined by Z = X² + Y² , W = X/Y

(14) a). Find f_z.w(z.w)indicating the domains over which it is defined.

(6) b). Are Z and W independent? Explain your answer.

(10) c) Find the marginal densities f_W (w) and f_Z (z) and the domain of each.