Consider the following hypothesis test.

A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05.

(Round your answers to two decimal places.)

(a) x = 52.7 Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic ≤_______

test statistic ≥_______

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.

Do not reject H₀. There is sufficient evidence to conclude that μ > 50.     

Do not reject H₀. There is insufficient evidence to conclude that μ > 50.

Reject H₀. There is sufficient evidence to conclude that μ > 50.

(b) x = 51

Find the value of the test statistic. _____

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic ≤ _____

test statistic ≥ _____

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.

Do not reject H₀. There is sufficient evidence to conclude that μ > 50.     

Do not reject H₀. There is insufficient evidence to conclude that μ > 50.

Reject H₀. There is sufficient evidence to conclude that μ > 50.

(c) x = 51.9

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic ≤ _____

test statistic ≥ _____

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.

Do not reject H₀. There is sufficient evidence to conclude that μ > 50.     

Do not reject H₀. There is insufficient evidence to conclude that μ > 50.

Reject H₀. There is sufficient evidence to conclude that μ > 50.

You may need to use the appropriate appendix table or technology to answer this question.

Consider the following hypothesis test.

A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use

α = 0.05.

(Round your answers to two decimal places.)

(a)

x = 52.4

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.Do not reject H₀. There is insufficient evidence to conclude that μ > 50.    Reject H₀. There is sufficient evidence to conclude that μ > 50.Do not reject H₀. There is sufficient evidence to conclude that μ > 50.

(b)

x = 51

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.Do not reject H₀. There is insufficient evidence to conclude that μ > 50.    Reject H₀. There is sufficient evidence to conclude that μ > 50.Do not reject H₀. There is sufficient evidence to conclude that μ > 50.

(c)

x = 51.8

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.Do not reject H₀. There is insufficient evidence to conclude that μ > 50.    Reject H₀. There is sufficient evidence to conclude that μ > 50.Do not reject H₀. There is sufficient evidence to conclude that μ > 50.

An industrial coal-fired boiler for process steam is equipped with a 10-year-old electrostatic precipitator (ESP). Changes in coal quality have caused stack emissions to be in noncompliance with federal standards for particulate. Two mutually exclusive alternatives have been proposed to rectify this problem (doing nothing is not an option). New Baghouse: Capital investment $1,140,000, Annual operating expenses $73,200. New ESP: Capital Investment $992,500, Annual operating expenses $115,500. The life of both alternatives is 10 years, the effective tax rate is 40% and the after-tax MARR is 9%. Both alternatives qualify as seven-year MACRS (GDS) equipment. Make a recommendation regarding which alternative to select based on after-tax analysis using NPV.

7.   __________________ representation of a binary number uses the bit following (after)

      the most significant bit as the sign bit, making it possible to determine whether an

      integer is negative or positive.

      A). 2’s complement

      B). 1’s complement

      C). bitwise complement

      D). bitwise negation

8. To obtain the 2’s complement of a binary number, it is necessary to flip (reverse) the

      bits and ___________________________.

      A). subtract 1

      B). divide by 1

      C). complement by 1

      D). add 1

9.   An overflow condition in signed numbers has occurred when ___________________.

     A). the carry into the sign bit is different from the carry out of the sign bit

      B). the carry into the sign bit equals the carry out of the sign bit

      C). the carry into the sign bit is a multiple of 10 of the bit value on the carry out of the

            sign bit

      D). the carry into the sign bit is a negative value

10. Expresed as a series of 8 bits, the binary number that results from the addition of the

     decimal (base 10) numbers 120 and –132 is ___________________________.

      A). 00010100

      B). 01010000

      C). 11110100

      D). 00000011

11. The hexadecimal (base 16) equivalent of the binary (base 2) number 110111110111

       is _________________________.

       A). FE7

       B). DF7

       C). D0E

       D). EAD

12. In the EBCDIC collating sequence, lower case alphabetic characters ‘a’ thru ‘z’ are

      considered to _____________ in value than upper case alphabetic characters A

      thru Z.

      A). be lower

    B). be higher

      C). be equal

      D). have more precision

13. One of the inherent problems with migrating code from EBCDIC-based systems to

      ASCII-based systems is that ____________________________________________.

      A). the executable code will run slower on an ASCII-based system than on an

            EBCDIC-based system

      B). output results from sort routines and SQL queries may differ between the two

            systems depending on the specific database values being processed

      C). system performance bottlenecks will occur when the executable code runs on the

            ASCII-based system that did not exist when the executable code ran on the

            EBCDIC-based system

      D). executable code running on EBDCIC-based systems cannot be optimized to run

            faster.

14. Three common Boolean operators are _________________________________.

       A). ADD, SUBTRACT, and DIVIDE

       B). NOT, DIVIDE, and EXCLUSIVE OR

       C). NOT AND, NOT OR, and EXCLUSIVE OR

       D). AND, OR and NOT

15. When the Boolean operator __________ is applied to a Boolean expression, the result

      is the complement of the expression.

      A). NOT

      B). OR

      C). AND

      D). bitwise complement

16. The basic physical component of a computer is the __________________; the basic

       logic element is the _______________.

       A). motherboard, transistor

       B). transistor, multiplexer

       C). transistor, gate

       D). gate, transistor

17. The rules of precedence of Boolean operations are __________________________.

       A). the OR operator has highest precedence, followed by the NOT operator, then the

             AND operator

       B). the NOT operator has highest precedence, followed by the AND operator, then

             the OR operator

       C). the AND operator has the highest precedence, followed by the OR operator, then

             the NOT operator

       D). the NOT operator has highest precedence only when followed by the OR

             operator

18. A(n) ______________ is an electronic device that produces a result based on two or

      more input values.

      A). gate

      B). arithmetic logic unit

      C). transistor

      D). central processing unit

19. The output of the ________________ Boolean operation is true only when the values

      of the inputs differ.

      A). NOT AND (NAND)

      B). NOT OR (NOR)

      C). EXCLUSIVE OR (XOR)

      D). ANDOR (AOR)

A researcher wants to study the relationship between salary and gender. She randomly selects 384 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent?

Step 1 of 8: State the null and alternative hypothesis.

Step 2 of 8: Find the expected value for the number of men with an income below $25,000. Round your answer to one decimal place.

Step 3 of 8:

Find the expected value for the number of women with an income above $75,000. Round your answer to one decimal place.

Step 4 of 8:

Find the value of the test statistic. Round your answer to three decimal places.

Step 5 of 8: Find the degrees of freedom associated with the test statistic for this problem.

Step 6 of 8:

Find the critical value of the test at the 0.05 level of significance. Round your answer to three decimal places.

Step 7 of 8:

Make the decision to reject or fail to reject the null hypothesis at the 0.05 level of significance.

Step 8 of 8: State the conclusion of the hypothesis test at the 0.05 level of significance.

The monthly value of sales for the first 3 years of a restaurant’s operation is shown below (values are in 1,000 USD).

Use a multiple linear regression model with dummy variables to develop an equation to account for seasonal effect in the data. (data below) ---- SHOW IN EXCEL

Twenty laboratory mice were randomly divided into two groups of 10. Each group was fed according to a prescribed diet. At the end of 3 weeks, the weight gained by each animal was recorded. Do the data in the following table justify the conclusion that the mean weight gained on diet B was greater than the mean weight gained on diet A, at the α = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.)

(a) Find t. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that diet B had a greater weight gain. Reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.     Fail to reject the null hypothesis, there is significant evidence that diet B had a greater weight gain. Fail to reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain.

1. Suppose a raffle costs $4 to buy a ticket. there are 100 tickets and you buy one ticket. what is your expected winning if the following prizes are awarded: one first prize: $80 two second prizes of $40 twenty third prizes of $8

2. a student estimates that for each question of a ten question true/false test, he has about a 75% chance of getting the answer right. what are his chances of passing the test with a grade of 80 or better? Show the calculator input for your answer.

3. Mary is looking for someone with a change of $1. she estimates that each person she asks has a 25 probability of having the right change. what is the probability that Mary will have to ask at least four people in order to find one with the right change?