Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter months). One therapy for SAD is phototherapy, which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of patients with SAD to different intensities of light (low, medium, high) in a light box, either in the morning or at night (these are the times thought to be most effective for light therapy). All participants rated their mood following this therapy on a scale from 1 (poor mood) to 9 (improved mood). The hypothetical results are given in the following table.
| Light Intensity | ||||
|---|---|---|---|---|
| Low | Medium | High | ||
| Time
of Day |
Morning | 5 | 5 | 7 |
| 6 | 6 | 8 | ||
| 4 | 4 | 6 | ||
| 6 | 7 | 9 | ||
| 5 | 9 | 5 | ||
| 6 | 8 | 8 | ||
| Night | 5 | 6 | 8 | |
| 8 | 8 | 7 | ||
| 6 | 6 | 6 | ||
| 7 | 5 | 8 | ||
| 4 | 9 | 7 | ||
| 3 | 8 | 6 | ||
(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Round your answers to two decimal places. Assume experimentwise alpha equal to 0.05.)
|
Source of Variation |
SS | df | MS | F |
|---|---|---|---|---|
| Time of day | ||||
| Intensity | ||||
| Time
of day × Intensity |
||||
| Error | ||||
| Total |
State the decision for the main effect of the time of day.
-Retain the null hypothesis
-Reject the null hypothesis.
State the decision for the main effect of intensity.
-Retain the null hypothesis
-Reject the null hypothesis.
State the decision for the interaction effect.
-Retain the null hypothesis.
-Reject the null hypothesis.
(b) Compute Tukey's HSD to analyze the significant main effect.
The critical value is for each pairwise comparison.
Summarize the results for this test using APA format.
In: Statistics and Probability
Challenge Exercise 3- Chapter 7
Expands on: E7-11
LO: 3
The following information pertains to Two Guys Video Company.
1. Cash balance per bank, July 31, $7,363.
2. July bank service charge not recorded by the depositor $22.
3. The bank erroneously charged another company’s $700 check against Two Guys’ account.
4. Cash balance per books, July 31, $8,784.
5. The bank charged Two Guys account $350 for a customer’s NSF check.
6. Deposits in transit, July 31, $2,200.
7. Two Guys recorded a cash receipt from a customer as $32. The bank correctly recorded it at $23.
8. Bank collected a $1,250 note for Two Guys in July, plus interest $36, less fee $20. The collection has not been recorded by Two Guys and no interest has been accrued.
9. Outstanding checks, July 31, $594.
Instructions:
(a) Prepare a bank reconciliation for July 31.
(b) Journalize the adjusting entries for July 31 on the books of Two Guys Video Company.
In: Accounting
We are in casino playing roulette, American version. We decided to play only red/black, i.e. to bet on red only.
We will use the Martingale strategy. A game starts with the first bet of 1 chip. If you win the game is over. You won a game. If you loose, you double your bet. You proceed to double your bet till you finally win or if you loose 6 in a row. Either way that concludes one game. You start a new game by betting 1 chip again.
Fill up the following table
|
Game ended as we |
Bet (no. of chips) |
Casino pays |
Profit |
Probability of this happening |
|
Won in the 1st round |
||||
|
Won in the 2nd round |
||||
|
Won in the 3rd round |
||||
|
Won in the 4th round |
||||
|
Won in the 5th round |
||||
|
Won in the 6th round |
||||
|
Lost 6 in a row |
From the table compute the probability of winning in a game. A game has two outcomes therefore it is a
______________________ experiment.
We made a PDF table for the game. Include the gain function.
|
Sample Space |
Win |
Loose |
|
|
||
|
Gain |
Now we decide to play the game 12 times. Fill the table below.
|
Number of games won (out of 12) |
Probability |
Gain |
|
0 |
||
|
1 |
||
|
2 |
||
|
3 |
||
|
4 |
||
|
5 |
||
|
6 |
||
|
7 |
||
|
8 |
||
|
9 |
||
|
10 |
||
|
11 |
||
|
12 |
For this table we used __________________ distribution
What is the probability of winning(making a profit) after 12 games?
What is the expectation of the gain after 12 games?
Should we Gamble?
Yes or No
In: Statistics and Probability
Chapter 7
Chapter 8
In: Nursing
Mike’s total utility from doing the same activity over and over is 50 utils after one repetition, 90 utils after two repetitions, 70 utils after three repetitions, 20 utils after four repetitions, -50 utils after five repetitions, and -200 utils after six repetitions. Write down his marginal utility for each repetition. Once Mike’s total utility begins to decrease, does each additional repetition of the activity hurt more than the previous one or less than the previous one?
In: Economics
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and three copper coins. Hat 2 contains four gold coins and six silver coins. Hat 3 contains three gold coins and seven copper coins. We randomly select one coin from each hat.
(a) The outcome of interest is the colour of each of the three selected coins. List the complete sample space of outcomes and calculate the probability of each.
(b) Let X be the number of gold coins selected. Find the probability distribution of X.
In: Statistics and Probability
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and three copper coins. Hat 2 contains four gold coins and six silver coins. Hat 3 contains three gold coins and seven copper coins. We randomly select one coin from each hat.
(a) The outcome of interest is the color of each of the three selected coins. List the complete sample space of outcomes and calculate the probability of each.
(b) Let X be the number of gold coins selected. Find the probability distribution of X
In: Statistics and Probability
Problem 2-18B Cost behavior and averaging
Chris Quill asks you to analyze the operating cost of his lawn services business. He has bought the needed equipment with a cash payment of $90,000. Upon your recommendation, he agrees to adopt straight-line depreciation. The equipment has an expected life of four years and no salvage value. Mr. Quill pays his workers $20 per lawn service. Material costs, including fertilizer, pesticide, and supplies, are expected to be $10 per lawn service.
Required
Determine the total cost of equipment depreciation and the average cost of equipment depreciation per lawn service, assuming that Mr. Quill provides 40, 50, or 60 lawn services during one month. Is the cost of equipment a fixed or a variable cost?
Determine the total expected cost of labor and the average expected cost of labor per lawn service, assuming that Mr. Quill provides 40, 50, or 60 lawn services during one month. Is the cost of labor a fixed or a variable cost?
Determine the total expected cost of materials and the average expected cost of materials per lawn service, assuming that Mr. Quill provides 40, 50, or 60 lawn services during one month. Is the cost of fertilizer, pesticide, and supplies a fixed or a variable cost?
Determine the total expected cost per lawn service, assuming that Mr. Quill provides 40, 50, or 60 lawn services during one month.
Determine the average expected cost per lawn service, assuming that Mr. Quill provides 40, 50, or 60 lawn services during one month. Why does the cost per unit decrease as the number of lawn services increases?
If Mr. Quill tells you that he prices his services at 30 percent above cost, would you assume that he means average or actual cost? Why?
In: Accounting
Will rate you!
1) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, two white ones, and one purple one. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]
She has two red ones and one of each of the other colors.
2) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, two white ones, and three purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]
3) The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are fourappetizers, five soups, four main courses, and four desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?
In: Statistics and Probability
5: Three bars of varying cross section are connected
to each other and is subjected to an axial
force of 50 kN as shown in figure. The dimensions of the two outer
bars are 40 mm x 40 mm and
length of the outer bars are measured to be the same. The middle
bar is having circular cross
section and the length of the middle bar is 3 times more than that
of the two outer bars. Stress in
the middle portion was observed to be 180 N/mm2 and the total
extension of three bars is equal to
7.534 mm. Recommend a suitable value for the diameter of the middle
bar and length of all three
sections, if the modulus of elasticity of the material is 80 x 105
N/cm2?
If all the three bars are made up of the same material and having
modulus of rigidity of the
material equal to 320 tonnes/cm2, what will be the changes in
lateral dimensions for all three
bars? Conclude the relationship between lateral strain and
longitudinal strain based on your
findings.
In: Civil Engineering