How do California high school students compare to students nationwide in their college readiness, as measured by their SAT scores? The national average scores for the class of 2017 were 533 on Evidence-Based Reading and Writing and 527 on the math portion.† Suppose that 100 California students from the class of 2017 were randomly selected and their SAT scores were recorded in the following table.
|
Evidence-Based Reading and Writing |
Math | |
|---|---|---|
| Sample Average | 529 | 522 |
| Sample Standard Deviation | 98 | 99 |
(a)
Do the data provide sufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 differs from the national average? Use
α = 0.05.
State the null and alternative hypotheses.
H0: μ ≠ 527 versus Ha: μ = 527H0: μ = 533 versus Ha: μ > 533 H0: μ = 533 versus Ha: μ < 533H0: μ < 527 versus Ha: μ > 527H0: μ = 533 versus Ha: μ ≠ 533
Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)
z=p-value=
State your conclusion.
a)The p-value is greater than alpha, so H0 is not rejected. There is sufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.
b)The p-value is less than alpha, so H0 is rejected. There is sufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.
c)The p-value is greater than alpha, so H0 is not rejected. There is insufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.
D)The p-value is less than alpha, so H0 is rejected. There is insufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.
(b)
Do the data provide sufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average? Use
α = 0.05.
State the null and alternative hypotheses.
H0: μ = 533 versus Ha: μ > 533
H0: μ = 533 versus Ha: μ < 533
H0: μ = 527 versus Ha: μ ≠ 527
H0: μ < 527 versus Ha: μ > 527
H0: μ ≠ 527 versus Ha: μ = 527
Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)
z=p-value=
State your conclusion.
The p-value is less than alpha, so H0 is rejected. There is sufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.
The p-value is greater than alpha, so H0 is not rejected. There is insufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.
The p-value is less than alpha, so H0 is rejected. There is insufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.
The p-value is greater than alpha, so H0 is not rejected. There is sufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.
In: Statistics and Probability
Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05. He takes 5 shots. What is the probability he makes at least 3 shots?
Please answer with a tree diagram and all the outcomes. As simple and clear as possible please
In: Statistics and Probability
John and Eric are childhood friends who went to school and university together. After graduation, John moved to Spain where he joined his family and started a business exporting authentic Spanish Artwork to clients around the World. Eric operates a retail store in Brazil, and the two friends agreed to start a business together. John would send artwork to Eric who would sell it in his store at a reasonable price. John shipped the Artwork by mail to ensure quick, timely delivery. Eric verbally agreed to pay John 30 days after shipment and they would split the profits equally, with each party getting 50 percent. 45 days after shipment, John contacted Eric to see how things were progressing. Eric informed John that the Artwork had not sold. He indicated some potential buyers had shown interest, but thought the art was priced too high. A month later, John called Erik to follow up and collect funds. Eric mentioned he had no cash on hand and his financial situation made it impossible to make any payments for the moment. Eric gave John the option to either take the frames back or sell them at cost. John is unable to obtain assistance from any of his friends and lawyers as there are no written contractual agreements signed. 4 months later, John followed up one last time. Eric mentioned he sold the frames for 25 percent of the asking price, and he did not transfer any funds for payment of artwork and additional costs. John lost $9,000 worth of goods and a friend that he trusted.
. What mistakes did John make during his negotiation
that led to this loss? *
2. Is there anything John can legally do now to minimize his loss in this transaction? *
3. How would you negotiate differently in a similar future transaction to avoid this situation at the end? *
In: Economics
Oriole Monograms sells stadium blankets that have been monogrammed with high school and university emblems. The blankets retail for $47 throughout the country to loyal alumni of over 3,700 schools. Oriole’s variable costs are 42% of sales; fixed costs are $116,000 per month.
Oriole currently sells 143,000 blankets per year. If sales volume were to increase by 15%, by how much would operating income increase? (Round answer to 0 decimal places, e.g. 5,275.)
In: Accounting
Data collected from 800 school athletes show that 350 of them stretched before exercising and the rest did not.
Among these 350, 80 suffered an injury last year. Among the remaining athletes who did not exercise, 150 got injured last year.
a) Form the contingency table.
b) What is the risk of getting injured if you do not stretch?
c) What is the relative risk of getting injured if you stretch in comparison to if you do not?
d) What are the odds of getting injured if you stretch?
e) Do the hypothesis testing to establish if the relationship between stretching and getting injured is statistically significant or not.
1. State the hypothesis.
2. Make the expected counts table.
3. Calculated the Chi-squared test statistic. What is the conclusion?
4. Find the p-value. What is the conclusion?
5. Make a final decision about the relationship between stretching and injuries.
In: Statistics and Probability
Sheridan Company and Concord Company both manufacture school science equipment. The following financial information is for three years ended December 31 (in thousands):
| Sheridan Company | 2021 | 2020 | 2019 |
| Net sales | $557.0 | $524.6 | $472.0 |
| Profit | 21.7 | 20.7 | 19.2 |
| Total assets | 698.7 | 670.7 | 600.7 |
| Concord Company | 2021 | 2020 | 2019 |
| Net sales | $1,750.7 | $1,586.7 | $1,472.8 |
| Profit | 96.7 | 85.7 | 78.7 |
| Total assets | 1,528.7 | 1,418.7 | 1,323.7 |
(a)
Calculate the asset turnover and return on assets ratios for both
companies for 2020 and 2021. (Round answers to 2
decimal places, e.g. 52.75.)
| Sheridan Company | Concord Company | |||
| Asset turnover 2021 | : 1 | : 1 | ||
| Asset turnover 2020 | : 1 | : 1 | ||
| Return on assets 2021 | % | % | ||
| Return on assets 2020 | % | % |
In: Accounting
You wish to take an Excel course. You may enroll at one within your school or you may take a community class at the local library. You've gathered the following information to aid in your decision-making process.
|
Costs/Benefits |
College Course |
Professional Development Course |
Relevant or Irrelevant |
|
Cost |
$3,000 |
$1,000 |
|
|
Distance to course |
0.25 miles (walking distance) |
15 miles (driving distance); cost to drive is $.50/miles plus $3 parking |
|
|
Timing of course |
Weekday |
Weekend |
|
|
Number of meetings |
8 |
8 |
|
|
Qualitative considerations |
Transferrable towards higher degree |
Less rigorous, ungraded |
Required:
a. Indicate in the table above which costs are relevant and which are not relevant in the choice between these two alternatives.
b. What is the differential cost between the two alternatives?
SHOW ALL WORK AND CALCULATIONS!
In: Accounting
[The following information applies to the questions
displayed below.]
Wells Technical Institute (WTI), a school owned by Tristana Wells,
provides training to individuals who pay tuition directly to the
school. WTI also offers training to groups in off-site locations.
Its unadjusted trial balance as of December 31, 2017, follows. WTI
initially records prepaid expenses and unearned revenues in balance
sheet accounts. Descriptions of items a through h
that require adjusting entries on December 31, 2017, follow.
Additional Information Items
| WELLS TECHNICAL INSTITUTE Unadjusted Trial Balance December 31, 2017 |
|||||
| Debit | Credit | ||||
| Cash | $ | 34,000 | |||
| Accounts receivable | 0 | ||||
| Teaching supplies | 8,000 | ||||
| Prepaid insurance | 12,000 | ||||
| Prepaid rent | 3,000 | ||||
| Professional library | 35,000 | ||||
| Accumulated depreciation—Professional library | $ | 10,000 | |||
| Equipment | 80,000 | ||||
| Accumulated depreciation—Equipment | 15,000 | ||||
| Accounts payable | 26,000 | ||||
| Salaries payable | 0 | ||||
| Unearned training fees | 12,500 | ||||
| Common stock | 10,000 | ||||
| Retained earnings | 80,000 | ||||
| Dividends | 50,000 | ||||
| Tuition fees earned | 123,900 | ||||
| Training fees earned | 40,000 | ||||
| Depreciation expense—Professional library | 0 | ||||
| Depreciation expense—Equipment | 0 | ||||
| Salaries expense | 50,000 | ||||
| Insurance expense | 0 | ||||
| Rent expense | 33,000 | ||||
| Teaching supplies expense | 0 | ||||
| Advertising expense | 6,000 | ||||
| Utilities expense | 6,400 | ||||
| Totals | $ | 317,400 | $ | 317,4 | |
In: Accounting
In: Nursing
In: Finance