The population mean annual salary for high school teachers is $64,500 and the standard deviation is $7,800. A random sample of 50 teachers is obtained from this population.
1. is this sample normally distributed? why or why not?
2. What is the probability that the mean salary is less than $61,500?
3.Write the entire STATCrunch or calculator instructions/commands you use to solve this problem. Use the appropriate probability statement (ex. ?(? ≤ 2) = .20) when expressing your answer.
4.Is the probability that the mean salary is less than $61,500 an unusual event? Explain your reasoning.
In: Statistics and Probability
As the cancer expert in the Biology Department at your school, NBC news contacts you to discuss the effects of bisphenol A (BPA) exposure on cancer risk. can cure leukemia can cure leukemiaThe reporter is very interested as she has read several articles on this topic. In particular she wants you to explain the following:
Is there sufficient evidence linking BPA to cancer? If so, is the risk the same of all types of cancer or are their particular types of cancer that are know to be associated with BPA exposure?
In: Biology
Personal Budget
At the beginning of the school year, Priscilla Wescott decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:
| Cash balance, September 1 (from a summer job) | $8,140 |
| Purchase season football tickets in September | 110 |
| Additional entertainment for each month | 280 |
| Pay fall semester tuition in September | 4,400 |
| Pay rent at the beginning of each month | 390 |
| Pay for food each month | 220 |
| Pay apartment deposit on September 2 (to be returned December 15) | 600 |
| Part-time job earnings each month (net of taxes) | 1,010 |
a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except cash decrease which should be indicated with a minus sign.
| Priscilla Wescott | ||||
| Cash Budget | ||||
| For the Four Months Ending December 31 | ||||
| September | October | November | December | |
| Estimated cash receipts from: | ||||
| $ | $ | $ | $ | |
| Total cash receipts | $ | $ | $ | $ |
| Less estimated cash payments for: | ||||
| $ | ||||
| $ | $ | $ | ||
| Total cash payments | $ | $ | $ | $ |
| Cash increase (decrease) | $ | $ | $ | $ |
| Cash balance at end of month | $ | $ | $ | $ |
b. Are the four monthly budgets that are
presented prepared as static budgets or flexible budgets?
c. What are the budget implications for Priscilla Wescott?
Priscilla can see that her present plan sufficient cash. If Priscilla did not budget but went ahead with the original plan, she would be $ at the end of December, with no time left to adjust.
In: Accounting
As the cancer expert in the Biology Department at your school, NBC news contacts you to discuss the effects of bisphenol A (BPA) exposure on cancer risk. The reporter is very interested as she has read several articles on this topic. In particular she wants you to explain the following:
she has read that a combination of BPA with a high fat diet increase the risk of the offspring developing cancer while intake of some natural products (e.g., curcumin) can reduce the risk developing BPA-associated cancers. Can you design an in vivo study looking at the actions of BPA alone or in combination with either high fat diet or curcumin on mammary tumors in mice
In: Biology
he mean throwing distance of a football for a Luis, a high school freshman quarterback, is 50 yards, with a standard deviation of three yards. The team coach tells Luis to adjust his grip to get more distance. The coach records the distances for 35 throws. For the 35 throws, Luis’s mean distance was 54 yards. The coach thought the different grip helped Luis throw farther than 50 yards. Conduct a hypothesis test using a preset α = 0.01. Assume the throw distances for footballs are normal. a. Determine what type of test this is: A, B or C? Blank 1 A) Single population mean with standard deviation known B) Single population mean with standard deviation not known C) Single population proportion b. Identify the null hypothesis, A, B,C or D? Blank 2 Identify the alternative hypothesis, A, B,C or D ? Blank 3 A) B) C) D) c. Find the test-statistic to 2 decimal places Blank 4 d. Find the p-value to nearest whole number Blank 5 e. State your conclusion, A, B, or C? Blank 6 A. Can't reject null. There is not sufficient evidence from this sample data to show that Luis’s mean throwing distance is greater than 50 yards. B. Reject null. There is sufficient evidence from this sample data to show that Luis’s mean throwing distance is greater than 50 yards. C. no conclusion
In: Statistics and Probability
Suppose a market place for candy has emerged in the school lunch room. The price of a Starburst is 16 cents, p1 = 16, and the price of an M&M is 4 cent, p2 = 4. Antonio has 12 Starbursts and zero M&M’s. Kate has zero Starbursts and 200 M&Ms. Suppose Antonio’s and Kate’s preferences are characterized by marginal rate of substitution functions, MRSAntonio(x1,x2) = (12)/(√(3(x1)) MRSKate (x1,x2)= (2√(2(x2))/(5)
1. Verify that MRS representation of preferences for Antonio and Kate are consistent with the utility function representations, uA(x1,x2) = 16√(3(x1)) + 2(x2) uK(x1,x2) = 2(x1) + 5√(2(x2)) where uA(x) is Antonio’s utility function and uK(x) is Kate’s utility function. (Hint: Use the formula, MRS = MU1/MU2.)
2. Use the formula for optimal demand, MRS (x∗) = p1/p2 together with the equation for the budget line to determine Antonio’s optimal consumption choice. Denote it x∗A.
3. Use the formula for optimal demand, MRS (x∗) = p1/p2 together with the equation for the budget line to determine Kate’s optimal consumption choice. Denote it x∗K.
4. Draw Antonio’s budget constraint the same way as in Problem 3. Illustrate the optimal consumption choice x∗A and the initial allocation eA. Draw the indifference curves that run through each of the two points. Use this to argue how the market has allowed Antonio to improve his welfare relative to his initial allocation.
5. Repeat question 4, but for Kate.
In: Economics
The Drombostu district has recorded a 15% increase in the number of high school students in the district that are not developed mental illness. The officer of the police service who disclosed this matter to the public has lamented the recent increases in the number of farms used to cultivate Indian hemp. But the police services are not ruling out other hereditary issues that may be accounting for this problem. There has not been a health center in the district until three years ago. The mental illness cases were corrected at the local health center. The district has also recorded a 6% increase in divorces in recent times. This record was only made known by the district social welfare department. Professor Psy Chologos at the University of Bombomes, in an interview has stated juvenile do not handle stress well. He also stressed that separation of parents can be stressful for children. He also mentioned that work load can also be stressful for children in the home.
Required:
(a) What questions would the district mental health officers, police service, and the community will want answers to manage the incidence of juvenile mental illness?
(b) Outline the research design that you would execute to answer the research question(s) identified above.
In: Economics
The population mean annual salary for high school teachers is $64,500 and the standard deviation is $7,800. A random sample of 50 teachers is obtained from this population. 1. is this sample normally distributed? why or why not? 2. What is the probability that the mean salary is less than $61,500? 3.Write the entire STATCrunch or calculator instructions/commands you use to solve this problem. Use the appropriate probability statement (ex. ?(? ≤ 2) = .20) when expressing your answer. 4.Is the probability that the mean salary is less than $61,500 an unusual event? Explain your reasoning.
In: Statistics and Probability
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=531.5μ=531.5 and standard deviation σ=29.6σ=29.6.
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 536 or higher?
ANSWER:
For parts (b) through (d), consider a random sample of 25 students
who took the test.
(b) What are the mean and standard deviation of the sample mean
score x¯x¯, of 25 students?
The mean of the sampling distribution for x¯x¯
is:
The standard deviation of the sampling distribution for x¯x¯
is:
(c) What z-score corresponds to the mean score x¯x¯ of
536?
ANSWER:
(d) What is the probability that the mean score x¯x¯ of these
students is 536 or higher?
ANSWER:
In: Statistics and Probability
As the cancer expert in the Biology Department at your school, NBC news contacts you to discuss the effects of bisphenol A (BPA) exposure on cancer risk. The reporter is very interested as she has read several articles on this topic. In particular she wants you to explain the following:
The reporter has read that in utero exposure increases the risk of mammary cancers in offspring. She wants you to explain the mechanism by which BPA may be increasing the risk of mammary cancers in the offspring.
In: Biology