In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with a mean of 500 and a standard deviation of 10.5. Answer parts ​(a)dash​(d) below. ​(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 489. The probability that a randomly selected medical student who took the test had a total score that was less than 489 is . 1474. ​(Round to four decimal places as​ needed.) ​(b) Find the probability that a randomly selected medical student who took the test had a total score that was between 498 and 511. The probability that a randomly selected medical student who took the test had a total score that was between 498 and 511 is . 3922. ​(Round to four decimal places as​ needed.) ​(c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 523. The probability that a randomly selected medical student who took the test had a total score that was more than 523 is nothing. ​(Round to four decimal places as​ needed.) ​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The events in parts left parenthesis a right parenthesis and left parenthesis b right parenthesis are unusual because their probabilities are less than 0.05. B. The event in part left parenthesis a right parenthesis is unusual because its probability is less than 0.05. C. None of the events are unusual because all the probabilities are greater than 0.05. D. The event in part left parenthesis c right parenthesis is unusual because its probability is less than 0.05.  

DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.

Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:

Required:

1-a. Compute the throughput time for each month.

1-b. Compute the delivery cycle time for each month.

1-c. Compute the manufacturing cycle efficiency (MCE) for each month.

2. Evaluate the company’s performance over the last four months.

3-a. Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE.

3-b. Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE.

. The amount spent in billions for online ads per year is shown below. Construct a time series plot of the data and describe the trend. please help with graphing and explaining

A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years.

(a)Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period.

H₀: μ_d ≥ 0

H_a: μ_d < 0

H₀: μ_d ≠ 0

H_a: μ_d = 0

H₀: μ_d = 0

H_a: μ_d ≠ 0

H₀: μ_d ≤ 0

H_a: μ_d > 0

H₀: μ_d < 0

H_a: μ_d = 0

Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.)

Calculate the p-value. (Round your answer to four decimal places.)

p-value =

b) What is the sample mean domestic airfare (in dollars) for business travel for each year?

current$

previous$

(c) What is the percentage change in mean airfare for the one-year period? (Round your answer to one decimal place.)

?? %

At the end of the year, before distributions, Bombay (an S corporation) has an accumulated adjustments account balance of $18,400 and accumulated E&P of $24,250 from a previous year as a C corporation. During the year, Nicolette (a 40 percent shareholder) received a $24,250 distribution (the remaining shareholders received $36,375 in distributions). (Assume her stock basis is $48,500 after considering her share of Bombay’s income for the year but before considering the effects of the distribution.)

Required:

1. What is the amount and character of gain Nicolette must recognize from the distribution?
2. What is her basis in her Bombay stock at the end of the year?

The year-end adjusted trial balance of the Corporation included the following account balances:

Prepare the closing entries.

34. $________   In preparing the closing entries for the temporary accounts, how much should Retained earnings be credited?

35. $________   In preparing the closing entries for the temporary accounts, how much should Retained earnings be debited?

36. $_________ After closing the accounts, what is the ending balance in Retained Earnings?

A magazine published data on the best small firms in a certain year. These were firms that had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table below shows the ages of the corporate CEOs for a random sample of these firms. 47 58 52 62 56 59 74 63 53 50 59 60 60 57 46 55 63 57 47 55 57 43 61 62 49 67 67 55 55 49 Use this sample data to construct a 90% confidence interval for the mean age of CEO's for these top small firms. Use the Student's t-distribution. (Round your answers to two decimal places.)

One​ year, the mean age of an inmate on death row was 40.3 years. A sociologist wondered whether the mean age of a​ death-row inmate has changed since then. She randomly selects 32 ​death-row inmates and finds that their mean age is 38.5 with a standard deviation of 9.6 Construct a​ 95% confidence interval about the mean age. What does the interval​ imply?

Determine the nature of the hypothesis test. Recall that the mean age of death row inmates is being tested.

Though technology or the​ t-distribution table can be used to find the critical​ value, for the purpose of this​ exercise, use the​ t-distribution table.

RS, a 63 year old college professor, is in the office for a yearly checkup. He feels his is generally healthy, and he doesn’t take any medications. During his physical examination, he tells his prescriber, “I want to try one of the drugs that can help my sex life”. The prescriber assesses RS’s sexual difficulties and prescribes sildenafil.

What teaching is important for RS before he starts the medication?

Follow up

Eleven months later, RS is admitted to the ED with chest pains. After a thorough examination, he is diagnosed with mild coronary disease and is started on Isosorbide dinitrate 40 mg every 12 hours.

A week later RS is back in the ED after falling in his bathroom. He said he suddenly felt dizzy and everything went black. What do you think could have caused this syncope?

One month later RS comes to the office for a follow up appointment and tells the nurse that he wants to try saw palmetto for his prostrate health. He has had a slight increase in difficulty with urination. How will the nurse respond to RS? What assessments are needed?

In 2002, 5.6% of people used marijuana.

This year, a company wishes to use their employment drug screening to test a claim. They take a simple random sample of 1719 job applicants and find that 83 individuals fail the drug test for marijuana. They want to test the claim that the proportion of the population failing the test is lower than 5.6%. Use .10 for the significance level. Round to three decimal places where appropriate.

Hypotheses: H o : p = 5.6 % H 1 : p < 5.6 %

Test Statistic: z =

Critical Value: z =

p-value:

Conclusion About the Null:

A) Reject the null hypothesis

B)Fail to reject the null hypothesis

Conclusion About the Claim:

A)There is sufficient evidence to support the claim that the proportion of the population failing the test is lower than 5.6%

B)There is NOT sufficient evidence to support the claim that the proportion of the population failing the test is lower than 5.6%

C)There is sufficient evidence to warrant rejection of the claim that the proportion of the population failing the test is lower than 5.6%

D)There is NOT sufficient evidence to warrant rejection of the claim that the proportion of the population failing the test is lower than 5.6%

Do the results of this hypothesis test suggest that fewer people use marijuana? Why or why not?