Scenario 1 “Area Gas Price random sample”
Area Gas Prices – Random Sample Station Minneapolis Price of Regular Unleaded Station St. Paul Price of Regular Unleaded
1 $3.24 36 $3.05
2 $3.03 37 $2.89
3 $3.63 38 $3.84
4 $3.58 39 $3.50
5 $2.94 40 $2.78
6 $3.68 41 $3.51
7 $3.14 42 $3.33
8 $3.36 43 $3.31
9 $3.40 44 $3.20
10 $3.20 45 $3.15
11 $2.85 46 $2.75
12 $3.80 47 $3.79
13 $3.31 48 $3.10
14 $3.78 49 $3.92
15 $3.43 50 $3.31
16 $3.27 51 $3.45
17 $3.18 52 $3.17
18 $3.48 53 $3.44
19 $3.00 54 $2.93
20 $3.36 55 $3.21
21 $3.52 56 $3.37
22 $3.26 57 $3.08
23 $3.04 58 $3.04
24 $3.17 59 $3.24
25 $3.26 60 $3.17
26 $3.27 61 $3.36
27 $3.30 62 $3.25
28 $3.51 63 $3.62
29 $3.80 64 $3.88
30 $3.05 65 $3.02
31 $3.56 66 $3.68
32 $3.53 67 $3.29
33 $2.96 68 $2.81
34 $3.57 69 $3.43
35 $3.58 70 $3.44
Based on the sample of gas prices within the area, the Average cost is 3.32 and the standard deviation is 0.281791 for the sample given.
According to the data provide through the confidence interval calculator for unknown sigma, we have a 95 confident percentage for the average cost of gas ranges between 3.25 and 3.39. With the sample size of 70 which was given, there is about a 0.07 margin for error for the information that was gathered. Now with confidence the Star Tribune can report
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IF we achieved the resulted sample size, we would keep on track to reach the .3 desired margin error. Furthermore, the results would make a strong argument for the switch in coffee brewers. The maximization of the average yield is important in order to maintain the confidence for the new coffee brewer. However, if by the chance the sample size is not able to be acquired, the organization might be better keeping the coffee maker they are currently using instead of investing in a new
Financial statements could be examined with varied degrees, as part of the client acceptance procedures Paige CPA got to perform a horizontal and vertical analysis, and financial ratio analysis of Vinand Petroleum financial statements. These procedures are not as in depth as other procedures used by auditors on financial statements, but these procedures may show areas of concern for auditors. From 2006 to 2007, Vinand’s long term debt tripled and its interest expense paid for the year did not reflect this drastic increase. This could mean that Vinand has taken on a large amount of debt with a low interest rate, which will not bode well for the financial health of the company in the future. In the same breadth,
2) Compute the standard deviation for each of the four samples. Does the assumption of .21 for the population standard deviation appear reasonable?
We know that +/- 1.96 standard deviations from the mean will contain 95% of the values. So, we can get the standard deviation by:
2. In order to determine the average amount spent in November on Amazon.com a random sample of 144 Amazon accounts were selected. The sample mean amount spent in November was $250 with a standard deviation of $25. Assuming that the population standard deviation is unknown, what is a 95% confidence interval for the population mean amount spent on Amazon.com in November?
(21) You took a sample of size 21 from a normal distribution with a known standard deviation, . In order to find a 90% confidence interval for the mean, You need to find.
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
Let’s assume you have taken 1000 samples of size 64 each from a normally distributed population. Calculate the standard deviation of the sample means if the population’s variance is 49.
σA = 0.3 × (0.07)2 + 0.4 × (0.06)2 + 0.3 × (0.08)2 − (0.021)2 = 0.004389,
5. Find the sample variance s2 for the following sample data. Round your answer to the nearest hundredth.
Fry Brothers heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. Assume the population standard deviation for Larry Clark is 1.05 calls per day and 1.23 calls per day for George Murnen. A random sample of 40 days last year showed that Larry Clark made an average of
The patient is 66 year-old male who is brought to St. Joe's ER by BLS after being found with altered mental status at home. The patient reports he used heroin 2 days prior to admission. The patient was found by his brother hallucinatin with bladder or bowel incontinence the morning of presentation. The patient has not eating in approximately 4 days. The patient himself denies having any complaints, but he is a very poor historian. His medical history is significant for prior heroin and cocaine abuse, alcohol abuse of unknown duration, hypertension, cirrhotic liver, he has had an anterior cervical discectomy of C5-C7 with anterior compression in May of 2012 and a closed reduction of C6-C7 billateral dislocation , cholecystectomy in the
Quality Associates, Inc., a consulting firm advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. In one particular application a client gave Quality Associates a sample of 800 observations taken during a time in which the client’s process was operating satisfactorily. The sample standard deviation of this data was 0.21; hence with so much data, the population standard deviation was assumed to be 0.21. Quality Associates then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily. When the process was not operating satisfactorily, corrective action could be taken to eliminate the problem. The design specification indicated the mean for the process should be 12. The hypothesis test suggested by Quality Associates follows.
In December 2002, after a thorough review, the Houston Police Department closed down the DNA analysis and toxicology departments of their HPD crime lab.25 In short, the conditions at the crime lab were so chaotic that physical evidence scheduled to be retested for DNA analysis from 21 cases were found missing making it difficult for independent DNA labs to retest them again.26 Nine HPD forensic analysts were ultimately recommended for suspensions by the Houston’s Police Chief Clarence Bradford. But it was later reduced to written reprimands. Eventually, Houston’s Police Chief Clarence Bradford and Assistant Police Chief Milton Simmons retired.27
Mr. Ludwig is correct in his conclusion that there is something wrong with the company’s performance evaluation process. Employees are being scolded when sales are high and receiving bonuses when sales are low which push budget constraints over estimates. Because of this, I would suggest that the company base performance evaluations on flexible budget variances rather than the activity variances. I feel that this would give the company a better system to gage actual performance versus sales and revenues.
These represent the range of the sale price. Lastly, I used the formula to get the standard deviation 48,945.28, which measures the variability.