Twenty percent of the customers of a grocery store use an express checkout. Consider six randomly selected customers.
a) What is the probability that exactly one of the six customers uses the express checkout? (round to three decimal places)
b) What is the probability that none of the six use express checkout? (round to three decimal places)
c) What is the probability that at least two of the customers use express checkout? (round to three decimal places)
d) Letting X denote the number among the six who use express checkout, what is the mean value of X? (round to one decimal place)
In: Statistics and Probability
In: Biology
Nine experts rated two brands of Colombian coffee in a taste-testing experiment. A rating on a 7-point scale ( 1=1= 1 equals extremely unpleasing, 7=7= 7 equals extremely pleasing) is given for each of four characteristics: taste, aroma, richness, and acidity. The following data stored in Coffee contain the ratings accumulated over all four characteristics:
| BRAND | ||
|---|---|---|
| EXPERT | A | B |
| C.C. | 24 | 26 |
| S.E. | 27 | 27 |
| E.G. | 19 | 22 |
| B.L. | 24 | 27 |
| C.M. | 22 | 25 |
| C.N. | 26 | 27 |
| G.N. | 27 | 26 |
| R.M. | 25 | 27 |
| P.V. | 22 | 23 |
a. At the 0.05 level of significance, is there evidence of a difference in the mean ratings between the two brands?
b. What assumption is necessary about the population distribution in order to perform this test?
c. Determine the p-value in (a) and interpret its meaning.
d. Construct and interpret a 95% confidence interval estimate of the difference in the mean ratings between the two brands.
SHOW EXCEL FUNCTIONS USED TO ANSWER.
In: Math
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. Suppose the following data show the average attendance for the 14 teams in the International League. Also shown are the teams' records; W denotes the number of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won.
| Team Name | Division | W | L | PCT | Attendance |
|---|---|---|---|---|---|
| Buffalo Bisons | North | 66 | 77 | 0.462 | 8,817 |
| Lehigh Valley IronPigs | North | 55 | 89 | 0.382 | 8,472 |
| Pawtucket Red Sox | North | 85 | 58 | 0.594 | 9,099 |
| Rochester Red Wings | North | 74 | 70 | 0.514 | 6,911 |
| Scranton-Wilkes Barre Yankees | North | 88 | 56 | 0.611 | 7,143 |
| Syracuse Chiefs | North | 69 | 73 | 0.486 | 5,764 |
| Charlotte Knights | South | 63 | 78 | 0.447 | 4,521 |
| Durham Bulls | South | 74 | 70 | 0.514 | 6,997 |
| Norfolk Tides | South | 64 | 78 | 0.451 | 6,282 |
| Richmond Braves | South | 63 | 78 | 0.447 | 4,455 |
| Columbus Clippers | West | 69 | 73 | 0.486 | 7,796 |
| Indianapolis Indians | West | 68 | 76 | 0.472 | 8,536 |
| Louisville Bats | West | 88 | 56 | 0.611 | 9,156 |
| Toledo Mud Hens | West | 75 | 69 | 0.521 | 8,232 |
(a)
Use α = 0.05 to test for any difference in the mean attendance for the three divisions.
State the null and alternative hypotheses.
H0: μN = μS = μW
Ha: μN ≠ μS ≠ μWH0: Not all the population means are equal.
Ha: μN = μS = μW H0: μN ≠ μS ≠ μW
Ha: μN = μS = μWH0: μN = μS = μW
Ha: Not all the population means are equal.H0: At least two of the population means are equal.
Ha: At least two of the population means are different.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.Do not reject H0. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. Do not reject H0. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.Reject H0. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
(b)
Use Fisher's LSD procedure to determine where the differences occur. Use α = 0.05.
Find the value of LSD for each pair of divisions. (Round your answers to two decimal places.)
North and SouthLSD=North and WestLSD=South and WestLSD=
Find the pairwise absolute difference between sample attendance means for each pair of divisions. (Round your answers to the nearest integer.)
xN − xS
=
xN − xW
=
xS − xW
=
Which attendance means differ significantly? (Select all that apply.)
There is a significant difference in mean attendance between the North division and the South division.There is a significant difference in mean attendance between the North division and the West division.There is a significant difference in mean attendance between the South division and the West division.There are no significant differences.
In: Statistics and Probability
Magi Chen is the managing director of Sun Construction Pty Ltd, a family owned business that provides construction services. As Magi is interested in purchasing some new construction equipment’s for her business, she has approached her local bank for finance. The bank has asked that Magi provide an audited financial statement to assist them in considering her loan application. Magi has approached your audit firm for this service and you have been allocated the task of auditing Sun Construction for the year ended 30 June 2019. You have undertaken a preliminary review of the business and determined that a substantive testing approach would be suitable and appropriate. You are currently preparing an audit program for the revenue cycle. The following information has been obtained from your review: • Magi usually works 120 hours a fortnight. Part of this time is spent travelling between different clients and is not charged to the clients. The remaining time is charged at $60 per hour, regardless of the task undertaken. • Customers typically pay Magi in cash for the work undertaken, except for a small number of regular small-business customers. Magi allows these customers to pay on account by bank transfer on a monthly basis. • Magi supplies each cash customer with a written receipt, prepared manually from a receipt book purchased at the local news-agency. The book contains pre-numbered blank receipts, which are completed in duplicate. Required: For each of the assertions of occurrence, completeness and accuracy, identify a procedure(s) you could use to audit Sun Construction's revenue.
In: Accounting
In: Accounting
1) How does pka (protein kinase a) contribute to different responses. Give three examples.
2) Explain how one signal can promote different responses in different cells. For example, epinephrine causes heart to beat faster while causing liver to release glucose.
In: Biology
List all the casual factors that might contribute to Preschoolers' normal growth and development. Also, describe the natural history of preschoolers' normal growth and development, outlining its four stages. Identify three preventing nursing interventions, one of each level of prevention that could apply to this condition.
In: Nursing
In: Operations Management
Scheme is a dialect of a programming language called Lisp, which was developed at MIT in 1959. Alice 1.0 was released in 2006 from CMU, and Python in 1994. Based on what you know of the Scheme language, describe the major differences between how it works and how Alice or Python works. What advantages might Scheme have over Alice/Python? What advantages might Alice/Python have over Scheme?
In: Computer Science