A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their competition scores were recorded before and after the training. The results are shown below. Use a 0.01 significance level to test the claim that the training technique is effective in rising the gymnasts’ scores.
|
Subject |
A |
B |
C |
D |
E |
F |
G |
|
Before |
9.6 |
9.7 |
9.7 |
9.1 |
9.7 |
9.2 |
9.1 |
|
After |
9.7 |
9.9 |
9.7 |
9.3 |
9.8 |
9.8 |
9.3 |
In: Statistics and Probability
We are interested to see whether the level of the minimum wage affects employment. In order to study this issue they got data from a random sample of 330 California fast food restaurants before and after an increase in the Californian minimum wage from $3.30 to $4.10 per hour. The change in full time equivalent employees per restaurant in the sample before and after the increase was 0.8 with a variance of 77.5.
Test whether this suggests the increase in the minimum wage had an effect on employment.
In: Statistics and Probability
a. A buffer solution contains 0.274 M
NH4Br and
0.379 M NH3
(ammonia). Determine the pH
change when 0.103 mol
HBr is added to 1.00 L of the
buffer.
pH after addition − pH before addition = pH change
=
b. A buffer solution contains 0.432 M
NaH2PO4 and
0.209 M
K2HPO4.
Determine the pH change when
0.113 mol KOH is added to
1.00 L of the buffer.
pH after addition − pH before addition = pH change
=
In: Chemistry
In: Chemistry
what is your evaluation of sirius xm's finanancial performance from 2010 to 2013?
In: Finance
q1. give an introduction and conclusion about
Germany economy from 1980 to 2010
In: Economics
Why did the Dodd-Frank Act (2010) not successfully regulate the financial sector?
In: Finance
. Business owners often rely on experts in search engine optimization to increase the number of people who visit the business website. A study was conducted of 7 comparable small businesses before and after implementing a plan for search engine optimization. The number of visitors per day for each business, based on the day before and after implementing the plan, is shown.
|
Business number |
Number of daily visitors before optimization |
Number of daily visitors after optimization |
|
1 |
5389 |
5883 |
|
2 |
5061 |
6189 |
|
3 |
5468 |
5430 |
|
4 |
5579 |
6106 |
|
5 |
5733 |
5534 |
|
6 |
4812 |
5737 |
|
7 |
5834 |
5990 |
(a) Explain the requirements that the data must meet to conduct the hypothesis test described in (b).
(b) Specify the hypotheses for a t-test to see whether the mean number of visitors differs before and after search engine optimization.
(b) Conduct a hypothesis test with a = 0.05, estimating the t-statistic and the p-value.
(c) Report:
the level of significance,
the type and value of the test statistic (including degrees of freedom if appropriate),
the p-value (exact values if possible, or a range of possible values), and
the implications for the null hypothesis.
Do the results indicate that search-engine optimization results in an immediate increase (next day) in the number of visitors to the website?
In: Statistics and Probability
A study was conducted to investigate whether compliance training affected the productivity of the company’s administrative staff. A random sample of 30 administrative staff underwent compliance training. Download and open the Accounts.xlsx file in Excel. This file contains the number of accounts processed by each staff member both in the week before compliance training and again in the week after compliance training.
Use Excel to carry out a suitable test to address the following research question: Is there a difference between the average number of accounts processed by administrative staff before and after compliance training?
|
before |
after |
|
54 |
65 |
|
44 |
64 |
|
54 |
60 |
|
54 |
54 |
|
45 |
54 |
|
42 |
72 |
|
54 |
61 |
|
52 |
61 |
|
52 |
71 |
|
50 |
48 |
|
55 |
65 |
|
47 |
69 |
|
48 |
61 |
|
50 |
59 |
|
45 |
61 |
|
51 |
64 |
|
48 |
57 |
|
54 |
60 |
|
48 |
64 |
|
46 |
63 |
|
49 |
59 |
|
43 |
61 |
|
52 |
60 |
|
56 |
67 |
|
52 |
61 |
|
49 |
65 |
|
47 |
63 |
|
53 |
59 |
|
52 |
64 |
|
49 |
59 |
(1 mark) The most appropriate test for these data is AnswerA two-sample t-testA paired t-test
(1 mark) Referring to the histograms provided, to check the assumption(s) for this test we would use AnswerThe number of accounts processed the week before compliance training (Graph A)The number of accounts processed the week after compliance training (Graph B)The number of accounts processed the week before compliance training and the week after compliance training (Graphs A and B)Differences between the numbers of accounts processed the week before and the week after compliance training (Graph C)None of the other answers
For the remaining questions you may assume that any relevant assumptions have been met.
The absolute value of the test statistic is equal to (type your answer with 3 dp) Answer
(1 mark) The degrees of freedom is equal to (type your answer as an integer) Answer
(1 mark) The p-value is larger than 0.05 Answertruefalse
The test indicates that the number of accounts processed: Answer
In: Statistics and Probability
the prepaid balance in the prepaid insurance account
represent the remaining balance of two year policy purchased in
April 2010
trial balance unjusted 31 October 2011
prepaid insurance 9350
the office furniture was purchased in March 1 2010 and has
estimated useful life of two years of use it is expected that the
furniture will be worthless
office furniture October 31 2011 unjusted trial balance
61440
what are the adjustments t for this two
transactions
In: Accounting