Please comment on if you agree or disagree with this paragraph
and explain why.
In order to evaluate the 3 different offices cycle times you
will use the one-way ANOVA test. You would have to assume that the
samples would have normal distribution. First you would then create
a null-hypothesis and an alternative hypothesis. How would that be
if there is no significant difference in the average cycle time of
the offices and H1 that there is a significant difference in the
average cycle times of the offices. You would then collect the
times for all 3 offices and calculate the grand total and class
total of the times. You then find the SS or sum of squares between
the classes and the DF or degrees of freedom. Then the mean of the
SS, then lastly find the F-ratio. After these steps you could put
together you report to give to your leader, for them to decide what
action to take.
thank you
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Hypothesis testing with ANOVA opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a different caffeine concentration, such that there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later.
The students receive the following arithmetic test scores:
Cola | Black Tea | Coffee | ||
Caffeine Content (mg/oz) | 2.9 | 5.9 | 13.4 | |
85 | 85 | 92 | ∑X2 = 147,641 | |
86 | 89 | 87 | G = 1,755 | |
82 | 82 | 80 | N = 21 | |
75 | 75 | 89 | k = 3 | |
66 | 88 | 96 | ||
78 | 76 | 83 | ||
87 | 82 | 92 | ||
T1 = 559 | T2 = 559 | T3 = 559 | ||
SS1 = 338.86 | SS2 = 338.86 | SS3 = 338.86 | ||
n1 = 7 | n2 = 7 | n3 = 7 | ||
M1 = 79.8571 | M2 = 79.8571 | M3 = 79.8571 |
1.) You plan to use an ANOVA to test the impact of drinks with different caffeine contents on students' test-taking abilities. What is the null hypothesis?
(a) The population mean test score for the cola population is different from the population mean test score for the black tea population.
(b) The population mean test scores for all three treatments are equal.
(c) The population mean test scores for all three treatments are different.
(d) The population mean test scores for all three treatments are not all equal.
2.) Calculate the degrees of freedom and the variances for the following ANOVA table:
Source | SS | df | MS |
Between | - | - | - |
Within | 702.28 | - | - |
Total | 973.14 | - |
The formula for the F-ratio is:
3.) Using words, the formula of the F-ratio can be written as:
4.) Using the data from the ANOVA table given, the F-ratio can be written as:
5.) Calculate for F-ratio:
6.) At the level of significance, what is your conclusion?
(a)You can reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance.
(b)You cannot reject the null hypothesis; caffeine does appear to affect test performance.
(c)You cannot reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance.
(d)You can reject the null hypothesis; caffeine does appear to affect test performance.