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Answer 2
The, P-Value is less than the significance level, so the null hypothesis gets rejected. Hence, it can be conclude that, demand and unit price are related.
Answer 3
The formulas of the completely randomized design is,
|
Source of variation |
Sum of squares |
Degrees of freedom |
Mean square |
F-Statistic |
|
Between Treatments |
SSTR |
k-1 |
SSTR/k-1 |
(SSTR/k-1)/(SSE/n-k) |
|
Within Treatments |
SSE |
n-k |
SSE/n-k |
|
|
Total |
SST |
n-1 |
The calculations are done in excel, the calculated values are shown below,
|
Source of variation |
Sum of squares |
Degrees of freedom |
Mean square |
F-Statistic |
|
Between Treatments |
390.58 |
2 |
195.29 |
25.89 |
|
Within Treatments |
158.4 |
21 |
7.54 |
|
|
Total |
548.98 |
23 |
The, P-Value is 0.000. So, the P-value is less than the 5% level of significance. Thus, the null hypothesis of the test gets rejected. Hence, there is statistically significance difference among the means of the three populations.
Answer 4
Y= 0.8051+0.4977 (X1) + 0.4733 (X2)
The calculations are done in excel, the value of test statistic is 80.12 and the corresponding P-Value is 0.000. The P-Value is less than the 5% level of significance, so the null hypothesis of the test gets rejected. Hence, there is statistically sufficient evidence to conclude that, there is a significant relationship between all independent variables and dependent variables.
The null hypothesis for the test is slope for X1 is 0 and the alternate hypothesis is slope is different from 0.The calculations are done in excel, the value of the t-test statistic is, 1.078 and the corresponding P-value at 4 degree of freedom and two tailed test is 0.3417.
The, P-Value is greater than the significance level, so the null hypothesis does not gets rejected. Hence, it can be conclude that, slope of X1 is not different from 0.The null hypothesis for the test is slope for X2 is 0 and the alternate hypothesis is slope is different from 0.The calculations are done in excel, the value of the t-test statistic is, 12.23 and the corresponding P-value at 4 degree of freedom and two tailed test is 0.0003.
The, P-Value is less than the significance level, so the null hypothesis gets rejected. Hence, it can be conclude that, slope of X1 is different from 0.The estimated slope for advertising sports is 0.4733, the slope indicates that as the advertising sports increases by 1 the mobile phone sold per day will increases by 0.4733 percentages.
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