In: Statistics and Probability
Answer:-
Given That:-
Three groups of guinea pigs were injected respectively with 0.5mg, 1.0mg and 1.5mg of a tranquillizer, and the following are the number of seconds it took them to fall asleep
1. Compute the test statistic for the most appropriate test correct to 4 significant figures.
Given,
The F - test statistics for the most appropriate test is,
By uisng Excel software, find F - test ststistics with the help of following steps:
1) Import the data
2) Choose ANOVA: Single Factor from Data Analysis in Data menu.
3) Choose Input Range and Column in Groups by.
4) Choose Output Range.
5) Click ok
From the excel output, the F - test statistics for the most appropriate test is 1.6061.
2. Compute the corresponding significance probability correct to four decimal places
The corresponding significant probability (p-value) is,
From Excel output in part(1), the corresponding significant probability (p-value) is 0.2193
3. Suppose a follow-up pairwise comparison tests are being conducted at 10% significance level, what will be the value of the least significance difference(LSD) correct to 2 decimal places.
The Fisher's LSD value is,
First, compute t critical value then find Fisher's LSD value.
The t critical value is,
The sample size is small and two - tailed test. look in the column headed and the row headed in the t distribution table by using degree of freedom within is 27 and the t critical value is 1.703.
The critical value of Fisher's LSD is,
= 1.45
The critical value of Fisher's LSD is 1.45
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