Answer:
Step-by-step explanation:
a) H0:
Ha:
(Two tailed test at 5% significance level)
b) n=30
Mean difference =
Std error of mean =
b) Test statistic t = mean diff/std error = -1.552
df = 30-1 =29
p value=0.0657
c) Since p > 0.05 our signi. level, we accept null hypothesis.
There is no significant difference between the means.
d) Using critical value we find that test statistic is > critical value left
So accept H0
Answer:
partitions.
Step-by-step explanation:
As we know if we have x number of elements we can arrange them in x! ways.
here we have 100 elements so we can arrange them in 100! ways.
Now if we have exactly three parts and 1,2 and 3 are in different parts then let consider 1 goes to part 1, 2 goes to part 2, and 3 goes to part 3. For the remaining 97 elements, we have three options for each element, thus we can arrange the remaining 97 elements in ways/partitions.
each of these partition will contain only three elements.