Please solve thissssss 5x + 3x = 28
2 answers:
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Answer:
Comparing the p value with the significance level provided we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and a would be a significant difference in the average of the two groups.
Step-by-step explanation:
Assuming the following info
IT Training N mean Stdev
In-house 210 $490 $32
Consultants 180 $500 $48
1) Data given and notation
represent the mean for the sample of In-house
represent the mean for the sample Consutants
represent the population standard deviation for the sample In-house
represent the population standard deviation for the sample Consultants
sample size for the group In-house
sample size for the group Consultants
t would represent the statistic (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
3) Calculate the statistic
With the info given we can replace in formula (1) like this:
4) Statistical decision
First we need to calculate the degrees of freedom given by:
Comparing the p value with the significance level provided we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and a would be a significant difference in the average of the two groups.