Answer:
a)Null Hypothesis:
Alternative hypothesis:
b)
c)
d) If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14
Step-by-step explanation:
Data given
represent the sample size
represent the confidence level
represent the sample variance obtained
represent the value that we want to test
Part a System of hypothesis
On this case we want to check if the population deviation is lower than 0.14, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
Part b: Calculate the statistic
The statistic is given by:
And replacing we got:
Part c: Calculate the p value
In order to calculate the p value we need to find first the degrees of freedom , on this case 17-1=16. And since is a left tailed test the p value would be given by:
In order to find the p value we can use the following code in excel:
"=CHISQ.DIST(9.878,16,TRUE)"
Part d: Conclusion
If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14