Brain cells aren’t working right now sorry please help
2 answers:
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Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can say that the true mean is significantly lower than 19 and not support the statement provided that the mean starting age is at least 19
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
For this case we have the sample deviation but since the population deviation is also used we conduct the procedure with the population value.
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is at least 19, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a one side lower test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can say that the true mean is significantly lower than 19 and not support the statement provided that the mean starting age is at least 19