PLEAE HELP I WILL GIVE BRAINLIST can someone please help with 4,5,6 and use the box method on a paper please I need this ( show
work ) please!
1 answer:
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Answer:
a)
Since is a one-side upper test the p value would be:
If we compare the p value and the significance level given we see that
so we can conclude that we reject the null hypothesis, and we can conclude that the true mean is higher than 125
b) We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.
Step-by-step explanation:
Data given and notation
represent the mean for the sample
represent the standard deviation for the population
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)
Part a
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the true mean is higher than 125:
Null hypothesis:
Alternative hypothesis:
We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Calculate the P-value
Since is a one-side upper test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we reject the null hypothesis, and we can conclude that the true mean is higher than 125
Part b
We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.