Daron purchased a cell phone case from the corner store. Daron paid with a $20 bill. The picture to the left shows his change. H
1 answer:
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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 is not enough evidence to conclude that the claim is true.
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, 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
The degrees of freedom are given by:
Since is a one sided 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 is not enough evidence to conclude that the claim is true.
Answer:
a) z = -1.645
b) z = 0.674
Step-by-step explanation:
We have to find the value of z of a standard normal variable Z that satisfies each of the following conditions.
a) 5% of the observations fall below z
Calculation the value from standard normal z table, we have,
b) 25% of the observations fall above z
Calculation the value from standard normal z table, we have,