The circulation of a city library for September was 157,928 books; for October, 184,211 books. What was the percent of gain for
1 answer:
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Answer:
Critical value
The significance is 5% so then and
then the critical value for this case would be
. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg
P value
The p value would be given
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg
Step-by-step explanation:
Information given
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.
t would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is higher than 10mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
the statistic for this case would be given by:
(1)
Replacing we got:
Critical value
The significance is 5% so then and
then the critical value for this case would be
. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg
P value
The p value would be given
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg