In: Statistics and Probability
In the year 2029, Kimberly is a leading nurse practitioner. Kimberly is interested in increasing the mean number of hours of continuing education opportunities that nurse practitioners have per year. In the past, the mean number of hours of continuing education opportunities per year was 45.3 (assume σ = 8.6). In a random sample of 36 nurse practitioners that entered a new continuing education system, the sample mean number of hours of continuing education opportunities was 48.9. Using α = 0.01, answer the following questions.
a) What is the setup for your null and alternative hypothesis?
b) What is the value of the test statistic, Z*?
c) Using the appropriate level of confidence, what is the confidence interval?
d) What is the interpretation (not your conclusions) of the confidence interval (in the context of the problem) you obtained in part c?
e) What is the p value?
f) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e?
g) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value.
Kimberly is interested in increasing the mean number of hours of continuing education opportunities that nurse practitioners have per year.
Yes, it is increased in new year when compared to past year mean number of hours of continuing education opportunities that nurse practitioners have.