In an effort to increase production on an automobile part, the factory manager d

Question

In an effort to increase production on an automobile part, the factory manager decides to play music in the manufacturing area. eight workers are selected, and the number of items each produced for a specific day is recorded. After one week of music, the same workers are monitored again. The data are given in the table. Based on the data, test the null hypothesis H0: uD=0, against the alternative hypothesis H1: uD<0. at a= .05 Worker 1 2 3 4 5 6 7 8 Before 6 8 10 9 5 12 9 7 After 10 12 9 12 8 13 8 10 Traditional Method A) find the critical value or value b)compute the test statistics C).State your conclusion in terms of the null hypothesis P-Value Method A) Compute the test statistic b) find the p-value associated with this test statistic c) state your conclusion in terms of the null hypothesis Please Please Please Help me out!

Explanation / Answer

I will assume that since we are provided with s that this is the population standard deviation. I will also assume that the data follows a normal distribution. With these two assumptions I will be able to use a z-test. without these assumptions the z-test would not be valid. Hypothesis Test for mean: Assuming you have a large enough sample such that the central limit theorem holds, or you have a sample of any size from a normal population with known population standard deviation, then to test the null hypothesis H0: µ = ? or H0: µ = ? or H0: µ = ? Find the test statistic z = (xbar - ? ) / (sx / v (n)) where xbar is the sample average sx is the sample standard deviation, if you know the population standard deviation, s , then replace sx with s in the equation for the test statistic. n is the sample size The p-value of the test is the area under the normal curve that is in agreement with the alternate hypothesis. H1: µ > ?; p-value is the area to the right of z H1: µ < ?; p-value is the area to the left of z H1: µ ? ?; p-value is the area in the tails greater than |z| If the p-value is less than or equal to the significance level a, i.e., p-value = a, then we reject the null hypothesis and conclude the alternate hypothesis is true. If the p-value is greater than the significance level, i.e., p-value > a, the significance level then we fail to reject the null hypothesis and conclude that the null is plausible. Note that we can conclude the alternate is true, but we cannot conclude the null is true, only that it is plausible.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.