Please solve the following computer based analysis question fully and show all a
ID: 3250670 • Letter: P
Question
Please solve the following computer based analysis question fully and show all assumptions
1. [12 points]. State the null and alternative hypotheses, and indicate the type of critical region (either two-, lower- or upper-tailed) to test the following claims. (a) A plastics production engineer claims that 99.95% of the plastic tube manufactured by her company meets the engineering specifications requiring the length to exceed 6.5 inches. (b) A chemical and process engineering team claims that the mean temperature of a resin bath is greater than 45 oC. (c) The proportion of start-up software companies that successfully market their product within 3 years of company formation is less than 0.05. (d) A chocolate bar manufacturer claims that, at the time of purchase by a consumer, the mean life of its product is less than 90 days. (e) The designer of a computer laboratory at a major university claims that the standard deviation of time of a student on the network is less than 10 minutes. (f A manufacturer of traffic signals advertises that its signals will have a mean operating life in excess of 2160 hours.Explanation / Answer
a) H0: p <= .9995
Ha: p > 0.9995, where p is the proportion of tubes exceeding length 6.5inches.
upper tailed test.
b) H0: µ <= 45
Ha: µ > 45
upper tailed test.
c) H0: p >= 0.05
Ha: µ < 0.05
lower tailed test.
d) H0: µ >= 90
Ha: µ < 90
lower tailed test.
e) H0: >= 10
Ha: < 10
lower tailed test.
f) H0: µ <= 2160
Ha: µ > 2160
upper tailed test.