State the null and alternative hypotheses, and indicate the type of critical reg
ID: 3235965 • Letter: S
Question
State the null and alternative hypotheses, and indicate the type of critical region either two-, lower- 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 degree C. (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: The plastic tube manufactured by her company meets the engineering specification requireing the length to not exceed 6.5 inches.
H1: The plastic tube manufactured by her company meets the engineering specification requireing the length to exceed 6.5 inches.
Right tail test
b)
H0: The mean temperature o the resin bath is not greater than 45C.
H1: The mean temperature o the resin bath is greater than 45C.
Right tail test
c)
H0: The proportion of start-up software companies that successfully market their product with in 3 years of company formation is not less than 0.05.
H1: The proportion of start-up software companies that successfully market their product with in 3 years of company formation not less than 0.05.
Left tail test
d)
H0: The time of purchase by a consumer, the mean life of its product is not less than 90 days
H1: The time of purchase by a consumer, the mean life of its product is less than 90 day
Left tail test
e)
H0: The SD of time of a student on the network is not less than 10 minutes
H1: The SD of time of a student on the network is less than 10 minutes
Left tail test
f)
H0: The signal will have a mean operating life in not excess of 2160 hours
H1: The signal will have a mean operating life in excess of 2160 hours
Right tail test
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