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Question: Fuel Consumption and Cars The joint venture ContiTechJiebao Power Transmission Systems Ltd. produces many makes and models of automobile drive belts. One popular poly V-belt is designed to have length 1050 mm. To ensure that the belts meet this specification, 18 are randomly selected from the assembly line every hour and carefully measured. If there is any evidence that the population mean length is different from 1050 mm, the entire line is shut down for inspection.
a. Assume the distribution of belt lengths is normal and σ = 3.7 mm. In a two-sided hypothesis test of H0: μ = 1050 versus H0: μ = 1050, find the critical values in the X¯ world. Use a = 0.01.
b. In a sample of 18 belts, suppose x¯ = 1049. Should the assembly line be shut down? Justify your answer using the Z distribution and the appropriate X distribution.
Suppose that the amounts that students at a college spend on textbooks this semester have a normal curve with mean µ = $360 and standard deviation s = $120.
What is the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit?
The Appliance Center sells a variety of electronics equipments and home appliances. For last four years the following quarterly sales (in $ millions) were recorded.
What distribution would seem most appropriate to model the TTR data - If your suggested model were valid what proportion of TTR values is likely to exceed the maximum allowable?
Statistics are sometimes misinterpreted.One common way is when relationships that exist at a group level are assumed to hold at the individual level.
Redheads are rumored to have fiery tempers and you think it might affect their grades. Is there any significant difference in grades between blondes, brunettes and redheads?
Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.
suppose x and y are continuous random variables with joint pdf fx y 24xy 0 lt x 0 lt y and x y lt 1 and zero
What is the relative frequency of classical CDs with a playing time of X less than 49 minutes? That is, find the relative frequency of the event X
Consider given Figure, which shows the assembly of a shaft in a bearing.- Find the probability of the assembly having a clearance fit.
Seatbelts II. Police estimate that 80% of drivers now wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use.
Develop a single-sample plan for which AQL = .02 and LTPD = .07 in the case α = .05, ß = .10. Once values of n and c have been determined, calculate the achieved values of a and b for the plan.
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