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11. (16 pts) Suppose that the mean time from the date of service to the date...

11. (16 pts) Suppose that the mean time from the date of service to the date of payment for one insurance company was 41.4 days last year. To estimate the mean time this year, a sample of 50 claims is selected. The sample mean time from the date of service to the date of payment was = 38.2 days. Suppose the population standard deviation was σ = 7.4 days.

(a) What is the population? What is the sample?

(b) At the 0.01 level of significance, determine whether there is evidence that the population mean this year is less than 41.4 days?

(c) Identify the type of error for your conclusion. Find the probability of error and probability of confidence if it is type I error.

math   Statistics-And-Probability   
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nswer- sample mea n 3g, 2 clau s..χ anel Sample is alreadv aiven e o das H1 populeo mean of hesc vear is greater st taHeic is 2..61 99 5e, eet 나。. valu i 0. enie o PoPxilci^on mean his earis ess than 41.1da ype L error occureand we kn uu)·hat pro bal | ity ofれ el err07 í s nothina but JheJevel of sanificance Hence mol probablity of Confidence İf its type 1 error is Confidence fitis pei exrorl1- r O O Conf . level : gg%.

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