Question

# The following n = 10 observations are a sample from a normal population. 7.4    7.0    6.5    7.5    7.6    6.2    6.8  &nbs

The following n = 10 observations are a sample from a normal population.

7.4    7.0    6.5    7.5    7.6    6.2    6.8    7.7    6.4    6.9

(a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.)

 mean standard deviation

(b) Find a 99% upper one-sided confidence bound for the population mean μ. (Round your answer to three decimal places.)

(c) Test H0: μ = 7.5 versus Ha: μ < 7.5. Use α = 0.01.

t =

State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)

 t > t <

a) mean =7.00

standard deviation =0.5333

b)

 std error sx=s/√n= 0.1687
 for 99% upper CI; and 9 df, critical t= 2.8214 margin of error E=t*std error                            = 0.476
 Upper bound=sample mean+E= 7.476

c)

 test stat t='(x-μ)*√n/s= -2.965

rejection region

t > NONE

t<-2.821

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