Question: 1.A random sample of n = 24 data from a normal distribution with unknown variance produced x = 42.5 and s = 2.6. a.Find a

1.A random sample of n = 24 data from a normal distribution with unknown variance produced x = 42.5 and s = 2.6.

a.Find a 90% confidence interval for the population mean.

b.Interpret the result.

2.A random sample of n = 14 data from a normal distribution with unknown variance produced x = 35.7 and s²= 6.76.

a.Find a 99% confidence interval for the population mean.

b.Interpret the interval.

3.Suppose the following data are selected randomly from a population of normally distributed values with unknown variance:

40 39 45 45

49 41 47 44

56 53 39 42

44 38 57 58

a. Compute the mean and standard deviation.

Observation

1.A random sample of n = 24 data from a normal distribution

3. Suppose the following data are selected randomly from a population of normally distributed values with unknown variance: 40 39 45 45 49 41 47 44 56 53 39 42 44 38 57 58 a. Compute the mean and standard deviation. Observation X X - X ( X - X) 2 1 40 2 39 3 45 4 45 5 49 6 41 7 47 8 44 9 56 10 39 42 44 38 57 16 58 b. Construct a 90% confidence interval to estimate the population mean u. c. Find the lower and upper confidence limits. d. Interpret the results. 4 |Page

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