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In: Statistics and Probability

a) The 90% confidence interval for the population mean when a random sample of size 16...

a) The 90% confidence interval for the population mean when a random sample of size 16 was taken from a very large population and its mean was calculated to be 22 and its standard deviation was calculated to be 3. (The population had a normal distribution with an unknown standard deviation.) No concluding statement is required.

b) Determine the p-value for testing: H0: µ = 15 Ha: µ > 15 when a random sample of size 18 was taken from a normal population whose standard deviation is unknown and the value of the test statistic equals 2.35.

c) The 98% confidence interval for the population proportion of successes when a random sample of size 80 was taken from a very large population and the number of successes in that sample was counted to be 20. No concluding statement is required.

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