Tests from confidence intervals

Assignment Help Basic Statistics

Reference no: EM13104799

A confidence interval for the population mean tells us which values of mean are plausible (those inside the interval) and which values are not plausible (those outside the interval) at the chosen level of confidence. You can use this idea to carry out a test of any null hypothesis. Ho:mean =Mo starting with a confidence interval: reject Ho if Mo (mean) is outside the interval and fail to reject if Mo is inside the interval.

The alternative hypothesis is always two-sided, Ha: m doesn't = Mo, because the confidence interval extends in both directions from x (bar over x). A 95% confidence interval leads to a test at the 5% significance level because the interval is wrong 5% of the time. In general, confidence level C leads to a test at significance level a = 1-C.

A 95% confidence interval for a population mean is 31.5 + (bar underneath +) 3.4. Use the method described above to answer these questions.

a) With a two-sided alternative, can you reject the null hypothesis that mean = 34 at the 5% (a = 0.05) significance level? Why?

b) With a two-sided alternative, can you reject the null hypothesis that mean = 35 at the 5% significance level? Why?

Reference no: EM13104799

Questions Cloud

Calculating confidence interval on mean : What is the difference between calculating a confidence interval on the mean vs calculating the confidence interval on a proportion?

Determine the net charge on each drop : Two negative, equally charged drops of water, 0.80 mm apart, exert an electrostatic force of 78.5 x 10-9 N on each other. Determine the net charge on each drop. Give your answer in the form "a.bc" pico-Coulombs.

Calculate the annual inventory ordering costs : A manufacturing operation must periodically purchase bulk quantities of machine screws. The operation expects to consume 18,200 boxes of screws over the coming year.

Probability that they will pass the proficiency exam : Suppose that students in a particular school are all very competent. For each individual, the probability that they will pass the proficiency exam (independent of thier classmates) is 0.99

Tests from confidence intervals : A confidence interval for the population mean tells us which values of mean are plausible (those inside the interval) and which values are not plausible (those outside the interval) at the chosen level of confidence.

Determine the magnitude of force between two point charges : Determine the magnitude of the force between two point charges, Q1 = -2e located at (-3.60 cm, +4.10 cm) and Q2 = -8e located at (-0.60 cm, -8.60 cm).

Calculate the annual inventory holding costs : A manufacturing operation must periodically purchase bulk quantities of machine screws. The operation expects to consume 18,200 boxes of screws over the coming year.

Explain official language movement hispanic american culture : Research the official language movement, which is the significant Hispanic American cultural interest, by researching bilingualism in education and politics in United States.

Determine the work done on the gas : An ideal gas is compressed from a volume of 400 cm^3 to a volume of 150 cm^3 slowly and isothermally in a piston-cylinder system. If the final pressure is 100 kPa, determine a) the work done on the gas and b) the heat transfer (specify whether the..

User Account

All Pages