The standard deviation for a population is σ=6.97. A random sample selected from this population gave a mean equal to 49.42. Determine a 95% confidence interval for μ assuming n=196.
Write the null and alternative hypotheses for the following example. Determine if the example is a case of a two-tailed, a left-tailed, or a right-tailed test.
To test whether or not a bank's ATM is out of service for an average of more than 10 hours per month.
H0: μ=10 hours per month, H1: μ>10 hours per month, left-tailed test
≠H0: μ≠10 hours per month, H1: μ=10 hours per month, two-tailed test
H0: μ=10 hours per month, H1: μ<10 hours per month, left-tailed test
≥H0: μ≥10 hours per month, H1: μ<10 hours per month, two-tailed test
H0: μ=10 hours per month, H1: μ>10 hours per month, right-tailed test
Write the null and alternative hypotheses for the following example. Determine if it is a case of a two-tailed, a left-tailed, or a right-tailed test.
To test whether the mean starting salary of college graduates differs from 45,000 dollars per year.
H0:
dollars H1:
dollars
This is a
.
Chapter 09, Section 9.2, Problem 015
Consider H0: μ=72 versus H1: μ>72. A random sample of 16 observations taken from this population produced a sample mean of 76.0. The population is normally distributed with σ=6.
a. Calculate the p-value. Round your answer to four decimal places.
p=
b. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.01?
c. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.025?
A random sample of 65 observations produced a sample mean of 99. Using α=0.1, would you reject the null hypothesis? The population standard deviation is known to be σ=12.