1) Find the probabilityP(-1.14z

2)A sample of39students enroll in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement. The mean number of points improved was. Assume the standard deviation isand letbe the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses versus. Compute theP-value.

3)Using theztable, find the critical value (or values) for a two-tailed test.

4)A bottler of drinking water fills plastic bottles with a mean volume of1010milliliters (mL) and standard deviationThe fill volumes are normally distributed. What is the probability that a bottle has a volume greater than

5)A test is made of versus. A sample of size is drawn, and. The population standard deviation is. Compute the value of the test statisticzand determine ifH₀is rejected at the level.

6)The prices (in dollars) for a graphing calculator are shown below for 8 online vendors. Estimate the true mean price for this particular calculator with confidence. 143 144 155 127

139 153 136 135

7)Find the area under the standard normal curve to the left ofz=2.1.

8)5squirrels were found to have an average weight of8.9ounces with a sample standard deviation is0.9. Find the confidence interval of the true mean weight.

9)The mean annual income for people in a certain city (in thousands of dollars) is43, with a standard deviation of37. A pollster draws a sample of36people to interview. What is the probability that the sample mean income is less than48(thousands of dollars)?

10)Determine whether the outcome is a Type I error, a Type II error, or a correct decision. A test is made ofH₀:=9 versusH₁:9. The true value ofis10andH₀is rejected.

11)