In: Statistics and Probability
1/ You measure 34 turtles' weights, and find they have a mean
weight of 67 ounces. Assume the population standard deviation is
4.7 ounces. Based on this, construct a 90% confidence interval for
the true population mean turtle weight.
Give your answers as decimals, to two places
( )± ( ) ounces
2/ Assume that a sample is used to estimate a population mean
μμ. Find the margin of error M.E. that corresponds to a
sample of size 6 with a mean of 42.5 and a standard deviation of
11.5 at a confidence level of 80%.
Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.
3/The effectiveness of a blood-pressure drug is being
investigated. An experimenter finds that, on average, the reduction
in systolic blood pressure is 56.7 for a sample of size 664 and
standard deviation 11.2.
Estimate how much the drug will lower a typical patient's systolic
blood pressure (using a 95% confidence level).
Enter your answer as a tri-linear inequality accurate to one
decimal place (because the sample statistics are reported accurate
to one decimal place).
( ) < μμ < ( )
4/ You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures:
21.6 |
29.6 |
27.7 |
32.7 |
23.4 |
33.9 |
26.3 |
Find the 80% confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to two decimal places (because the sample data are
reported accurate to one decimal place).
80% C.I. =
Answer should be obtained without any preliminary rounding.
Answer should be obtained without any preliminary rounding.