You took independent random samples of 20 students at CityCollege and 25 students at SF State. You asked each student howmany sodas they drank over the course of a year. The sample mean atCity College was 80 and the sample standard deviation was 10. AtState the sample mean was 90 and the sample standard deviation was15. Use a subscript of c for City College and a subscript of s forState.
Calculate a point estimate of the difference between the twopopulation means.
Calculate the appropriate number of degrees of freedom to usefor your analysis. Hint: Remember that you always round down fordegrees of freedom if you get a decimal answer. Note: To calculatethis answer you must use the formula which assumes unequalvariances.
Determine a 95% confidence interval for the difference betweenthe two population means.
Give the null and alternative hypotheses for a hypothesis testto test to see if there is a statistically significant differencein the population means between students at the two schools.
State α using the confidence level in question 3.
Calculate the value of the test statistic.
Find a range for the p-value.
What is your conclusion in statistical terms?
Explain the meaning of this conclusion in business terms.
What statistical conclusion would you reach using the confidenceinterval approach? Explain how you reach this conclusion. Is it thesame conclusion you reached using the p-value approach?
