The mean number of interceptions thrown by the interception leader in a single NFL season 20.The above claim is being tested by a researcher who wants to know if the number of interceptions has changed since this claim was made. They collected the interception totals of 41 NFL interception leaders and the mean of this sample was 21.3 interceptions with a standard deviation of =4.4 interceptions. The researcher is using a 0.02 level of significance.
a) Write the null and alternative hypotheses for this hypothesis test. Make sure you write the correct parameter, inequality, and values.
b) Create a 98% confidence interval using the data that the researcher found.
c) Can the researcher reject the null hypothesis? Show why or why not.
d) If it turns out that the mean number of interceptions thrown by the interception leader in a single NFL season is not 20 , but has increased to 25,
what kind of error has the researcher made?