Problem Compilation

Problem Set 1:

         Use 0.05 level of significance.

Problem Set 2:

Problem Set 3:

Problem Set 4:

Consider the hypotheses and information taken from two populations. Let  .

Table 1

   Complete the Analysis Document Report using the information given in Table 1.

Problem Set 5:

A sample of 100 observations taken from a population produced a sample mean equal to 66 and a standard deviation equal to 5.
a. Construct the 90% confidence interval for  .
b. Test the hypotheses using a 0.05 level of significance.

 vs 

Problem Set 6:

A researcher sought to determine whether there are gender differences in susceptibility and resistance to the disease following vaccination.

Problem Set 7:

The management at New Century Bank claims that the mean waiting time for all customers at its branches is less than that at Public Bank, its main competitor. A business consulting firm took a sample of 200 customers from the New Century Bank and found that they waited an average of 4.5 minutes before being served. Another sample of 300 customers taken from the Public Bank showed that these customers waited an average of 4.75 minutes before being served. Assume that the standard deviations for the two populations are 1.2 and 1.5 minutes, respectively. Test at the 2.5% significance level whether the claim of the management of the New Century Bank is true.