1. Perform the following hypothesis test using thecritical value (traditional) method. Be sure to state thenull and alternative hypotheses, identify the critical value,calculate the test statistic, compare the test statistic to thecritical value, and state the conclusion.   Use Englishif you cannot write the mathematical symbols.

The mean lasting time of 2 competing floor waxes is to becompared. Twenty floors are randomly assigned to test each wax.Wax#1 had a mean time of 3 months, while Wax#2's mean was 2.9months. The population standard deviations are 0.33 and 0.36,respectively. Does the data indicate that Wax#1 lasts longer thanWax#2? Test at a 5% level of significance.

2. Perform the following hypothesis test using thecritical value (traditional) method. Be sure to state thenull and alternative hypotheses, identify the critical value,calculate the test statistic, compare the test statistic to thecritical value, and state the conclusion.   Use Englishif you cannot write the mathematical symbols.

The television habits of 30 children were observed. The samplemean was found to be 48.2 hours per week, with a standard deviationof 12.4 hours per week. Test the claim that the standard deviationfor all children is no more than 16 hours per week. Use 10%confidence.

3. Perform the following hypothesis test using thecritical value (traditional) method. Be sure to state thenull and alternative hypotheses, identify the critical value,calculate the test statistic, compare the test statistic to thecritical value, and state the conclusion.   Use Englishif you cannot write the mathematical symbols.

An airline claims that, on average, 5% of its flights aredelayed each day. On a given day of 500 flights, 6.2% were delayed.Test the hypothesis that the average proportion of delayed flightsis greater than 5%. Use ? = 0.01.