A machine produces 3-inch nails. A sample of 10 nails was selected and the lengths determined.

1A machine produces 3-inch nails. A sample of 10 nails was selected and the lengths determined. The results are as follows: 2.89 2.95 3.00 3.05 2.99 2.96 3.10 3.06 &n bsp; 3.00 3.12 Use these results to test H0: ? = 3 and Ha: ? ? 3 at ? = 0.01. Give the critical region, the computed test statistic, and the conclusion. 2 An insurance company states that 90% of its claims are settled within 5 weeks. A consumer group selected a random sample of 100 of the company’s claims and found 75 of the claims were settled within 5 weeks. Is there enough evidence to support the consumer group’s claim that fewer than 90% of the claims were settled within 5 weeks? Test using the traditional approach with ? = 0.05 3. A researcher wishes to compare two different groups of students with respect to their mean time to complete a particular task. The time required is determined for each group. The data summary is given below. Test the claim at ?= 0.05, that there is no variance. Give the critical region