A random sample of sizen= 7 from a normal population produced these measurements:1.3, 3.7, 1.6, 2.2, 3.3, 2.6, 3.0.

a) Calculate the same variance, s^2 (round answer to five decimal places)

b) Construct a 95% confidence interval for the population variance ² (round answer to three decimal places)

(c) TestH₀:²= 0.8 versusH_a:²0.8using= 0.05.State your conclusions.

State the test statistic (round to four decimal places)

State the rejection region (if the test is one-tailed, enter NONE for the unused region. Round your answers to four decimal places)

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