7. Incorrect. The answer is true, not false

The test can be formulated as follows

H₀: μ=0.060

H_a: μ≠0.060, so a two-tailed test is required.

Under the H₀, T=(`X- μ)(n-1)^0.5/S=(0.063-0.060)*9^0.5/0.003=3.

For a two-tailed test at 0.05 level of significance the decision rule is to reject H₀ if T lies outside the interval μ -t_0.995 to t_0.995 which for 10-1 degrees of freedom is the interval -3.25 to 2.26. Reject H₀ otherwise. Since T=3, we reject H₀ at 5% level.

For a two-tailed test at 0.01 level of significance the decision rule is to reject H₀ if T lies outside the interval -t_0.975 to t_0.975 which for 10-1 degrees of freedom is the interval -2.26 to 3.25. Reject H₀ otherwise. Since T=3, we fail to reject H₀ at 1% level.