7. On paper. A precision instrument is guaranteed to read accurately to within 2 units. A sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. 1. Test the null hypothesis that σ = 0.7 against the alternative σ > 0.7. Use α = 0.05.  2. Find a 90% confidence interval for the population variance.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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7. On paper. A precision instrument is guaranteed to read accurately to within 2 units. A
sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355.
1. Test the null hypothesis that σ = 0.7 against the alternative σ > 0.7. Use α = 0.05. 
2. Find a 90% confidence interval for the population variance. 

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