A replacement part for a machine must be produced within close specifications in order for it to be acceptable to customers. A production process is considered to be working properly as long as the variance in the lengths of the parts does not exceed 0.050 squared-units. Suppose the sample variance computed from 19 parts turns out to bes²= 0.073.(You may find it useful to reference the appropriate table:chi-square tableorFtable)

a.Select the null and the alternative hypotheses to test if the production specification is not being met at a 5% level of significance.

multiple choice 1

• H₀:² 0.050;H_A:²> 0.050
• H₀:²= 0.050;H_A:² 0.050
• H₀:² 0.050;H_A:²< 0.050 b.Calculate the value of the test statistic.(Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test Statistic =

c.Find thep-value.

multiple choice 2

• 0.05p-value < 0.10
• 0.025p-value < 0.05
• 0.01p-value < 0.025
• p-value < 0.01
• p-value0.10 d.Is the production specification violated at the 5% level? multiple choice 3
• Yes, since thep-value is less than significance level.
• No, since thep-value is less than significance level.
• Yes, since thep-value is more than significance level.
• No, since thep-value is more than significance level.