production process is considered to be working properly as long as the variance in the lengths of the parts does not exceed 0.040 squared-units. Suppose the sample variance computed from 23 parts turns out to be s2 = 0.063. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Select the null and the alternative hypotheses to test if the production specification is not being met at a 5% level of significance. Hg: s 0.040; HA: o2 > 0.040 He: o - 0.040; HA: o2 * 0.040 He: of 2 0.e40; HA: o2 < 0.040 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 the p-value. O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O p-value < 0.01 O p-value 2 0.10 O 0.05 s p-value < 0.10 d. Is the production specification violated at the 5% level? O No, since the p-value is more than significance level. O No, since the p-value is less than significance level. O Yes, since the p-value is more than significance level. O Yes, since the p-value is less than significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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 0.040
squared-units. Suppose the sample variance computed from 23 parts turns out to be s? = 0.063. (You may find it useful to reference
the appropriate table: chi-square table or F table)
a. Select the null and the alternative hypotheses to test if the production specification is not being met at a 5% level of significance.
Hg: o2 s 0.040; HA: o2 > 0.040
Hg:
o2
= 0.040; HA: o2 * 0.040
Ha: o2 2 0.040; HA: o2 < 0.040
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 the p-value.
O 0.025 s p-value < 0.05
O 0.01 s p-value < 0.025
O p-value < 0.01
O p-value 2 0.10
O 0.05 s p-value < 0.10
d. Is the production specification violated at the 5% level?
O No, since the p-value is more than significance level.
O No, since the p-value is less than significance level.
O Yes, since the p-value is more than significance level.
O Yes, since the p-value is less than significance level.
Transcribed Image Text: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 0.040 squared-units. Suppose the sample variance computed from 23 parts turns out to be s? = 0.063. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Select the null and the alternative hypotheses to test if the production specification is not being met at a 5% level of significance. Hg: o2 s 0.040; HA: o2 > 0.040 Hg: o2 = 0.040; HA: o2 * 0.040 Ha: o2 2 0.040; HA: o2 < 0.040 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 the p-value. O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O p-value < 0.01 O p-value 2 0.10 O 0.05 s p-value < 0.10 d. Is the production specification violated at the 5% level? O No, since the p-value is more than significance level. O No, since the p-value is less than significance level. O Yes, since the p-value is more than significance level. O Yes, since the p-value is less than significance level.
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