The fan blades on commercial jet engines must be replaced when wear on these parts indicates too much variability to pass inspection. If a single fan blade broke during operation, it could severely endanger a fight. A large engine contains thousands of fan blades, and safety regulations require that variability measurements on the populatio of all blades not exceed ²-0.18 mm². An engine inspector took a random sample of 71 fan blades from an engine. She measured each blade and found a sample variance of 0.31 mm². Using a 0.01 level of significance, is the inspector justified in claiming that all the engine fan blades must be replaced? (a) What is the level of significance? State the null and alternate hypotheses. ⒸM₂²0.181 ₂:0² < 0.18 ⒸM₂²0.181 ₂ ²0.10 ⒸM²0.10 M₁₂ 0²-0.18 Ho: ²0.18 ₂:²0.10 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a normal population distribution. O We assume a binomial population distribution. O We assume a uniform population distribution. We assume a exponential population distribution. (c) Find or estimate the P-value of the sample test statistic OP-value> 0.100 O 0.050 < P-value < 0.100 O 0.025 Palue 0.050 O 0.010 P-value < 0.025 O 0.005 P-value < 0.010 OP-value < 0.005
The fan blades on commercial jet engines must be replaced when wear on these parts indicates too much variability to pass inspection. If a single fan blade broke during operation, it could severely endanger a fight. A large engine contains thousands of fan blades, and safety regulations require that variability measurements on the populatio of all blades not exceed ²-0.18 mm². An engine inspector took a random sample of 71 fan blades from an engine. She measured each blade and found a sample variance of 0.31 mm². Using a 0.01 level of significance, is the inspector justified in claiming that all the engine fan blades must be replaced? (a) What is the level of significance? State the null and alternate hypotheses. ⒸM₂²0.181 ₂:0² < 0.18 ⒸM₂²0.181 ₂ ²0.10 ⒸM²0.10 M₁₂ 0²-0.18 Ho: ²0.18 ₂:²0.10 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a normal population distribution. O We assume a binomial population distribution. O We assume a uniform population distribution. We assume a exponential population distribution. (c) Find or estimate the P-value of the sample test statistic OP-value> 0.100 O 0.050 < P-value < 0.100 O 0.025 Palue 0.050 O 0.010 P-value < 0.025 O 0.005 P-value < 0.010 OP-value < 0.005
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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