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4-116 Suppose we wish to test the hypothesi s Ho: u WILEY versus the alternative : > 85 where T-1...
The drying time of a certain type of paint under specified test conditions is known to be normall...
The drying time of a certain type of paint under specified test conditions is known to be normally distributed with mean value 75 min and standard deviation 9 min. Chemists have proposed a new additive designed to decrease average drying time. It is believed that drying times with this additive will remain normally distributed with σ = 9. Because of the expense associated with the additive, evidence should strongly suggest an improvement in average drying time before such a conclusion...
A test is made of Ho: μ-20 versus H 1 : μ * 20. A sample...
A test is made of Ho: μ-20 versus H 1 : μ * 20. A sample of size n-58 is drawn, and x-1 The population standard deviation isa . Part 4 out of 4 Sub Determine whether to reject Ho. Since the test statistic (select) in the critical region, we (select) α-0.05 level. Tim - Ho at the Since the test statistic (select) in the critical region, we (select) α 0.01 level. -Ho at the
The drying time of a certain type of paint under specified test conditions is known to be normally distributed with mean value 75 min and standard deviation 9 min. Chemists have proposed a new additiv...
The drying time of a certain type of paint under specified test conditions is known to be normally distributed with mean value 75 min and standard deviation 9 min. Chemists have proposed a new additive designed to decrease average drying time. It is believed that drying times with this additive will remain normally distributed with σ = 9. Because of the expense associated with the additive, evidence should strongly suggest an improvement in average drying time before such a conclusion...
2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of...
2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of n 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to 2.35 (b)o 3.55 (c) 2.00 (d) to 1.55
For a given population, suppose we wish to test H0:μ=20 versus H0:μ=20 at α=0.1 . If...
For a given population, suppose we wish to test H0:μ=20 versus H0:μ=20 at α=0.1 . If we plan to take a random sample of 16 observations from a normally distributed population with unknown variance, then what is the critical value (or rejection point) for this test?
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.30 and that x= 5.23. (Use α-0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses Hai μ < 5.5...
Suppose that X ~ POI(μ), where μ > 0. You will need to use the following fact: when μ is not too close to 0, VR ape x N(VF,1/4). (a) Suppose that we wish to test Ho : μ-710 against Ha : μ μί a...
Suppose that X ~ POI(μ), where μ > 0. You will need to use the following fact: when μ is not too close to 0, VR ape x N(VF,1/4). (a) Suppose that we wish to test Ho : μ-710 against Ha : μ μί are given and 10 < μι. m, where 140 and Using 2 (Vx-VHo) as the test statistic, find a critical region (rejection region) with level approximately a (b) Now suppose that we wish to test Ho...
2. A randon sample XI, X. is drawn frotn Normal(μ, σ2), where-oo < μ < oo and 0 < σ2 < x. To test the null hypothesis Ho : σ2-1 against the alternative H1: σ2 > 1, we have designed the...
2. A randon sample XI, X. is drawn frotn Normal(μ, σ2), where-oo < μ < oo and 0 < σ2 < x. To test the null hypothesis Ho : σ2-1 against the alternative H1: σ2 > 1, we have designed the following test Reject Ho if S>k where S2 = "LE:-1(x,-X)2, k ís a constant. Noticed that (n-1) distribution with degree of freedom 1 has a (a) Determine k so that the test will have size a. (b) Use k...
A test is made of Ho: μ-20 versus H 1 : μ * 20. A sample of size n-58 is drawn, and x-1 The population standard deviation isa . Part 4 out of 4 Sub Determine whether to reject Ho. Since the test statistic (select) in the critical region, we (select) α-0.05 level. Tim - Ho at the Since the test statistic (select) in the critical region, we (select) α 0.01 level. -Ho at the
2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of n 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to 2.35 (b)o 3.55 (c) 2.00 (d) to 1.55
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.30 and that x= 5.23. (Use α-0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses Hai μ < 5.5...
Suppose that X ~ POI(μ), where μ > 0. You will need to use the following fact: when μ is not too close to 0, VR ape x N(VF,1/4). (a) Suppose that we wish to test Ho : μ-710 against Ha : μ μί are given and 10 < μι. m, where 140 and Using 2 (Vx-VHo) as the test statistic, find a critical region (rejection region) with level approximately a (b) Now suppose that we wish to test Ho...
2. A randon sample XI, X. is drawn frotn Normal(μ, σ2), where-oo < μ < oo and 0 < σ2 < x. To test the null hypothesis Ho : σ2-1 against the alternative H1: σ2 > 1, we have designed the following test Reject Ho if S>k where S2 = "LE:-1(x,-X)2, k ís a constant. Noticed that (n-1) distribution with degree of freedom 1 has a (a) Determine k so that the test will have size a. (b) Use k...
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