below the null value is x = 72.3? (Round your answer to two decima =ing α = 0.003? the P-value. (Round your test statistic to two decimal places and yo ext. here is sufficient evidence to conclude that the mean drying time is not sufficient evidence to conclude that the mean drying time is less here is not sufficient evidence to conclude that the mean drying time sufficient evidence to conclude that the mean drying time is less tha 3, what is (70)? (Round your answer to four decimal places.) is used, what n is necessary to ensure that (70) = 0.017? (Round yo 00, what is the probability of a type I error when = 76? (Round yo

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider a paint-drying situation in which drying time for a test specimen is normally distributed with = 6. The hypotheses Ho: μ = 73 and
Ha: μ< 73 are to be tested using a random sample of n = 25 observations.
(a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.)
standard deviations
(b) If x=
= 72.3, what is the conclusion using a = 0.003?
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal
places.)
z =
P-value =
State the conclusion in the problem context.
O Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 73.
O Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 73.
Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 73.
Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 73.
(c) For the test procedure with a = 0.003, what is ß(70)? (Round your answer to four decimal places.)
B(70) =
(d) If the test procedure with a = 0.003 is used, what n is necessary to ensure that $(70) = 0.01? (Round your answer up to the next whole
number.)
n =
specimens
(e) If a level 0.01 test is used with n = 100, what is the probability of a type I error when μ = 76? (Round your answer to four decimal
places.)
Transcribed Image Text:Consider a paint-drying situation in which drying time for a test specimen is normally distributed with = 6. The hypotheses Ho: μ = 73 and Ha: μ< 73 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) standard deviations (b) If x= = 72.3, what is the conclusion using a = 0.003? Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 73. O Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 73. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 73. Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 73. (c) For the test procedure with a = 0.003, what is ß(70)? (Round your answer to four decimal places.) B(70) = (d) If the test procedure with a = 0.003 is used, what n is necessary to ensure that $(70) = 0.01? (Round your answer up to the next whole number.) n = specimens (e) If a level 0.01 test is used with n = 100, what is the probability of a type I error when μ = 76? (Round your answer to four decimal places.)
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