Consider a paint-drying situation in which drying time for a test specimen normally distributed with = 6. The hypotheses Ho: μ = 73 and H₂: 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 = 0.004?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 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.O Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time less than 73.O Do not 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 = 0.004, what is ß(70)? (Round your answer to four decimal places.)8(70) =(d) If the test procedure with α = 0.004 is used, what n is necessary to ensure that B(70) = 0.01? (Round your answer up to the next whole number.)specimensn =(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.)

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with = 6. The hypotheses Ho: μ = 73 and H₂: < 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 = 0.004? 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.) P-value= State the conclusion in the problem context. 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. O Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 73. O Do not 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 = 0.004, what is ß(70)? (Round your answer to four decimal places.) B(70) = (d) If the test procedure with a = 0.004 is used, what n is necessary to ensure that (70) = 0.01? (Round your answer up to the next whole number.) specimens (e) If a level 0.01 test is used with n= 100, what is the probability of a type I error when = 76? (Round your answer to four decimal places.)

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E