onsider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: µ = 73 and H: µ < 73 are to b sted 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 = 0.006? 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 =
onsider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: µ = 73 and H: µ < 73 are to b sted 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 = 0.006? 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 =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Paint-Drying Time Analysis**
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with \(\sigma = 7\). The hypotheses \(H_0: \mu = 73\) and \(H_a: \mu < 73\) are to be tested using a random sample of \(n = 25\) observations.
**(a)** How many standard deviations (of \(\bar{X}\)) below the null value is \(\bar{x} = 72.3\)? (Round your answer to two decimal places.)
\[
\text{standard deviations}
\]
**(b)** If \(\bar{x} = 72.3\), what is the conclusion using \(\alpha = 0.006\)?
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.)
\[
z =
\]
\[
P\text{-value} =
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7e43dbe-ab72-46fa-955b-a8f42ce6613a%2Fb20549d5-1460-43d8-a3e7-01c86376c124%2Fs053ual_processed.png&w=3840&q=75)
Transcribed Image Text:**Paint-Drying Time Analysis**
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with \(\sigma = 7\). The hypotheses \(H_0: \mu = 73\) and \(H_a: \mu < 73\) are to be tested using a random sample of \(n = 25\) observations.
**(a)** How many standard deviations (of \(\bar{X}\)) below the null value is \(\bar{x} = 72.3\)? (Round your answer to two decimal places.)
\[
\text{standard deviations}
\]
**(b)** If \(\bar{x} = 72.3\), what is the conclusion using \(\alpha = 0.006\)?
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.)
\[
z =
\]
\[
P\text{-value} =
\]
![(c) For the test procedure with α = 0.006, what is β(70)? (Round your answer to four decimal places.)
β(70) = [____]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7e43dbe-ab72-46fa-955b-a8f42ce6613a%2Fb20549d5-1460-43d8-a3e7-01c86376c124%2F1ktsamr_processed.png&w=3840&q=75)
Transcribed Image Text:(c) For the test procedure with α = 0.006, what is β(70)? (Round your answer to four decimal places.)
β(70) = [____]
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