Consider a paint-drying situation in which drying time for a test specimen is normally distributed with a 8. The hypotheses Ho: H 75 and H: <75 are to be testem using a random sample of n 25 observations. (a) How many standard deviations (of X) below the null value is x 72.37 (Round your answer to two decimal places.) standard deviations (b) Ifx72.3, what is the conclusion using a 0.017 (Round your answers to two decimal places.) test statistic 2n critical value What can you conclude? O Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 75. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 75. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 75. O Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 75. (e) What is a for the test procedure that rejects Ho when z S-2.767 (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
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Consider a paint-drying situation in which drying time for a test specimen is normally distributed with a 8. The hypotheses Ho: = 75 and H₂: < 75 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 72.37 (Round your answer to two decimal places.)
standard deviations
(b) If x= 72.3, what is the conclusion using a 0.017 (Round your answers to two decimal places.)
test statistic
z=
critical value z =
What can you conclude?
O Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 75.
O Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 75.
O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 75.
O Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 75.
(c) What is a for the test procedure that rejects Ho when zs -2.767 (Round your answer to four decimal places.)
(d) For the test procedure of part (c), what is (70)? (Round your answer to four decimal places.)
B(70) -
(e) If the test procedure of part (c) is used, what n is necessary to ensure that (70) 0.017 (Round your answer up to the next whole number.)
(M
specimens
Transcribed Image Text:Consider a paint-drying situation in which drying time for a test specimen is normally distributed with a 8. The hypotheses Ho: = 75 and H₂: < 75 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 72.37 (Round your answer to two decimal places.) standard deviations (b) If x= 72.3, what is the conclusion using a 0.017 (Round your answers to two decimal places.) test statistic z= critical value z = What can you conclude? O Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 75. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 75. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 75. O Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 75. (c) What is a for the test procedure that rejects Ho when zs -2.767 (Round your answer to four decimal places.) (d) For the test procedure of part (c), what is (70)? (Round your answer to four decimal places.) B(70) - (e) If the test procedure of part (c) is used, what n is necessary to ensure that (70) 0.017 (Round your answer up to the next whole number.) (M specimens
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