The null hypothesis(H0) and the alternative
hypothesis(H1) are as follows:
H0: µ = 12
H1: µ < 12
Here population standard deviation is given and the sample size = n
= 4(<30) which is not sufficiently large, so we need to assume
that the sample comes from the normal distribution then we can use
one sample Z-test to test the above hypothesis.
The formula of one sample Z-test statistic is as follows:
Where n = sample size = 4
= sample mean = 11.75
σ = standard deviation = 0.5
H0: µ = 12
Plugging these values in the above z-test statistic formulas, we
get
The test statistic = Z = -1.
Let's find P-value:
For left tailed z-test the P-value is = P(Z < z).
From Excel, p-value = P(Z < z) = P(Z < -1) = "=NORMSDIST(-1)"
= 0.15866
Answer: p-value = 0.15866.
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a...
iew Policies urrent Attempt in Progress A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis HO: = 12 against H 1:< 12 using a random sample of n - 4 specimens. Calculate the P-value if the observed statistic is x - 11.1. Round your final answer to five decimal places (e.g. 98.76543). Statistical...
A textile fiber manufacturer is investigating a new drapery yarn, which the company cdlaims has a mean thread elongation of 12 kllograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho : μ = 12 against H: μ < 12 using a random sample of n-4 sped ens. Calculate the P value r the observed statistic is 1-115. Round your final answer to five decimal places (e.q. 98.76543). the absolute tolerance is +/-0.00001
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho : u = 12 against Hi : j < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is ñ = 11.5. Round your final answer to five decimal places (e.g. 98.76543). 0.02883 A consumer...
9.1.3 GO Tutorial A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho : u = 12 against H :u < 12, using a random sample of 4 specimens. Round your answers to 4 decimal places. (a) What is the type I error probability if the critical region is defined as i <...
Looking for a solution for following problem 10. [15] A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The customer wishes to test this hypothesis that H,: 12 against H: □ < 12. What is the p value if the sample average is 11.25 for a sample of four?
9.2. A textile fiber manufacturer is investigating a new drapery yam, which the company elaims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho:驰012 against Hi: μ < 12, using random sample of four specimens (a) What is the type I error probability if the critical region is defined as <\ 1.5 kilograms? (b) Find β for the case where the true mean elongation is 11.25...
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho :u= 12 against H1 :u < 12, using a random sample of 4 specimens. Round your answers to 4 decimal places. (a) What is the type I error probability if the critical region is defined as ñ < 11.5 kilograms? The type I...
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of0.5 kilograms. The company wishes to test the hypothesis H0: µ = 12 against H1: µ < 12 using a random sample of n = 4 specimens. Calculate the P-value if theobserved statistic is Xbar (average) = 11.25
QUESTION 9 Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting study of this subject, see the article in Technometrics, "A Bayesian Analysis of a Multiplicative Treatment Effect in Weather Modification", Vol. 17, pp. 161-166). The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows: 18.5, 31.2, 20.3, 27.6, 22.8, 19.3, 32.3, 23.9, 21.7, 28.4, 32.4, 27.6, 25.5, 25.2, 27.4, 22.3, 29.7, 35.3, 27.2, 32.1...
QUESTION 9 Cloud seeding has been studied for many decades as a weather modification procedure for an interesting study of this subject, see the article in Technometrics, "A Bayesian Analysis of a Multiplicative Treatment Effect in Weather Modification", Vol. 17, pp. 161-166). The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows: 18.5, 31.2, 20.3, 27.6, 22.8, 19.3, 32.3, 23.9, 21.7, 28.4. 32.4, 27.6. 25.5, 25.2, 27.4. 22.3, 29.7, 35.3, 27.2, 32.1...