A consumer products company is formulating a new shampoo and is interested in foam height (in...
A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test H0: ? <= 175 mm versus H1: ? > 175 mm, using the results of ? = 10 samples.
a) Find the ?‐value if the sample average is ?̅ 185 mm.
b) What is the probability of Type II error if the true mean foam height is 200 mm and we assume that ? = 0.05?
c) What is the power of the test from part (b)?
Suppose the sample data result in ?̅ =190 mm.
d) What conclusion would you reach in a fixed‐level test with ? = 0.05?
e) How “unusual” is the sample value ?̅ 190 mm if the true mean is 175 mm? That is, what is the probability that you would observe a sample average as large as 190 mm (or larger), if the true mean foam height was 175mm?
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A consumer products company is formulating a new shampoo and is
interested in foam height (in...
A company is formulating a new shampoo and is interested in foam height (in millimeters). Foam...
A company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is normally distributed with standard deviation of 15 millimeters (mm). The company wishes to test H0: mu = 175 (mm) versus H1: mu not equal to 175 (mm). Suppose the sample size is 17 and the sample mean is 169.3. What is the P-value?
1. A consumer products company is formulating a new shampoo and is interested in foam height (in ...
1. A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foanm height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho : μ-175 millimeters vs H1: μ > 175 millimeters, using the results of n-10 samples. a) Find the type I error probability a if the critical region is T > 185 b) Find the boundary point of the acceptance region if α-0.05...
A consumer products company is formulating a new shampoo and is interested in foam height (in...
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test HO: = 175 millimeters versus H 1: > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.03 and n = 25. Round your intermediate values to two decimal...
A consumer products company is formulating a new shampoo and is interested in foam height (in...
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho : u = 175 millimeters versus H :u > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.03 and n = 16. Round your intermediate values to...
5) A consumer products company is formulating a new shampoo and is examining foam height (in...
5) A consumer products company is formulating a new shampoo and is examining foam height (in millimeters) using a specialized test. Ten samples were drawn at random and the mean foam height was calculated to be 185.8 millimeters (sample standard deviation of 20 millimeters). Perform a hypothesis test to determine if the mean foam height is greater than 175 millimeters. Use 5% significance.
9.1.9 * Incorrect. A consumer products company is formulating a new shampoo and is interested in...
9.1.9 * Incorrect. A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho:u= 175 millimeters versus H : > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.01 and n = 16. Round your intermediate values to...
Current Attempt in Progress A consumer products company is formulating a new shampoo and is interested...
Current Attempt in Progress A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test HO: - 175 millimeters versus H 1:> 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.03 and n = 16. Round your intermediate values...
I want the answer rounded to two decimal places. A consumer products company is formulating a...
I want the answer rounded to two decimal places.
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wished to test Upper HO:mu> 175 against H1: mu > 175 millimeters, using the results of n =10 samples. If the sample mean is equal to 190 millimeters, find the value for the test statistic zo. Round your...
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1. A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foanm height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho : μ-175 millimeters vs H1: μ > 175 millimeters, using the results of n-10 samples. a) Find the type I error probability a if the critical region is T > 185 b) Find the boundary point of the acceptance region if α-0.05...
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test HO: = 175 millimeters versus H 1: > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.03 and n = 25. Round your intermediate values to two decimal...
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho : u = 175 millimeters versus H :u > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.03 and n = 16. Round your intermediate values to...
5) A consumer products company is formulating a new shampoo and is examining foam height (in millimeters) using a specialized test. Ten samples were drawn at random and the mean foam height was calculated to be 185.8 millimeters (sample standard deviation of 20 millimeters). Perform a hypothesis test to determine if the mean foam height is greater than 175 millimeters. Use 5% significance.
9.1.9 * Incorrect. A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho:u= 175 millimeters versus H : > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.01 and n = 16. Round your intermediate values to...
Current Attempt in Progress A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test HO: - 175 millimeters versus H 1:> 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.03 and n = 16. Round your intermediate values...
I want the answer rounded to two decimal places.
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wished to test Upper HO:mu> 175 against H1: mu > 175 millimeters, using the results of n =10 samples. If the sample mean is equal to 190 millimeters, find the value for the test statistic zo. Round your...
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...
Question 7 The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.9 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi. Statistical Tables and Charts (a) Calculate the P-value. Round your answer to 3 decimal places (e.g. 98.765). If a = 0.05, should the fiber be judged...
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