Question

In: Statistics and Probability

Suppose a new production method will be implemented if a hypothesis test supports the conclusion that...

Suppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the mean operating cost per hour.

a. State the appropriate null and alternative hypotheses if the mean cost for the current production method is  per hour.

h0: u [fill in the blank] 230

ha: u [fill in the blank] 230

b. What is the Type I error in this situation? What are the consequences of making this error?

Claiming u [fill in the blank] 230 when the new method [fill in the blank- does or does not] lower costs. A mistake could be implementing the method when it [fill in the blank- does or does not] help.

c. What is the Type II error in this situation? What are the consequences of making this error?

Claiming u [fill in the blank] 230 when the new method [fill in the blank-does or does not] lower costs. This could lead to not implementing a method that [fill in the blank-does or does not] lower costs.

Solutions

Expert Solution

a)

h0: u ≥ 230

ha: u < 230

b) In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is failing to reject a false null hypothesis (also known as a "false negative" finding).

Claiming u [less than] 230 when the new method [does not] lower costs. A mistake could be implementing the method when it [does not]help.

c) Claiming u [greater tna] 230 when the new method [does ] lower costs. This could lead to not implementing a method that [does] lower costs.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Suppose a video teaching method will be adopted if a hypothesis test supports the conclusion that...
Suppose a video teaching method will be adopted if a hypothesis test supports the conclusion that the video teaching method increases the mean grade point average (GPA) of students. Now, the mean GPA of students for the current face-to face teaching method is 3.04. Which of the following is FALSE? Select one: a. At the 0.05 level of significance, the video teaching method will be adopted if the sample mean GPA for the video teaching method is found to be...
Suppose a video teaching method will be adopted if a hypothesis test supports the conclusion that...
Suppose a video teaching method will be adopted if a hypothesis test supports the conclusion that the video teaching method increases the mean grade point average (GPA) of students. Now, the mean GPA of students for the current face-to face teaching method is 3.04. Which of the following is FALSE? Select one: a. At the 0.05 level of significance, the video teaching method will be adopted if the sample mean GPA for the video teaching method is found to be...
Test the following claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the...
Test the following claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. A simple random sample of 60 screws supplied by a certain manufacturer is​ obtained, and the length of each screw is measured. The sample mean is found to be 0.622 in. Assume that the standard deviation of all such lengths is 0.016 ​in, and use a 0.01 significance level to test the claim that...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses both the claim and the significance level alpha. Use the P-value method. A sample of 17 jellybeans with a mean weight of 0.8295 g was taken. Assume that σ is known to be 0.0565 g. Consider a hypothesis test that uses a 0.05 significance level to test the claim that the mean weight of all jellybeans is equal to 0.8550 g...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that test the claim that the population mean is 22°C . Use a 0.05 significance level. Testing Hypothesis Z-Table
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. a) A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. b) In a sample of 167 children selected randomly from one town, it is found that 37 of...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the given data set of x and y values to answer the following questions. x-values 1 1 1 2 2 2 3 3 3 9 y-values 8 9 10 8 9 10 8 9 10 2 (a) Use StatCrunch to find the regression equation, ˆy = b0 + b1x and the sample correlation...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Listed below are ages of actresses and actors from a country at the times that they won a certain award. The data are paired according to the years that they won. Use a 0.01 significance level to test the belief that best actresses are younger than best actors. Does the result suggest a problem...
1.) When the results of a hypothesis test are statistically significant what is the formal conclusion...
1.) When the results of a hypothesis test are statistically significant what is the formal conclusion to the hypothesis test? a.) Accept the null hypothesis b.) Fail to reject the null hypothesis c.) Reject the alternative hypothesis d.) Reject the null hypothesis and accept the alternative hypothesis 2.) When the results of a hypothesis test are not statistically significant what is the formal conclusion to the hypothesis test? a.) Accept the null hypothesis b.) Fail to reject the null hypothesis...
Hypothesis test. Using the p-value method,conduct a formal hypothesis test of the claim that the mean...
Hypothesis test. Using the p-value method,conduct a formal hypothesis test of the claim that the mean RBG of Type 2 diabetics is 13.5 mmol/dl or higher. Use = 0.01. Include the following in your written summary of the results: Your null and alternate hypotheses in the proper format using standard notation. The type of distribution you used ( or normal). The p-value and its logical relationship to (≤ or >). Your decision regarding the null hypothesis: reject or fail to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT