In the past, the mean running time for a certain type of flashlight battery has been 8.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: Ho: μ = 8.6 hours H₂:μ> 8.6 hours where μ is the mean running time of the new batteries Explain the meaning of a Type II error. O A. A Type Il error would occur if, in fact, μ = 8.6 hours, but the results of the sampling do not lead to rejection of that fact. OB. A Type Il error would occur if, in fact, µ> 8.6 hours, but the results of the sampling lead to the conclusion that μ< 8.6 hours. OC. A Type Il error would occur if, in fact, μ = 8.6 hours, but the results of the sampling lead to the conclusion that μ> 8.6 hours. O D. A Type Il error would occur if, in fact, μ> 8.6 hours, but the results of the sampling fail to lead to that conclusion.

Mick, a golfer, has a sample driving distance mean of 252.0 yards from 15 drives. He still claims that his average driving distance is 270 yards, and the low average can be attributed to chance. At the 5% significance level, does the data provide sufficient evidence to conclude that Mick's mean driving distance is less than 270 yards? Given the sample data below, accept or reject the hypothesis. Ho H2270 yards; Ha0.05. Do not reject the null hypothesis because the value of z is negative. Do not reject the null hypothesis because |-1.6>0.02.

A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim. Hypothesis test results: μ: Mean of variable Ho: μ=2.6 HA H>2.6 Variable Sample Mean Length 2.75311 Std. Err. DF T-Stat 0.274284 399 0.558217 P-value 0.2885 OA. Fail to reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles OB. Reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles OC. Reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles. OD. Fail to reject Ho. There is not sufficient evidence to support…

A magazine reported that at the top 50 business schools in a​ region, students studied an average of 12.5 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 12.5 hour benchmark. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. State the null and alternative hypotheses. Choose the correct answer below.     A. H0​: α=12.5 H1​: β≠12.5     B. H0​: α≠12.5 H1​: α=12.5     C. H0​: α=12.5 H1​: α≠12.5     D. H0​: μ=12.5 H1​: X≠12.5     E. H0​: μ≠12.5 H1​: X=12.5     F. H0​: β≠12.5 H1​: β=12.5     G. H0​: μ=12.5 H1​: μ≠12.5     H. H0​: X=12.5 H1​: X≠12.5     I. H0​: α≠12.5 H1​: β=12.5     J. H0​: X≠12.5 H1​: X=12.5     K. H0​: μ≠12.5 H1​: μ=12.5     L. H0​: β=12.5 H1​: β≠

A data set includes data from 400 random tornadoes. The display from the technology available below results from using the tornado lengths​ (miles) to test the claim that the mean tornado length is greater than 2.1 miles. Use a 0.05 significance level. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.     Hypothesis test​ results:           μ ​: Mean of variable             H0 ​ : μ=2.1             HA ​ : μ>2.1             Variable Sample Mean Std. Err. DF ​T-Stat ​P-value     Length 2.63613 0.288165 399 1.860497 0.0318                   p   Part 1 Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses

For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.) Researchers state 2.5 hours as the mean amount of television watched by children per night. One parent claims that the mean amount of television watched by children per night is less than 2.5 hours. The parent conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean amount of television watched by children per night is 2.3 hours. Was an error made? If so, what type?

Identify the type I error and the type Il error that correspond to the given hypothesis. The percentage of households with more than 1 pet is less than 65%. Identify the type I error. Choose the correct answer below. A. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually equal to 65%. B. Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. O C. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. O D. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%. Identify the type Il error. Choose the correct answer below. O A. Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65%…

A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.7 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim.

A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.2 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim. Hypothesis test results: p: Mean of variable Ho : µ = 2.2 HA: H> 2.2 Variable Sample Mean Length Std. Err. 2.38563 0.251663 499 0.737613 DF T-Stat P-value 0.2305

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of adults who use the internet is greater than 0.27. Which of the following is a type I error? O A. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. O B. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually different from 0.27. O C. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually different from 0.27. O D. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. Which of the following is a type II error? O A. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. O B. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is…