### Experiment on Optimum Power and Time Settings for Microwave Popcorn**Josh's Experiment**Josh conducted an experiment to determine the optimal power and time settings for microwave popcorn. His objective was to deliver popcorn with fewer than 11% of the kernels left unpopped, on average. Through his experiment, he identified that using power level 9 for 4 minutes was the best combination.---**Part a**Josh concluded that this optimal popping method achieved his goal of fewer than 11% of the kernels left unpopped. However, if the method does not perform as well as Josh concluded, what type of error did he make?- Type I error- ✔️ Type II error---**Part b**To confirm the success of his selected method, Josh popped 8 more bags of popcorn (selected at random) using the same settings. All bags were of high quality, with the following percentages of unpopped kernels:- 12.4%- 2.9%- 8.6%- 8.1%- 13.4%- 3.2%- 2.7%- 9.5%Does this sample provide evidence that Josh's method met his goal of an average of fewer than 11% unpopped kernels, assuming a significance level (α) of 0.05?**Hypotheses**Choose the correct null and alternative hypotheses:- **A.** H₀: μ = 11, Hₐ: μ < 11 ✔️- **B.** H₀: μ ≠ 11, Hₐ: μ = 11- **C.** H₀: μ = 11, Hₐ: μ ≠ 11- **D.** H₀: μ > 11, Hₐ: μ = 11- **E.** H₀: μ < 11, Hₐ: μ = 11- **F.** H₀: μ = 11, Hₐ: μ > 11**Calculations**Calculate the test statistic:\[ t = \_\_\_ \]*Round to three decimal places as needed.*

Name: ### Experiment on Optimum Power and Time Settings for Microwave Popco
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Description: ### Experiment on Optimum Power and Time Settings for Microwave Popcorn**Josh's Experiment**Josh conducted an experiment to determine the optimal power and time settings for microwave popcorn. His objective was to deliver popcorn with fewer than 11%

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combination. Complete parts a) and b) below. a) He concluded that this popping method achieved the goal of fewer than 11% of the kernels left unpopped. If it really does not work that well, what kind of error did Josh make? O Type Il error O Type I error b) To be sure that the method was successful, he popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels shown below. 12.4, 2.9, 8.6, 8.1, 13.4, 3.2, 2.7, 9.5 O Does this provide evidence that he met his goal of an average of fewer than 11% unpopped kerels? Assume a= 0.05. Choose the correct null and alternative hypotheses. VA. Họ: =11 Hạ: u<11 OC. Ho: u= 11 Ha: H#11 O B. Họ: u#11 Hμ 1 O D. Ho: u= 11 HA: u>11 O E. Hg: u<11 HA: u=11 OF. Ho: u>11 Ha: u =11 Calculate the test statistic. t=0 (Round to three decimal places as needed.)

combination. Complete parts a) and b) below. a) He concluded that this popping method achieved the goal of fewer than 11% of the kernels left unpopped. If it really does not work that well, what kind of error did Josh make? O Type Il error O Type I error b) To be sure that the method was successful, he popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels shown below. 12.4, 2.9, 8.6, 8.1, 13.4, 3.2, 2.7, 9.5 O Does this provide evidence that he met his goal of an average of fewer than 11% unpopped kerels? Assume a= 0.05. Choose the correct null and alternative hypotheses. VA. Họ: =11 Hạ: u<11 OC. Ho: u= 11 Ha: H#11 O B. Họ: u#11 Hμ 1 O D. Ho: u= 11 HA: u>11 O E. Hg: u<11 HA: u=11 OF. Ho: u>11 Ha: u =11 Calculate the test statistic. t=0 (Round to three decimal places as needed.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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