**Let's Practice T Test**A premium golf ball production line must produce all of its balls to 1.615 ounces in order to get the top rating (and therefore the top dollar). Samples are drawn hourly and checked. If the production line gets out of sync with a statistical significance of more than 1%, it must be shut down and repaired. This hour’s sample of 18 balls has a mean of 1.611 ounces and a standard deviation of 0.065 ounces. Do you shut down the line?**Step 1:** Determine the null hypothesis $ H_0 : \mu = 1.615 $ $ H_a : \mu = \_\_\_ $**Step 2:** Two-tailed**Step 3:** Select significance level $ \alpha = \_\_\_ $**Step 4:** T test**Step 5:** Find the critical values (in the T-table). Draw and label a graph. *(Box for drawing and labeling graph is given)***Step 6:** Calculate test Statistic \[\begin{align*}N &= \_\_ \\\bar{x} &= \_\_ \\\mu &= \_\_ \\s &= \_\_\end{align*}\]**Calculate.** *(Box for calculation is provided)***Step 7-9:** State the conclusion: consider the questions provided below- Reject? Or fail to reject?- Is there a statistically significant difference between the population mean of 1.615 and the sample mean of 1.611? Include the scientific notation for T test.*(Box for conclusion is provided)*

Answered: Image /qna-images/answer/de541067-6d29-488d-bbcf-1d0895050f71.jpg

Answered: standard deviation of 0.065 ounces. Do…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
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Type if A if you should accept the study as having a mean not to different from the population mean. Type R if you should reject the study as having a too different mean from the population mean. A researcher wants to determine whether the mean height of 31, 18 year old Filipino teens is significantly different from the population average of 5.2 ft. The mean and the standard deviation of the scores of the researcher's study is 5.4 ft and 7; respectively. Assume a 99% confidence level. A researcher wants to determine whether the mean lifespan of 16 pet goldfish living in the same tank is significantly different from the population average of 12 years. The mean and the standard deviation of the pet goldfish's lifespan is 9.5 and 11; respectively. Assume a 90% confidence level.
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To celebrate the end of final exams you and friends head to a favorite downtown restaurant. You find a street parking spot with a maximum of two hours. If you stay longer than two hours, you risk having your car towed away. No one has a watch or cellphone but you remember that the average time you spent at the same restaurant over your previous 16 visits is 1.5 hours, and you estimate the sample standard deviation to be about 20 minutes. You also need to factor in that it takes 8 minutes to walk to the restaurant and 8 minutes to walk back to your car (you are very certain about these two durations). (a) One of your friends is really worried that you won’t get back to the car in time and so the car might be towed away! Does your friend have good reason to be worried? Test at a 5% significance level whether the mean total time will be less than two hours. (b) You decide to leave the car parked at the street spot but it gets towed. What type of error have you committed?
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