Microcracks are the common defect in solar panels produced by a local company with mean of 17.2 and standard deviation of 4.158. A sample of 50 solar panels has been collected for quality analysis. i. Determine the suitable probability distribution to use. Justify your answer. ii. Find the confidence interval of mean for the microcracks to occur at 95% confidence level.
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- O A myopenmath.com Home - ATI Testing МyOpenMath A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 11 years. A survey of 94 companies reported in The Wall Street Journal found a sample mean tenure of 9.5 years for CEOs with a standard deviation of 4 years (The Wall Street Journal, January 2, 2007). You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of 0.05. Your hypotheses are: H0: μ >11 Ні:д < 11 What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) This test statistic leads to a decision to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that there is sufficient evidence to conclude that the population mean tenure for…2. Hypothesis: A one hour GRE workshop increases test scores. Sample Data: Mean of 25 people who did workshop = 156 (standard deviation = 8.2); mean of 27 people who did not do workshop = 154 (standard deviation 7.6).Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. H: u = 24 not claim Η: μ 24 claim The hypothesis test is a one-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):
- The amount of money that college students spend on food each week during the academic year is normally distributed with a mean of $31.28 and a standard deviation of $11.42 What is the probability that one randomly selected student will spend less than $25 per week on food? If you randomly select 10 students, what is the probability that their mean will be less than $25?Do vou think it would be unusua for an individua apartment to have a rent greater than s2690? Exolain. Assume the variable is normally distributionHigh school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge exam, students who score in the top 19 percent are recognized publicly for their achievement by the Department of Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be recognized?
- The size of fish is important to commercial fishing. A study conducted in 2102 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is normally distributed with mean 47 cm and standard deviation 3.4 cm. 1.What is the probability that a randomly Atlantic cod is between 44 and 49 cm? Round your answer to 4 decimal places. 2.What is the probability that a random sample of 5 Atlantic cod have an average length between 44 and 49 cm? Enter your answer rounded to 4 decimal places. Document how you obtained your answer in the space provided below. 3.Why did the probability increase?The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 4. A. What proportion of students consume more than 13 pizzas per month? Probability = B. What is the probability that in a random sample of size 10, a total of more than 130 pizzas are consumed? Probability=Español A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 14 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.08 fluid ounces and 0.25 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, u, differs from 7 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. Ho :0 H :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) OThis 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.The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000? Do not use Excel Use Z SCOREDaily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) OSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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