Data science blogger Lucas Soares wrote a post in which he documented his goal ofaveraging less than 30 seconds to solve a 3x3x3 Rubik's cube. On June 2, 2020 he solved the cube 302.different times, averaging 29.04 seconds with a standard deviation of 3.41 seconds. Since cubes arerandomly scrambled before each solve, we will consider this a random sample of all cubes he couldhave solved that day.,Does his performance on June 2 provide significant evidence that u, his true average solvingspeed at that time, was less than 30 seconds? Conduct a test with a = .10 to determine youra.answer.b.Calculate and interpret a 90% confidence interval for u.Based on your confidence interval in part b, you would have made a different conclusionabout the hypotheses from part a than the test you conducted in part a (assuming you dideverything correctly). In one or two sentences, explain the cause of these differing conclusions.C.

Here use hypothesis testing and confidence interval

Answered: Data science blogger Lucas Soares wrote…

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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Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 32 shifts that she had a mean of 4.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Jodi calculates from a random sample of 40 shifts that her mean was 4.2 calls per shift. She knows that the population standard deviation for her shift is 1.1 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.01 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
An economist predicts that in the next 50 years gas will be 0.02 based on the last 7 months of 2015. What type of error did she make ? Extrapolation? Simpson’s paradox? Influential outlier? Volunteer sample?
One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 55%. A random sample of 160 adult residents of this city were questioned, and it was found that 71 of them had been victimized by a criminal. Based on these data, can we reject the sociologist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H. :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O
Please solve a, b, and c. Note: Please explain and show steps for solutions especially for part c.
Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.
Please help with homework problem.
Solve question 9, Part A, Part B and Part C only.
One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 50%. A random sample of 180 adult residents of this city were questioned, and it was found that 76 of them had been victimized by a criminal. Based on these data, can we reject the sociologist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. p H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
Answer quickly please. Need answer ASAP. A study was made to determine if the subject matter in a physics course is better understood when a lab constitutes part of the course. Students were randomly selected to participate in either a 3-semester-hour course without labs or a 4-semester-hour course with labs. In the section with labs, 17 students made an average grade of 85 with a standard deviation of 4.7, and in the section without labs, 17 students made an average grade of 79 with a standard deviation of 6.1. Construct 90% confidence interval for the difference of the mean grades between the two physics courses. Based on your interval, would you say that the laboratory course increases the average grade? Assume the populations to be approximately normally distributed.
Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 40 shifts that she had a mean of 5.1 calls per shift. She knows that the population standard deviation for her shift is 1.2 calls. Jodi calculates from a random sample of 31 shifts that her mean was 5.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.01 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 3 of 3 : Draw a conclusion and interpret the decision.

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