There is a lot of interest in the relationship between studying music and studying math. We will look at some sample data that investigates this relationship. Here are the Math SAT scores from 8 students who studied music through high school and 12 students who did not. The degrees of freedom (d.f.) is given to save calculation time if you are not using software.| Math SAT Scores | mean | $s^2$ | s ||------------------|----------|---------------|-------------|| Music ($x_1$) | 576 548 618 568 629 641 538 567 | 585.625 | 1489.98214285714 | 38.6002868235087 || No Music ($x_2$) | 545 489 566 527 531 542 570 516 499 498 518 508 | 525.75 | 686.204545454545 | 26.19506207259 |**Degrees of freedom: d.f. = 11**Test the claim that students who study music in high school have a higher average Math SAT score than those who do not. Use a 0.01 significance level.(a) Find the test statistic.[ ](b) Find the critical value.[ ]

Answered: There is a lot of interest in the…

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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I need help with something regarding this problem. The National Sleep Foundation recommends that adults aged 18 to 64 get an average of 8 hours of sleep per night. A survey of sleep hours was taken during a Statistics class. The data is listed below: 4, 5, 5, 5, 5.5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10 Do we have enough evidence at the 0.05 significance level to say that statistics students tend to get less sleep than the recommended average of 8 hours per night? How would I get the degrees of freedom?
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Ty In the t eth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 164 houses built in Southern California in the twentieth century and an independent, random sample of 83 new houses built in Southern California. The sample of twentieth century houses contained 56 houses with pools, and the sample of new houses contained 26 houses with pools. Based on this survey, can we conclude, at the 0.10 level of significance, that the proportion p₁ of all Southern California twentieth century houses that were built with pools is greater than the proportion p, of all new Southern California houses that were built with pools? 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 parts…
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