A two-way table with 4 columns and 5 rows is being used to conduct a chi-square test of significance for the null hypothesis which states two categorical variables are not related. How many degrees of freedom does the chi-square distribution associated with this test have?
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- Identify situations in which it is important to estimate power in relation with null hypothesis?ord ngi 11.-12. ints] Gnu, a snowboarding company, is testing to see if their two most popular snowboards differ in softness. Gnu tests a group of six snowboarders with equal snowboarding abilities who each try Board 1 and Board 2 for three hours each. They are asked to rate them on a softness scale of 1-15. [Assume this is safe to treat as interval data.] You are doing a two- tailed test with a=.10. Calculate the test statistic. State the critical value, and come to a conclusion concerning the snowboards. Board 1 Board 2 9 7 14 12 15 12 8 7 13 8 7 8 bon then the more powerful dependent samples test if carry-over effectTen car drivers were asked to parallel park 2 cars having very different wheel bases and turning radii. The time in seconds for each driver was recorded. The 90% confidence interval for the mean differences is [-2, 5]. This implies that, at the 90% level of confidence, the data do not support the claim that the two cars have different mean parking times. True or False?
- Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a) Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for α = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes? b) What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?What value of k minimizes the root mean squared error (RMSE) on the validationdata?A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 11 IQ scores from group 1 showed a mean of 120 and a standard deviation of 16, while an independently chosen random sample of 10 IQ scores from group 2 showed a mean of 113 and a standard deviation of 14. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 90% confidence interval for the difference u,-, between the mean u, of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: Explanation Check 02021 McGraw H Education. All Rights Reserved Terms of UseI PivcyI Accessibty MacBook Air ese 888 %23 2$ & 3 8 Q E…
- A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 12 IQ scores from group 1 showed a mean of 95 and a standard deviation of 16, while an independently chosen random sample of 16 IQ scores from group 2 showed a mean of 101 and a standard deviation of 13. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 90% confidence interval for the difference u, - µ, between the mean µ¡ of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: ] Check Save For Later Submit Assignment CantanL A ih ? ? 6 tv SO 44 DII 8 FR %23 24 & 3 4 5 6 7 80Cynthia, Mary, Mika, and Sallieof Hu’s Ur Dedi Cerveza Corp. conducted a survey on their 12-ounce cans to be sure that the variance of the amount of beer, in each can, was no more than 0.02square ounces. They collected a random sample of twenty cans of their 12-ounce beer, pulled from their production line, and got a sample variance of 0.015square ounces. Assume that the amount of beer in all 12-ounce cans to be normally distributed. Help them: a.Construct a 95% confidence interval for the population variance. b.Construct a 99% confidence interval for the standard deviation.