What are the sample size n and df I Write down the SEE, SE(a), SE(b), what do they tell us? I What is the 95% CI for β? Interpretation? I What is the 95% CI for α? Interpretation? I Can you draw the best fit line?
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What are the sample size n and df
I Write down the SEE, SE(a), SE(b), what do they tell us?
I What is the 95% CI for β? Interpretation?
I What is the 95% CI for α? Interpretation?
I Can you draw the best fit line?
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- The manufacturer of a sports car claims that the fuel injection system lasts at least 48 months before it needs to be replaced. A consumer group does not believe this claim. The consumer group believes that it must be less than 48 months. The consumer group tests th the manufacturer's claim by surveying a random sample of 15 sports car owners who had the fuel injection system replaced. The ages of sports cars at the time of replacement were (in months) as follows: Assume that that the age of sports cars at the time of replacement is normally distributed. 29 42 49 48 53 46 30 51 42 52 38 47 50 34 52 Read part-a through part-f of this question fully and do them please. In your answers, please keep the appropriate number of decimals as requested in each part of the question. A. Compute the mean and the standard deviation of the above sample data. Be sure to find the appropriate standard deviation for purposes of carrying out the hypothesis test of interest. a. Sample…A sociological study conducted in a small town calls for the estimation of proportion of households that contain at least one number over 65 years of age. The city was 621 households. A simple random sample of n=60 households was selected out of which 11 contained the least one member 65 years of age. Estimate the true population proportion p and place bound on the error of estimation.indicate whether the analysis involves a statistical test. If it does involve a statistical test, state the population parameter(s) of interest and the null and alternative hypotheses. a)Giving a Coke/Pepsi taste test to random people in New York City to determine if there is evidence for the claim that Pepsi is preferred. b)Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left. c)Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.
- Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 590 depressed individuals is selected and treated with Resithan, and 203 find relief from their depression. A random sample of 481 depressed individuals is independently selected from the first sample and treated with Exemor, and 179 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of depressed individuals taking Resithan who find relief from depression is less than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The critical value at the 0.05 level of significance:(Round to at least three…A sample is selected from a population with µ = 80. After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s2 = 100. A. If the sample has n = 4 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. SM = __________________ tcritical = __________________ tcalculated = ___________________________ Decision = __________________ B. If the sample has n = 25 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. SM = __________________ tcritical = __________________ tcalculated = ___________________________ Decision =…An agriculture company wants to determine if a new fertilizer has a significant effect on crop yields. The null hypothesis is that the fertilizer has no effect on crop yields, meaning that the average yield with the fertilizer is equal to the average yield without the fertilizer. The company conducts an ANOVA test and obtains an F-statistic of 3.2 and a numerator degrees of freedom of 3 and denominator degrees of freedom of 20. What is the p-value of the hypothesis test?
- Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 408 depressed individuals is selected and treated with Resithan, and 192 find relief from their depression. A random sample of 520 depressed individuals is independently selected from the first sample and treated with Exemor, and 211 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? 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 below. (If necessary, consult a list of formulas.)A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 402 gram setting. Is there sufficient evidence at the 0.02 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 510 depressed individuals is selected and treated with Resithan, and 187 find relief from their depression. A random sample of 474 depressed individuals is independently selected from the first sample and treated with Exemor, and 152 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression differs from the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a two-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 below. (If necessary, consult
- A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. Specify the competing hypotheses to test the manufacturer's claim. Calculate the value of the relevant test statistic. Compute the p-value. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores. To test this, they take a sample of 20 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): Person1234567891011121314151617181920Initial Test7368707979606880637865687367606277647069Post-Test7075767493566987778170817377637578706766 Is there evidence, at an α=0.01α=0.01 level of significance, to conclude that the prep course improves scores? Carry out a Wilcoxon signed rank test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the post-test.) (a) The value of the test statistic: (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis test:A. Reject HaHa.B. Reject H0H0.C. Do Not Reject H0H0.D. Do Not Reject HaHa.A psychologist wishes to estimate the average reaction time to a stimulus among 200 patient in a hospital specializing in nervous disorder. A simple random sample of n=20 patients was selected, and their reaction time were measured, with the following result. ȳ=2.1 seconds S=0.4 second Estimate population mean μ and place bound on error.