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- On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance? Shett 48 Supplier A 517 484 463 452 502 447 481 500 485 566 Supplier B 479 499 488 430 482 457 424 488 526 455 Supplier C 435 443 480 465 435 430 465 514 463 510 Supplier D 526 537 443 505 468 533 481 477 490 470 Select one: a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires d) F stat = 0.68, F…Listed below are the heights (in inches) of fathers and their first sons. The dataare from a journal kept by Francis Galton. Use a 0.05 significance level to testthe claim that there is no difference in heights between fathers and their firstsons. (State the null and alternate hypothesis, the p-value method to make adecision, and write a conclusion based on the results.) Height of Father 72.0 66.0 69.0 70.0 70.0 70.0 70.0 75.0 68.265.0Height of Son 73.0 68.0 68.0 71.0 70.0 70.0 71.0 71.0 70.063.0A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 gram setting. Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.
- A one sample t test has n = 12. If using a two-tail test (proportion in two tails combined) with an alpha = .05, the critical t score boundaries =In the macro relation between GDP and FDI, Dr Mudenda obtained the following valuesfrom a Stata output: FDI coefficient of 0.45; t-statistic of 3; and covariance (GDP, FDI)value of 0.41. In literature, this relationship between GDP and FDI has generally beenestablished to be statistically significant. Answer the following questions:i) Calculate the variance of the FDI variable and explain its implicationii) Use the confidence interval approach to test whether FDI’s influence on GDP isstatically significant or not in Dr Mudenda’s study. Use 5% level which gives 1.96critical values.iii) What is the expected value of the p-values for studies that have been conductedin literature?For a special pre-New Year's Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time, thus drinking an alcohol increases reaction time. The reaction times (in seconds) before and after consuming four drinks are in Sheet 11. Test a hypothesis to see if the showman claim is supported by the given data (use alpha=0.01 significance level). Sheet 11 Subject Before After 1 0,32 0,39 2 0,39 0,44 3 0,36 0,49 4 0,41 0,53 5 0,37 0,46 6 0,35 0,39 7 0,37 0,49 8 0,37 0,52 9 0,32 0,43 10 0,39 0,45 11 0,39 0,39 12 0,41 0,49 13 0,32 0,48 14 0,38 0,48 15 0,34 0,4 16 0,35 0,52 Select one: a. The alternative hypothesis that the reaction time before consuming alcohol is less than after is not accepted as the p-value= 0.0000 is less than alpha=0.005 b. The Null hypothesis that the reaction time before consuming alcohol is less than after is rejected…
- An automobile manufacturer claims that their van has a 46 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 61 vans they found a mean MPG of 46.1 with a variance of 6.76 MPG. Is there sufficient evidence at the 0.01 level that the vans outperform the manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario.A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445 gram setting. Based on a 29 bag sample where the mean is 438 grams and the variance is 676, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 425 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
- Two types of flares are tested and their burning times (in minutes) are recorded. Summary statistics are given below.Brand Xn=35x = 19.4 mins = 1.4 min Brand Yn=40x = 15.1 mins = 0.8 min Use a 0.08 significance level to test the claim that the two samples are from populations with the same mean. Use the traditional method or the P Value method of hypothesis testing.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.The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?