Three EV (Electric Vehicle) motor systems are being tested for their efficiency. The following are the data. Motor 1 Motor 2 Motor 3 56 60 58 45 55 54 50 52 53 44 59 50 49 50 52 Jsing alpha - 0.05. are there any differences between the level of efficiency in the motor systems?
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- Did the ductility of the wire change after soaking it to an acid solution? Infer from the data below: Ductility before soaking Ductility after soaking 2563 2405 2564 2406 2565 2407 2566 2408 2567 2409 2452 2693 2453 2694 2454 2695 2455 2696 2456 2697 2634 2589 2635 2590 2636 2591 2637 2592 1.) Create a null and alternative hypothesis 2.) Is there a significant change before and after soaking? Prove it using computations. The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populationsA random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10
- The following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. Test the hypothesis at the 0.05 significance level that the treatment means are equal. Treatment 1 Treatment 2 Treatment 3 9 13 10 7 20 9 11 14 15 9 13 14 12 15 10 State the null and the alternate hypothesis.In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).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?
- Under what circumstances is the t statistic used instead of the Z score for a hypothesis test?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…In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
- In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…The following data were obtained from an independent-measures study comparing three treatment conditions. Treatment I II III 4 3 8 N = 12 3 1 4 G = 48 5 3 6 ΣX2 = 238 4 1 6 M = 4 M = 2 M = 6 T = 16 T = 8 T = 24 SS =2 SS = 4 SS = 8 A) Use an ANOVA with alpha = .05 to determine whether there are any significant differences among the three treatment means. Follow the four-step procedure of hypothesis testing. B) Calculate the eta squared to measure the effect size. C) Report your results of one-way ANOVA analysis and the effect size in APA format. D) conduct a post hoc analysis with Tukey’s HSDIf, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.