(163.5 (253.7 (b) Let X = 17.46 27.19 Find the value X obtained for X if all intermediate calculations, and the final answer, are rounded to four significant figures. Find the exact value of X rounded to four significant figures. Use your answer to find the error and relative error in X.
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- 6- Identify the p-value for testing H0: β0 = 0 versus H1: β0 ≠ 0. Using the p-value determine whether we can reject H0 by setting α equals 0.10, 0.05, 0.01, and 0.001.You are using t-test with 15 degrees of freedom to test H0: u=112 vs Ha: u<112, and the rejection was defined to be all the values less than -1.753. What is the implied value of alpha that this test is being performed at?An SRS of 100 flights by Speedy Airlines showed that 64 were on time. An SRS of 100 flights by Happy Airlines showed that 80 were on time. Let pS be the proportion of on-time flights for all Speedy Airline flights, and let pH be the proportion of all on-time flights for all Happy Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines? To determine this, you test the hypotheses H0 : pS – pH 0, Ha : pS – pH 0. The P-value of your test is 0.0117. Which of the following is an appropriate interpretation of the P-value? a. If the on-time rates for the two airlines are equal, there is a 0.0117 probability of getting samples with a difference as far or farther from zero as these samples. b. If the on-time rates for the two airlines are not equal, the probability of getting samples with a difference as far or farther from zero as these samples is 0.9883. c. The probability of making a Type I error is 0.0117. d. The probability of making a Type II error…
- To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, 25 values obtained for alloyed wire yielded an average of 0.083 ohm with s = 0.003 ohm, and 25 values obtained for standard wire yielded an average of 0.086 ohm with s = 0.002 ohm. Use 5% level f significance to determine whether the claim has been substantiated. What is the computed value and decision?A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster. Use the definitions of X1 and X2 as given in the table. Consequently, D=X1=X2What critical value should be used at a-0.05?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.
- Suppose we fail to reject Ho: μ ≥ 50 When the true mean is μ = 53Given a sample of size n=64 and σ =6 and with α=0.05Calculate the critical sample mean Xα , the ZX̅α , The probability of type II error βand the power of the hypothesis test P.Solution: [Write the rules/formula]Calculate X̅α :Calculate ZX̅α with the true mean μ = 53:The probability of type II error β:The power of the hypothesis test P:You are performing a two-tailed test.If α=.002α=.002, find the positive critical value, to three decimal places.zα/21. Is a value of r=0.75 from a sample of 100 more significant than a value of r=0.30 from a sample of 1000?
- A researcher is testing the effect of marijuana use on reaction time. A sample of n = 9 students is obtained and each student is given a dose of marijuana. Thirty minutes later, each student's reaction time is measured in a driving simulator. The scores for the sample of students averaged M = 211 milliseconds with SS = 1152. Assuming that reaction time for students in the regular population averages μ = 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Test at the .05 level of significance. Which of the four options below is the best answer? Type the letter “A” or “B” etc. in the box Option A. Accept the null, marijuana has no effect on reaction time Option B. Accept the null, marijuana does affect reaction time Option C. Reject the null, marijuana has no effect on reaction time Option D. Reject the null, marijuana does affect reaction time Compute r 2, the percentage of variance explained by the treatment effect.…What is the purpose of testing whether ᵝ1=0? If we reject ᵝ1=0, does it imply a good fit?A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rate in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The test statistic is t≈5.627, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the heart rate in the 75∘F room and the heart rate in the 50∘F room is significantly not equal to…