can you please send the answer a little bit faster
A consumer agency is investigating the blowout pressures of Soap Stone tires. A Soap Stone tire is said to blow out when it separates from the wt rim due to impact forces usually caused by hitting a rock or a pothole in the road. A random sample of 2? Soap Stone tires were inated to the recommended pressure, and then forces measured in footpounds were applied to each tire (1 footpound is the force of 1 pound dropped from a height of 1 foot). The customer complaint is that some Soap Stone tires blow out under smallimpact forces. while other tires seem to be well ma( and don't have this fault. For the 2? test tires. the sample standard deviation of blowout forces was 1350 footpounds. (a) Soap Stone claims its tires will blow out at an average pressure of 28,000 footpoundsr with a standard deviation of 1028 footpounds The average blowout force is not in question, but the variability of blowout forces is in question. Using a 0.01 level of signicance, test thI claim that the variance of blowout pressures is more than Soap Stone claims it is. Classify the problem as being a Chi-square test of independence or homog eneity, Chisq uare goodness-oft. Chisquare for testing or estimating 0'2 or 0', F test for two varia nces, Oneway ANOVA, or Twoway ANOVA, then perform the following. 'L__.) Chisquare goodnessoft 'L J F test for two variances 'L._) Oneway AN OVA '\\_) Twoway ANUVA I _) Chisquare test of independence L) Chisquare for testing or estimating 0'2 or 0' 'L._) Chisquare test of homogeneity (i) Give the value of the level of signicance. l State the null and alternate hypotheses. LJ H0: cr2 = 1055:!84; H1: :12 1056?84 (ii) Find the sample test statistic. (Round your answer to two decimal places.) (iii) Find the Pvalue of the sample test statistic. iv" P-value : 0100 L.) 0050 4 Pvalue 4 0.100 "\\_) 0.025 4 Pvalue 4 0.050 '-.. J 0010 4 Pvalue 4 0.025 'V' 00054 Pvalue 4 0.010 R.) Pvalue 4 0.005 (iv) Conclude the test. 'V' Since the Pvalue > (x, we fail to reject the null hypothesis. L.) Since the Pvalue 5 05. we reject the null hypothesis. K.) Since the P-value 5 ix. we fail to reject the null hypothesis. 'L._) Since the Pvalue > 04:, we reject the null hypothesis. (v) Interpret the conclusion in the context of the application. k.) At the 1 '36 level of signicance, there is insufcient evidence to conclude that the variance is greater than claimed. 'L._) At the 1 '36 level of signicance, there is sufcient evidence to conclude that the variance is greater than claimed. (b) Find a 95% condence interval for the variance of blowout pressuresr using the information from the random sample. {Round your answers to one decimal place} |