The compressive strength of concrete is being studied, and four different mixing techniques are being investigated. Using the data gathered below: a. Construct the ANOVA table b. Test the hypothesis that mixing techniques affect the strength of the concrete. Use alpha = 0.01 Mixing Compressive Strength (psi) ... Technique 2 3 1 4 7 15 11 2 12 17 13 18 14 18 19 17 4 19 25 22 23
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- In order to determine if the average bacteria content of southern flowing streams is less than the average bacteria content of northern flowing streams, independent random samples of 28 southern flowing streams and 35 northern flowing streams were taken. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the average bacteria content of southern flowing streams is less than the average bacteria content of northern flowing streams, at the 5% significance level. H0:μs≥μnHa:μs<μn t0=−0.108 t0.05=−1.999 Select the correct answer below: No; the test statistic is less than the critical value. Yes; the test statistic is greater than the critical value. No; the test statistic is greater than the critical value. Yes; the test statistic is less than the critical value.Three samples of each of three types of PVC pipe of equal wall thickness are tested to failure under three temperature conditions, yielding the results shown below. Research questions: Is mean burst strength affected by temperature and/or by pipe type? Is there a “best” brand of PVC pipe? Burst Strength of PVC Pipes (psi) Temperature PVC1 PVC2 PVC3 Hot (70º C) 247 299 239 277 287 262 283 275 279 Warm (40º C) 325 341 297 322 319 315 296 335 304 Cool (10º C) 358 375 327 366 352 334 338 359 340 Click here for the Excel Data File (a-1) Choose the correct row-effect hypotheses. a. H0: A1 ≠ A2 ≠ A3 ≠ 0 ⇐⇐ Temperature means differ H1: All the Aj are equal to zero ⇐⇐ Temperature means are the same b. H0: A1 = A2 = A3 = 0 ⇐⇐ Temperature means are the same H1: Not all the Aj are equal to zero ⇐⇐ Temperature means differ a b (a-2) Choose the correct column-effect hypotheses. a. H0: B1 ≠ B2 ≠ B3 ≠ 0 ⇐⇐…In a study to determine if the nitrogen content of the soil in Wyoming is significantly different from the nitrogen content of the soil in North Dakota, 34 independent random soil samples from Wyoming and 36 from North Dakota were taken. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the nitrogen content of the soil in Wyoming is significantly different from the nitrogen content of the soil in North Dakota, at the 1% significance level. H0:μw=μnHa:μw≠μn The test statistic is t0=2.653 t0.005=±2.382
- The National Transportation Safety Board wants to look at the safety of three different sizes of cars. Using the data below, determine the whether the mean pressure applied to the driver`s head during a crash is equal for each type of car at alpha = 0.01 Compact cars Midsize cars Full-size Cars 643 469 484 655 427 456 702 525 402 a) Ho: Ha : b) Decision c) ConclusionIn a study to determine if the nitrogen content of the soil in Wyoming is less than the nitrogen content of the soil in North Dakota, 27 independent random soil samples from Wyoming and 32 from North Dakota were taken. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the nitrogen content of the soil in Wyoming is less than the nitrogen content of the soil in North Dakota, at the 1% significance level. H0:μw≥μnHa:μw<μn The test statistic is t0=−1.53 t0.01=−2.663You want to conduct a test to determine whether there are significant differences in the mean impurity levels for polymers produced with three different catalysts. Which statistical test is appropriate for this scenario? Select one: a. paired t test b. one-sample t test c. one-way ANOVA d. two-sample t test
- An electrical engineer is interested in the effect on the tube conductivity of five different types of coating for cathode ray tubes used in telecommunications system display device. The following conductivity data are obtained: Coating Type 1 143 141 150 146 2 152 149 137 143 3 134 133 132 127 4 129 127 132 129 5 147 148 144 142 At 5% level of significance, is there any difference in conductivity due to coating type? What is the value of test statistic? Select one: a. 16.35 b. 19.0 c. 15 d. 3.06Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%. Compact cars Midsize cars Full-size cars 643 469 484 655 427 456 702 525 402 Mean 666.67 473.67 447.33 Standard deviation 31.18 49.17 41.68Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%. Compact Midsize Full-size 643 655 702 680 672 469 427 525 495 483 484 465 402 476 435 State the null and alternate hypothesis for the data. Given the results, what will be the conclusion of the team?
- A consumer group, concerned about the mean fat content of a certain grade of ground beef, submits a random sample 12 packets of ground beef for analysis, to an independent laboratory. The percentage of fat from each packet is as follows Sample Percentage of Fat 1 21 2 18 3 19 4 16 5 18 6 24 7 22 8 19 9 24 10 14 11 18 12 15 The manufacturer claims that the mean fat content for this grade of ground beef is less than 20%. Assuming that the percentage fat content is normally distributed with a standard deviation of 3, conduct the appropriate hypothesis test and advise the consumer group about the validity of the manufacturer’s claim.To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 20 28 20 26 26 19 24 31 23 22 27 22 a. Use these data to test whether the population mean times for mixing a batch ofmaterial differ for the three manufacturers. Use α = .05.b. At the α = .05 level of significance, use Fisher’s LSD procedure to test for the equality of the means for manufacturers 1 and 3. What conclusion can you drawafter carrying out this test?Consider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations: population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ] population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09] population3 = [ 17.12, 16.42, 16.43, 17.33] For the three populations, what is the value of SSgroups in the ANOVA table? For the three populations, what is the value of SSerror in the ANOVA table?