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=μn Ha:μw≠μn The test statistic is t0=2.653 t0.005=±2.382
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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=μn
Ha:μw≠μn - The test statistic is t0=2.653
- t0.005=±2.382
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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.In 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=−2.663Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.
- Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city were taken to determine if the income levels of west side residents are greater than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are greater than the income levels of east side residents, at the 2% significance level. H0:μw≤μeHa:μw>μe t0=0.511 t0.02=2.104 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. Yes; the test statistic is less than the critical value.Independent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level. H0:μw≥μeHa:μw<μe t0=−2.344 t0.04=−2.107 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. No; the test statistic is greater than the critical value. Yes; the test statistic is less than the critical value.Independent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level. H0:μw≥μeHa:μw<μe t0=−2.344 t0.04=−2.107
- 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 ⇐⇐…A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the 0.01 significance level, is there a relationship between job pressure and age? Degree of Job Pressure Age (years) Low Medium High Less than 25 20 18 22 25 up to 40 50 46 44 40 up to 60 58 63 59 60 and older 34 43 43 GIVEN: H0: Age and pressure are not related.H1: Age and pressure are related. Reject H0 if chi-square > 16.812 FIND: Compute the value of chi-square. (Show your work)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.
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