In a study to test whether or not there is a difference between the average heights of adult females in two different countries, random samples of size n1 = 120 and n2 = 150 yielded x , = 62. 7 inches and x , = 61. 8 inches. Extensive studies of a similar kind have shown that it is reasonable to let ơ1 = 2. 5 inches and o1 = 2. 62 inches. Test at the 0.05 level of significance whether the difference between these two sample means is significant. 1 Instructions: Assume 8 = 0, in addressing the problem obtain the value of the test statistic and its corresponding p – value up to four decimal places. 23D — 2.8772; р — value = 0. 9979 О2 3D 2. 8772;B р— value — 0. 9980 О2%3D 2.8772; р— value = 0. 0020 Ох— 2.8772; р — value = 0.0040
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- On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance? Shett 48 Supplier A 517 484 463 452 502 447 481 500 485 566 Supplier B 479 499 488 430 482 457 424 488 526 455 Supplier C 435 443 480 465 435 430 465 514 463 510 Supplier D 526 537 443 505 468 533 481 477 490 470 Select one: a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires d) F stat = 0.68, F…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).From a sample of 14 observations, an analyst calculates a t-statistic to test a hypothesis that the population mean is equal to zero. If the analyst chooses a 5% significance level, the appropriate critical value is: A. less than 1.80. B. greater than 2.16. C. between 1.80 and 2.16.
- A study, which randomly surveyed 3,700 households and drew on this information from the IRS, found that 79% of households have conducted at least one IRA rollover from an employer-sponsored retirement plan. Suppose a recent random sample of 90 households in a certain county was taken and respondents were asked whether they had ever funded an IRA account with a rollover from an employer-sponsored retirement plan. Based on the sample data below, can you conclude at the 0.10 level of significance that the proportion of households in the county that have funded an IRA with a rollover is different from the proportion for all households reported in the study? 77 respondents said they had funded an account; 13 respondents said they had not31% of all pygmy softshell tortoises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha = 0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?In analyzing the consumption of cottage cheese by members of various occupational groups, the United Dairy Industry Association found that 326 of 837 professionals seldom or never ate cottage cheese, versus 220 of 489 white-collar workers and 522 of 1243 blue-collar workers (Sheet 53). Assuming independent samples, use the 0.03 level in testing the null hypothesis that the population proportions could be the same for the three occupational groups. Sheet 53 Group 1 Group 2 Group 3 Total seldom or never 326 220 522 1068 often 511 269 721 1501 Total 837 489 1243 2569 Select one: a) chi-square stat = 4.81, crit. value = 7.01, fail to reject H0, population proportions are not different b) p-value = 0.09, reject H0, population proportions are not different c) chi-square stat = 4.81, crit. value = 9.2, fail to reject H0, population proportions are not different d) p-value = 0.029, reject H0, population proportions different
- Independent 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.31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?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.
- In a study examining overweight and obese college football players, Mathews and Wagner(2008) found that on average both offensive and defensive linemen exceeded the at-risk criterionfor body mass index (BMI). BMI is a ratio of body weight to height squared and is commonlyused to classify people as overweight or obese. Any value greater than 30 kg/m2 is considered tobe at risk. In the study, a sample of n = 17 offensive linemen averaged M = 34.4 with a standarddeviation of s = 4.0. A sample of n = 19 defensive linemen averaged M = 31.9 with s = 3.5a. Use a single-sample t test to determine whether the offensive linemen are significantly abovethe at-risk criterion for BMI. Use a one-tailed test with α = .01.b. Use a single-sample t test to determine whether the defensive linemen are significantly abovethe at-risk criterion for BMI. Use a one-tailed test with α = .01.c. Use an independent-measures t test to determine whether there is a significant differencebetween the offensive linemen…In 2000, relative frequency distribution of violent crimes: Murder: 0.011 Rape: 0.063 Robbery: 0.286 Agg Assault: 0.640 Total: 1.00 A simple random sample of 500 violent crime reports last year yielded: Murder: 3 Rape: 37 Robbery: 154 Agg Assault: 306 Total: 500 Using a X2 goodness of fit test, at the 5% significance level, do the data provide sufficient evidence that last year's violent crime distribution was different than the year 2000?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.