MAKSI FEUI student wants to find out whether there is a difference in the distribution of nicotine content from 2 cigarette brands, namely Brand A and Brand B. Help the student to test statistically with a significance level (α) of 5 percent (Z0.05 = 1, 96), where the nicotine content data of several cigarettes for the two cigarette brands are as follows: Rokok A Rokok B 2.1 4.1 4.0 0.6 6.3 3.1 5.4 2.5 4.8 4.0 3.3 2.2 2.4 1.9 2.5 5.4 1.6 2.8
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MAKSI FEUI student wants to find out whether there is a difference in the distribution of nicotine content from 2 cigarette brands, namely Brand A and Brand B. Help the student to test statistically with a significance level (α) of 5 percent (Z0.05 = 1, 96), where the nicotine content data of several cigarettes for the two cigarette brands are as follows:
Rokok A |
Rokok B |
2.1 |
4.1 |
4.0 |
0.6 |
6.3 |
3.1 |
5.4 |
2.5 |
4.8 |
4.0 |
3.3 |
2.2 |
2.4 |
1.9 |
2.5 |
5.4 |
|
1.6 |
|
2.8 |
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- What is meant by the sample space of an experiment?In a random survey of 1500 adults in California and 1000 in Oregon, you find that percentage of smokers is 15.2% and 18.5% respectively. At a 1% significance level, is there enough evidence to conclude that the proportion of adults who are smokers is lower in California than in Oregon? (Show hand calculations)Do adults (age 20–45) with children and adults without children have the same distribution of type of vehicle that is driven? In a large city, 130 randomly selected adults with children and 170 randomly selected adults without children were asked which type of car best describes the vehicle they primarily drive: car, truck, van, or SUV. A significance test will be conducted using the data to determine if there is convincing evidence at α = 0.05 that the distribution of type of vehicle driven differs between adults (age 20–45) with children and adults without children. What are the hypotheses for this test? H0: There is in the distribution of vehicle type driven between adults (aged 20–45) with children and adults without children. Ha: There is in the distribution of vehicle type driven between adults (aged 20–45) with children and adults without children.
- Suppose that in a certain year, it was reported that the variance in GMAT scores was 14,650. At a recent summit, a group of economics professors met to discuss the GMAT performance of undergraduate students majoring in economics. Some expected the variability in GMAT scores achieved by undergraduate economics students to be greater than the variability in GMAT scores of the general population of GMAT takers. However, others took the opposite view. Suppose the following are GMAT scores for 51 randomly selected undergraduate students majoring in economics. 345 749 427 765 336 777 663 451 787 454 711 544 453 330 718 462 585 658 550 576 771 572 629 591 481 574 510 628 532 411 702 640 686 608 510 509 617 576 546 392 512 571 794 690 581 527 329 451 666 377 720 (a) Compute the mean, variance, and standard deviation of the GMAT scores for the 51 observations. (Round your answers to two decimal places.) x=s2=s= (b) Develop hypotheses to test whether…Suppose that in a certain year, it was reported that the variance in GMAT scores was 14,650. At a recent summit, a group of economics professors met to discuss the GMAT performance of undergraduate students majoring in economics. Some expected the variability in GMAT scores achieved by undergraduate economics students to be greater than the variability in GMAT scores of the general population of GMAT takers. However, others took the opposite view. Suppose the following are GMAT scores for 51 randomly selected undergraduate students majoring in economics. 345 749 427 767 336 777 663 451 787 454 711 544 453 330 718 462 585 658 550 576 773 572 629 591 481 574 510 628 532 411 702 640 686 608 510 509 617 576 546 392 512 573 794 690 581 527 329 451 666 377 720 (a) Compute the mean, variance, and standard deviation of the GMAT scores for the 51 observations. (Round your answers to two decimal places.) x= ( ) s2=( ) s= ( ) (b) Develop hypotheses…A pet food producer manufactures and then fills 25-pound bags of dog food on two different production lines located in separate cities. In an effort to determine whether differences exist between the average fill rates for the two lines, a random sample of 19 bags from line 1 and a random sample of 23 bags from line 2 were recently selected. Each bag’s weight was measured and the following summary measures from the samples were reported: Production Line 1 Production Line 2 Sample Size, n 19 23 Sample Mean, x 24.96 25.01 Sample Standard Deviation, s 0.07 0.08 Management believes that the fill rates of the two lines are normally distributed with equal variances. a) Calculate the point estimate for the difference between the population means of the two lines. b) Develop a 95% confidence interval…
- Spencer would like to study how gender and PTSD in veterans impacts risk for dementia. In order to study this, he will need four groups and all four groups will have to be veterans. Females with PTSD, females without PTSD, Males with PTSD, Males without PTSD. What would be the best statistical test to examine how gender and PTSD status impact risk for dementia in this cohort?A community college professor is interested in determining the relationship between the number of posts students make on Schoology and their respective grades. He planned to correlate the results from a sample from all his classes, however, due to time constraints, he decided to sample only from students with high grades. As his statistical consultant, state whether or not you support his plans and why.Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 426 of the 673 freshmen psychology majors from a recent study changed their major before they graduated and 420 of the 709 freshmen business majors changed their major before they graduated. What can be concluded at the = 0.01 level of significance? For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference between two population proportions z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: Select an answer p1 μ1 Select an answer ≠ < > = Select an answer p2 μ2 (please enter a decimal) Select an answer p1 μ1 Select an answer > < ≠ = Select an answer p2 μ2 (Please enter a decimal) The test statistic ? t z = (please show your…
- A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income of childcare workers in Illinois. To see if this is true, the firm selected a random sample of 20 childcare workers from New York and an independent random sample of 20 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars New York 46686 , 34979 , 47325 , 48892 , 51128 , 56792 , 47785 , 48995 , 57301 , 55176 , 48002 , 45718 , 50351 , 58527 , 47067 , 53699 , 54361 , 49727 , 36426 , 50870 Illinois 48009 , 46871 , 42774 , 49790 , 43163 , 45401 , 41068 , 50300 , 47064 , 42003 , 47775 , 41917…A researcher wants to examine different online teaching environments by collecting data on 20 students. Half of the students had synchronous class while the other half had asynchronous class. For the students who had the synchronous class, they scored an average of 80 on the final exam with a sample variance of 10. For the students who had the asynchronous class, they scored an average of 78 on the final exam with a sample variance of 18. Determine if there is a significant difference between the average final exam score between the two groups of students. Use a significance level of 5%. What is the alternative hypothesis? Group of answer choices: A.The average final exam score for the asynchronous class is higher than the synchronous class. B. There is no difference in the average final exam score between the asynchronous class and synchronous class. C. There is a difference in the average final exam score between the asynchronous class and synchronous class. D. The…