8.5# 20 College tuition: A Simple random sample of 35 Colleges and universities in the united states had a mean tuition of A 18,702 With a standard deviation of t 10, 653. Construct a 95% confidence linterval for the mean tuition for all Colleges and universities in the united states.
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- Do political science classes require less writing than history classes? The 43 randomly selected political science classes assigned an average of 14.6 pages of essay writing for the course. The standard deviation for these 43 classes was 5.9 pages. The 52 randomly selected history classes assigned an average of 15.4 pages of essay writing for the course. The standard deviation for these 52 classes was 4.5 pages. What can be concluded at the a= 0.01 level of significance? For this study, we should use t-test for the difference between two independent population means a. The null and alternative hypotheses would be: Ho: 1 H₁: 1 C O μ2 C Add Work μ2 b. The test statistic t c. The p-value = 0.2279 d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... 0.749 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.01, so there…Traffic Highway planners investigated the relationshipbetween traffic Density (number of automobiles per mile)and the average Speed of the traffic on a moderately largecity thoroughfare. The data were collected at the samelocation at 10 different times over a span of 3 months.They found a mean traffic Density of 68.6 cars per mile(cpm) with standard deviation of 27.07 cpm. Overall, the cars’ average Speed was 26.38 mph, with standard devia-tion of 9.68 mph. These researchers found the regression line for these data to be Speed = 50.55 - 0.352 Density.a) What is the value of the correlation coefficientbetween Speed and Density?b) What percent of the variation in average Speed isexplained by traffic Density? c) Predict the average Speed of traffic on the thorough-fare when the traffic Density is 50 cpm. d) What is the value of the residual for a traffic Densityof 56 cpm with an observed Speed of 32.5 mph?e) The data set initially included the point Density =125 cpm, Speed = 55 mph. This…One-Way Airfares The average one-way airfare from Pittsburgh to Washington D.C. is $236. A random sample of 19 one-way fares during a particular month had a mean of $208 with a standard deviation of $43. At α=0.05, is there sufficient evidence to conclude a difference from the stated mean?
- Moviegoers The average "moviegoer" sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 42 moviegoers from a large university revealed that the average number of movies seen per person was 10.2. The population standard deviation is 3.2 movies. At the 0.01 level of significance, can it be concluded that this represents a difference from the national average? Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Hotu = 85 Part: 1/5 not claim H₁ 8.5 claim This hypothesis test is a two-tailed ▼test. Part 2 of 5 ▼ ▼ Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): X 0.0.... + 8分民图〗b. EWhich is cheaper: eating out or dining in? The mean cost of a steak, salad, and rice bought at the grocery store is $13.04. A sample of 30 neighborhood restaurants showed a mean price of $12.15 and a standard deviation of $2 for a comparable restaurant meal. 1.1) Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than $13.04. 1.2) At alpha = 0.05, what is your conclusion? Show a detailed solution to support your conclusion. (Find p-values at: https://www.socscistatistics.com/pvalues/tdistribution.aspx)A study was conducted for an aviation safety agency in which they surveyed thousands of passengers at airports across Europe. In this study, the "mass" for a passenger includes the weight of the passenger and all of the passenger's carry-on items, including infants without their own seats. For the 5,904 adult male passengers measured in summer, the sample mean and standard deviation for this mass were 88.8 kg and 15.9 kg, respectively. (a) Construct a 95% confidence interval (in kilograms) for the population mean mass for adult male passengers in summer. (Round your answers to three decimal places.) ___to__ kg (b) Write a sentence or two interpreting the confidence interval you found in part (a). With 95% confidence, we can estimate that the population mean mass of male passengers traveling in the summer is contained within the interval. We can estimate that 95% of the male passengers traveling in the summer in the sample have a mass that is contained within the interval.…
- Do political science classes require more writing than history classes? The 54 randomly selected political science classes assigned an average of 16.4 pages of essay writing for the course. The standard deviation for these 54 classes was 4.8 pages. The 52 randomly selected history classes assigned an average of 15.8 pages of essay writing for the course. The standard deviation for these 52 classes was 4.6 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer H1: Select an answer Select an answer Select an answer b. The test statistic ? V = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? Va e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... |(Please show your answer to 4 decimal places.) ] the null hypothesis. O The results are statistically…A sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each. Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled with air to the recommended pressure. The mean yardage for Group 1 was ?¯1=300 yards with a standard deviation of ?1=8 yards. The mean yardage for Group 2 was ?¯2=296 yards with a standard deviation of ?2=6 yards. Assume the two groups of kicks are independent. Let ?1 and ?2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium‑filled football and an air‑filled football. Assuming two‑sample ? procedures are safe to use and using Option 1 for the degrees of freedom, a 90% confidence interval for ?1−?2 is:…Do political science classes require less writing than history classes? The 47 randomly selected political science classes assigned an average of 19 pages of essay writing for the course. The standard deviation for these 47 classes was 5.6 pages. The 56 randomly selected history classes assigned an average of 21.9 pages of essay writing for the course. The standard deviation for these 56 classes was 4.1 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v H: Select an answer v Select an answer v Select an answer v b. The test statistic ? v = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically…
- 13.34 Women's heights. The heights of adult women are approximately Normal with mean 69.2 inches and standard deviation 2.5 inches. How tall are the tallest 10% of women? (Use the closest percentile that appears in Table B.)Do political science classes require more writing than history classes? The 40 randomly selected political science classes assigned an average of 13.1 pages of essay writing for the course. The standard deviation for these 40 classes was 3.9 pages. The 53 randomly selected history classes assigned an average of 10.8 pages of essay writing for the course. The standard deviation for these 53 classes was 5.6 pages. What can be concluded at the a = 0.05 level of significance? For this study, we should use Select an answer ↑ a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer H₁: Select an answer Select an answer Select an answer b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that …..Which score has a better relative position: a score of 65 on an exam with a mean of 80 and a standard deviation of 14 or a score of 69 on an exam with a mean of 82 and a standard deviation of 12?
