researcher interviewed a random sample of 100 library patrons as they were leaving the library and found that 54% of them had checked out books. A) Statistic B) Parameter
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A researcher interviewed a random sample of 100 library patrons as they were leaving the library and found that 54% of them had checked out books.
A) Statistic B) Parameter
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- An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin.Eight locations on the forearm were designated for ointment application. The new ointment was applied to six locations,and a control was applied to the other two.How many different choices were there for the six locations to apply the new ointment?An article compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures computer instruction, and computer instruction with lectures. 60 students were randomly assigned, 12 to each method. After completing the course, students took a 1-hour exam. We are interested in finding out if the average test scores are different for the different teaching methods. The p-value of the test is 0.0372. What is the conclusion of the test if the level of significance is αα=0.10? There is enough evidence to conclude that all five group means are significantly different from each other. There is not enough evidence to conclude that all five group means are sigificantly different from one another. There is enough evidence to conclude that at least one group mean is significantly different from others. There is not enough evidence to conclude that at least one…In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. Which of the following correctly states Ho and H₁ ? A. Ho: Mx Hy = 0 H₁: Hx-Hy >0 OC. Ho: Mx Hy ‡0 Hi HxHy=0 - O E. Ho: Mx Hy = 0 H₁: Hx-Hy <0 B. Ho: Mx Hy = 0 H₁: Hx-Hy #0 D. Ho: Hx-Hy = 0 H₁: Hx-Hy 20 OF. Ho: Mx Hy = = 0 H₁: Hx-Hy ≤0
- In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. The test statistic is t = 2.236. (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)In intaglio printing, a design or figure is carved beneath the surface of hard metal or stone. Suppose that an experiment is designed to compare differences in mean surface hardness of steel plates used in intaglio printing (measured in indentation numbers), based on two different surface conditions-untreated and treated by lightly polishing with emery paper. In the experiment, 40 steel plates are randomly assigned-20 that are untreated, and 20 that are treated. The results of the experiment are in the “Intaglio” data in Chapter 10_HW_Data.xls. Assuming that the population variances from both conditions are equal, is there evidence of a difference in the mean surface hardness between untreated and treated steel plates? (use α = 0.05) Determine the p-value in (a) and interpret its meaning. In addition to equal variances, what other assumption is necessary in (a)? Repeat Problem (a), assuming that the population variances from untreated and treated steel plates are not…Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th: Friday the 13th: 10 10 13 11 13 69 11
- When I was an undergraduate, I helped my father conduct some Child Psychology research about parental influence on gender bias. In this study we interviewed 158 kindergarteners. Our initial question was "What is your favorite color?" where we studied the distribution of "Pink" and "Blue" responses. To our surprise, 38 of the students interviewed responded "Turquoise". Use this information to select the response which correctly answers the question. Being curious, we decided to further interview the children who responded "Turquoise". While he took a lunch break, he told me to select 5 such children to form a group for interviews. How many different possible groups could I have formed? O 769754986 O 5.297 x 1036 O 501942 O 1109750A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 704.9. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 33 high-income individuals and found the sample mean credit score to be 717.9 with a standard deviation of 83.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the g = 0.05 level of significance. State the null and alternative hypotheses. Ho: µ 704.9 H1: µ > 704.9 (Type integers or decimals. Do not round.) Identify the t-statistic, to = (Round to two decimal places as needed.)According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows: Action % of time On Time National Aviation System Delay Aircraft arriving late 71 9. 10 Other (weather and other conditions) 10 When a study was conducted it was found that of the 211 randomly selected flights, 150 were on time, 19 were a National Aviation System Delay, 21 arriving late , 21 were due to weather. Perform a test to see if there is sufficient evidence at a = 0.10 to see if these differ from the governments statistics. The correct hypotheses are: O Ho: The sample is a good fit to the Bureau of Transportation Statistics. HA: The sample is not a good fit to the Bureau of Transportation Statistics. (claim) O Ho: The sample is not a good fit to the Bureau of Transportation Statistics. HA: The sample is a good fit to the Bureau of Transportation Statistics. (claim) O Ho: The sample and the Bureau of Transportation Statistics are independent. HA: The sample and the…
- A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 40 12 8 80 80 80 80 1 1 1 20 40 8 Ho: Po = Ho: Po = Alternative hypothesis: Ho: Po = PA = PB = PAB = Ha: po # Type O 1 Ha: Po PA PB = PAB = 4 20 › PA = PA = Type 0 20 24 40 80 80 Ha: Po 0.3, PA # 0.5, PB At least one of the proportions is different. Complete the table of observed counts: Type O , PA # 0.667 Type A PB = PB = 40 Type A 40 What is the test statistic? 2.667 1 ,PB # 0 , PAB = 1 12¹ PAB Complete the table of expected counts under the null hypothesis: 12…The American Water Works Association reports that, The average household water usage is more than 10 gallons per day. However, in a pandemic like this, it is suspected that there is a change in household water consumption. A researcher conducted a survey and took samples of 12 household heads and asked about the use of the gallon water. The data obtained are as follows: 74, 8, 13, 17, 13, 15, 12, 13, 15, 16, 9, 7. If it is known that the data is normally distributed. Use a significance level of 5% to test whether the average household water use has increased (greater than 10 gallons)? What will happen if the household's water use increases by 5% from the previous one? Analyze your answer and come up with a conclusion!According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. A) What are the correct null and alternative hypotheses? B)What is the parameter of interest? The difference between the mean weight of all males ages 20-29 and the mean weight of all males ages 75+ The mean weight (in kg) The difference between the mean weight of the sample of males ages 20-29 and the mean weight of the sample of males ages 75+ The mean difference between the weights of males ages 20-29 and males ages 75+ c)Is the randomness condition met for…