2. 10, X = 7.8, s = 5.1, n= 10
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- Suppose the observational units in a study are the patients arriving at an emergency room on a given day, 11 Nov 2019. For the following indicate whether it can legitimately be considered a variable or not: Whether or not men have to wait longer than women yes no(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…Calculate the first quartile Q1 for the following data: 1 367889 2 34455567 30246 4 3479 5 12 19 23 21 O 6
- To measure the relation between the gender and education level, which one is the appropriate statistic? Select one: O a. Cramer's V b. Phi (f) c. Spearman's rank correlation d. Correlation coefficient e. GammaA local veterinarian uses Z-scores to determine if newborn puppies of certain breeds are severely underweight, underweight, overweight, severely overweight, or within a typical weight range for their breed. Z-score Diagnosis Severely underweight Between -4.0 and -3.0 Underweight Less than -4.0 Between -3.0 and 3.0 Within the normal range Between 3.0 and 4.0 Overweight Severely overweight Greater than 4.0 Breed Mean (pounds) Standard deviation (pounds) Siberian Husky 23.2 2.5 Golden Retriever 31.5 2.1 Chow Chow 18.5 2.4 Shiba Inu 13.9 1.2 (a) What values would be considered to be normal for a hypothetical Siberian Husky puppy? Between and Enter an integer or decimal number (more. Report these answers to one decimal place (nearest tenth). (b) Show calculations and explain your reasoning.For a sample of n = 25 individuals, how large a Pearson correlation between two variables, X and Y, is necessary to be statistically significant for a two-tailed test with α = .05? A)0.405 B)0.382 C)0.389 D)0.397
- A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. 1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) 2. Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) ( , ) (iii) Calculate the error bound. (Round your answer to two decimal places.)A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.9; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.W 1. X A tablet computer manufacturer claims that its batteries last an average of 10.5 hours when playing videos. The quality control department randomly selects 20 tablets from each day's production and tests the batteries by playing a video repeatedly until the battery dies. The quality control department will reject the batteries from that day's production run if the mean battery life is less than 10.5 hours. Here are the data from one day: 10.3 10.0 10.3 10.6 10.5 10.3 10.1 10.6 11.5 10.3 10.3 12.7 10.6 11.3 13.9 12.5 12.4 10.8 10.2 12.2 The quality control department will test the hypotheses where p true mean battery life (in hours) while playing videos for tablets made during that day. Check that the conditions for performing the test are met. Assume the population is normally distributed. 3 e d C Ho:μ = 50 Ha:μl < 50 $ 4 f 25 % V t 6 (6 b Y h ∞ 7 u n * 00 8 ¡ m ( 9 k O Sign out 1 р Mar 29 7
- Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. a. Identify the independent and dependent variables. b. In a sentence, state the null hypothesis being tested. c. Using symbols, state the null and alternative hypotheses. d. Determine the critical region using a one-tailed test with alpha = .05. e .Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). f. State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). g. Based on your analysis, is there a relationship between the drug and attention span?The management of the local zoo wants to know if all of their animal exhibits are equally popular, If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At a = 0.10, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of 128 161 162 128 165 163 132 visitors Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each animal exhibit. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary. Ho P = H Some exhibits are less popular than others. The management of the local z00 wants to know if all of their animal…A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value