Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 9 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:
2.3 |
3 |
2.1 |
2.7 |
2.3 |
2.7 |
2.2 |
2.4 |
2.2 |
a. What is a point estimate for the population
b. Which distribution should you use for this problem?
- t-distribution
normal distribution
c. Why?
d. What must be true in order to construct a confidence interval in this situation?
- The
sample size must be greater than 30 - The population mean must be known
- The population standard deviation must be known
- The population must be approximately normal
e. Construct a 99% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places
f. Interpret the confidence interval in a complete sentence. Make sure you include units
g. What does it mean to be "99% confident" in this problem? Use the definition of confidence level.
- 99% of all simple random samples of size 9 from this population will result in confidence intervals that contain the population mean
- There is a 99% chance that the confidence interval contains the population mean
- The confidence interval contains 99% of all samples
h. Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible?
- Yes
- No
Is it likely?
- No
- Yes
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
- . Students may be classified as having a math dysfunction—and not have to take statistics—if they score below the 25th percentile on a diagnostic test. The m of the test is 75 and sX 10. Approximately what raw score is the cutoff score needed to avoid taking statistics?arrow_forwardC6. The GSS 2014 asked respondents to identify what was important for "truly bemg American." When asked "How important to have American ancestry?" answers were measured on a 4-point scale: 1 = very important, 2 = fairly important, 3 = 1ot important, and 4 = not important at all. We selected a sample of 20 GSS respondents and present their individual responses. Complete the five-step model for these data, using alpha = .01 to assess the significance of the model. not very %3D %3D %3D White Black Other 1 4 2 2 3. 1 4. 4. 2. 2. 1, 2. 3.arrow_forwardFor this data, a. what is SS total ? b. what are the df values for the repeated-measures F-ratio ? c. what is SS between subjects ?arrow_forward
- On a scale of 0 to 10, the student rated her enjoyment of stats as an 8. The average rating among students is 5, and the average spread around that mean is 1.5. I got the z score as 2.0. Can you kindly help with these questions below? What percent of college students enjoy statistics more? What percent of college students enjoy statistics less?arrow_forwardUse the following information to answer the next three exercises. 1; 1; 2; 3; 4; 4; 5 ; 5; 6; 7; 7; 8; 9 39. What is the first quartile for this data? 40. What is the third quartile for this data? Use the following information to answer the next four exercises. This box plot represents scores on the final exam for a physics class.arrow_forwardA researcher want to know if there is a relationship between sleep and anxiety. The researcher randomly selected n = 5 participants and asked each to rate their sleep quality and anxiety level on a scale of 1 to 5. The data are below: Sleep X Anxiety Y 2 2 3 3 2 2 4 2 5 2 Calculate Pearson's rarrow_forward
- n a 2014 study, Michael Smith arranged to be stung by bees repeatedly on 25 locations over 38 days to record the relative pain experienced by each sting in each body area. A scale pain ratings of 1-10 were used with stings to the forearm defined to be a 5. What is the population of this study?arrow_forwardQ1]. [30%] The data for this question given in the table below come from the sample data folder of MINITAB. The data give you the monthly number of people employed (in units of 1000) in the retail trade industry in the state of Wisconsin from January 1970 to December 1974. Copy this timeseries data into an excel spreadsheet in your home area first before you start your analysis. You can use Excel to answer this question. Month 1970 1971 1972 1973 1974 1 322 322 330 348 361 2 317 318 326 345 354 3 319 320 329 349 357 4 323 326 337 355 367 5 327 332 345 362 376 6 328 334 350 367 381 7 325 335 351 366 381 8 326 336 354 370 383 9 330 335 355 371 384 10 334 338 357 375 387 11 337 342 362 380 392 12 341 348 368 385 396 (a) (b) (c) (d) Draw a time series plot of the data and comment on any noticeable patterns. Describe an appropriate time series model for this data, giving your reasons, and obtain estimates of the components of your model using the decomposition method. Using your model…arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman