Creating and interpreting a Normal Quantile-Quantile (Normal Q-Q) plot.
The data you will be using is the distance in miles from home to campus for statistics students.
150 30 105 88 94 15 55 122 45 67 18 126 30
143 98 15 30 62 111 87 38 20 34 39 46 14
144 23 94 44 97 65 120 123 99 45 57 209 20
133 72
Creating and interpreting a Normal Quantile-Quantile (Normal Q-Q) plot. The data you will be usin...
1. Graph the normal quantile plot and add a line: 2. Does the data appear to have come from a normal distribution? Why/why not? 3. Find the probability for a standard normal distribution and graph it. • Graph P(z < 1). 4. Find P(z < 1) for a standard normal curve: A random sample of 25 college students aged 18 to 24 years was obtained, and the number of hours of TV watched last week was recorded. The data follows:...
1) Given a standard normal distribution, find the probability of having a z score higher than 1.67 ```{r} ``` 2) Given that test scores for a class are normally distributed with a mean of 80 and variance 36, find the probability that a test score is lower than a 45. ```{r} ``` 3) Given a standard normal distribution, find the Z score associated with a probability of .888 ```{r} ``` 4) Find the Z score associated with the 33rd quantile...
A population of values has a normal distribution with μ=87.4μ=87.4 and σ=41σ=41. You intend to draw a random sample of size n=106n=106. Find P6, which is the mean separating the bottom 6% means from the top 94% means. P6 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
1. 2. A sample of human brain volumes (cm) is given below. Use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 1073 1071 1446 1042 1043 1075 1073 960 List the z scores for the normal quantile plot....
A population of values has a normal distribution with μ=118μ=118 and σ=32.9σ=32.9 . You intend to draw a random sample of size n=45n=45 . Find the probability that a sample of size n=45n=45 is randomly selected with a mean less than 115.5. P(M < 115.5) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
h Problems 3-6, use the results in the table to (a) draw a normal ralbability plot, (b) determine the linear correlation between the berved values and expected z-scores, (c) determine the critical atlne in Table VI to assess the normality of the data. riqs 6. fi Expected z-score Index, i Observed Value T islo eo.10 o -1.28 1 1 0.64 0.26 3 2 ngt3 -0.20 0.42 19 0.20 0.58 30 e88 0.74 0.64 6 99 0.90 1.28 fubility plot to...
A recent article in BusinessWeek listed the “Best Small Companies.” We are interested in the relationship between the companies’ sales and earnings. A random sample of 12 companies wasselected and the sales and earnings, in millions of dollars, are reported below: Company Papa John’s InternationalApplied Innovation Integracare Wall Data Davidson & AssociatesChico’s FAS Checkmate Electronics Royal Grip M-Wave Serving-N-Slide Daig Cobra Golf Sales ($ millions) $29.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 19.6 51.2 28.6 69.2 Earnings ($ millions)...
(b) Cook's Distance (a) Normal Q-Q Plot o' 1.1 2 4 6810 1.5 id Theoretical Quantiles Figure 1: Diagnostic Plots for the Shipping Cost Data: (a) Q-Q plot of the studentized jackknife residuals re-i): (b) Plot of Cook's Distance. (c) The following questions are related to outlier detection. Answer each with appropriate i. Which observation is most outlying in terms of its predictor values? Does it make it i. Which observation is the hardest to predict? Does it seem to...
A population of values has a normal distribution with 11-83.4 and ơ-95.3. You intend to draw a random sample of size n 214. Find P91, which is the mean separating the bottom 91% means from the top 9% means. Po1 (for sample means)- Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted Points possible: 1 License Unlimited attempts
1. A q-q plot tells you how close to a normal distribution your data are T/F? 2. The adjusted r-squared is usually more accurate T/F? 3. If you want a better model, what statistic should you use to decide if one if better? __________ 4. Outliers should be analyzed separately if we do not include them in our analysis T/F? 5. Correlation is not part of a regression equation T/F?