Five gentlemen went to Molesky's restaurant for all-you-can-eat wings. Mr. Andreasen ate 6 wings, Mr. Betz ate 24 wings, Mr. Henricksen ate 18 wings, Mr. Osters ate 20 wings, and Mr. Tyson ate 32 wings. (a) List all 10 possible SRSS of size n = 2, calculate the mean number of wings eaten for each sample, and display the sampling distribution of the sample mean on a dotplot. (b) Is the sample mean an unbiased estimator of the population mean? Justify your answer.

An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…

There are eight patients waiting in a doctor's waiting room.  They have been waiting for 9 minutes, 2 minutes, 5 minutes, 4 minutes, 12 minutes, 7 minutes, 8 minutes, and 11 minutes.  Calculate the sample variance for the patients' wait times (in minutes squared). Round to the nearest hundredth as needed.

The annual salary for one particular occupation is normally​ distributed, with a mean of about ​$132,000 and a standard deviation of about ​$16,000. Random samples of 26 are drawn from this​ population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means.​ Then, sketch a graph of the sampling distribution.

We asked UST employees to tell us how many megabytes of memory (RAM) they have on their computer. We would like to test to see if the mean amount of memory is the same for three different academic departments. We have the memory amounts for six faculty members' machines in the three departments shown below. Dept. 1 Dept. 2 Dept. 3 1 4096 4096 4096 2 4096 2048 4096 4096 2048 8192 computer 4 8192 4096 8192 4096 2048 4096 6. 2048 8192 2048 Here is the ANOVA table: Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 5592405 2796203 XXX 0.604 Error XX 80390827 5359388 Total XX 85983232 Calculate the number of degrees of freedom Error. 3.

The average final exam score for the statistics course is 43%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is larger. The final exam scores for the 19 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 54, 38, 45, 47, 42, 42, 48, 38, 56, 51, 46, 41, 43, 41, 37, 40, 53, 43, 43 Copy to clipboard What can be concluded at the = 0.05 level of the significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H1: ? Select an answer c. The test statistic ? v (please show your answer to 3 decimal places.)

An athletic shoemaker wants to test if their new running shoe specially made for sprinting is better than the competition. To do this, they recruit 35 NCAA sprinters and time their 100-meter dash wearing the company's shoe and then time their 100-meter dash again wearing the competitor’s shoe. The difference of these times is then calculated asTimecompany.shoe−Timecompetitor.shoe. The sample mean difference in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at theα=0.1 level. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic underH0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.15 level and state your conclusions in the…