Professor Adams wrote a book called Improving Your Memory. The professor claims that if you follow the program outlined in the book, your memory will definitely improve. Fifteen people took the professor's course, in which the book and its program were used. On the first day of class, everyone took a memory exam; and on the last day, everyone took a similar exam. The paired scores for each person follow. Last exam 223 122 117 274 89 77 112 207 91 132 173 113 217 289 71 First exam 171 116 116 209 66 87 168 199 77 111 143 19 196 242 91 Use a 0.01 level of significance to test the null hypothesis that the scores are the same whether or not people have taken the course against the alternate hypothesis that the scores of people who have taken the course are higher.

A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections. Group-1 Group-2 Group-3 Group-4 Group-5 83.7 84.3 56.6 67.5 60.7 80.8 77.1 83 71.9 80.2 91.3 72.4 77.4 70.5 57.3 80.1 74.4 79.2 79 68.7 93.3 71.9 73 81.8 70 78.1 73.7 74.5 62.8 64.5 76.5 69.7 81.4 75.1 63.1 68.2 72 75.2 83.7 65.5 62.8 71 79.3 85.4 67.6 76.5 73.1 74.5 81.5 67.1 79.2 67.9 74.9 86.7 72.2 62.1 78.7 84.8 63.4 80.8 86.7 97.2 66.8 79.3 68.2 79 74.6 66.4 75.9 67.7 79.1 82.3 69.3 70.3 68.2 71.1 62.2 53.3 71.1 58 61.8 68.9 82.7 60.2 73 70.7 83.2 61.9 64.6 49.5 Conduct a test to determine if the group means are equal using α=0.02α=0.02.  Summary statistics:F-ratio (F-test statistics) =      p-value =     (report accurate to at least 4 decimal places)What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the…

Every day a school bus driver passes the same traffic light twice, once before school and once after. Each time he passes the light, he records if it is red, green, or yellow. Here is a summary of the data he got after 200 days. Traffic light before school red red red green green green yellow yellow yellow Traffic light after school red green yellow red green yellow red green yellow Number of days 25 38 12 34 36 11 16 13 15 Suppose the driver will continue recording the colors for 150 more days. In how many of these 150 days will the light be yellow exactly once? Use the data to make a prediction.

Mrs. Harris is studying whether eating breakfast the day of an achievement test produces higher test scores in her 6th grade classroom. The data is shown in the tables below.Achievement Test Scores: No Breakfast Student Score Student A 248 Student B 277 Student C 245 Student D 256 Student E 255 Student F 279 Student G 281 Student H 265 Achievement Test Scores: After Eating Breakfast Student Score Student J 271 Student K 244 Student L 280 Student M 284 Student N 259 Student P 267 Student R 258 Student S 275 Identify the important pieces of information needed to decide if there is a statistically significant difference in the data sets (null hypothesis, alternative hypothesis, one- or two- tailed test, sample size for each group). a The null hypothesis is eating breakfast before an achievement test has no effect on test scores.The alternative hypothesis is eating breakfast before an achievement test produces higher test…

The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of​ 500,000, how many people would you expect to die of cancercancer each​ year?             Cause Deaths   Cause Deaths   Heart disease 596 comma 700596,700   ​ Alzheimer's disease 84 comma 90084,900   Cancer 575 comma 300575,300   Diabetes 73 comma 40073,400   Chronic respiratory diseases 143 comma 100143,100   ​ Pneumonia/Influenza 53 comma 40053,400   Stroke 128 comma 600128,600   Kidney disease 45 comma 30045,300   Accidents 122 comma 500122,500   Suicide 38 comma 60038,600   About people would be expected to die of cancer each year. ​(Type a whole number. Round to the nearest person as​ needed.)

A child development specialist is interested in learning if a new learning program increases students’ memory. 15 Subjects learned a list of 50 words.  Learning performance was measured using a recall test.  Students were initially tested and then tested again after using the new program.  Below is the number of words remembered by each student.  Student #           Score 1                  Score 2 1                              24                           26   2                            17                           24 3                             32                             31 4                             14                           17 5                              16                           17 6                              22                           25 7                              26                           25 8                              19                           24 9                              19                           22 10                           22…

Ethan has a bag that contains strawberry chews, apple chews, and lime chews. He performs an experiment. Ethan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ethan performs the experiment 47 times. The results are shown below: A strawberry chew was selected 36 times. A apple chew was selected 9 times. A lime chew was selected 2 times.   If the experiment is repeated 600 more times, about how many times would you expect Ethan to remove a lime chew from the bag? Round your answer to the nearest whole number.

If 30 participants each completed a memory task three times — once each after having no, moderate, or high levels of caffeine, calculate the total degrees of freedom.

You are using cash to pay a $20 parking ticket. In your wallet you have one $5-dollar bill, three $10-dollar bills, and two $20 dollar bills, and you draw out one bill at a time at random until you have at least $20. If you keep track of each bill as you draw it out of the wallet, how many different ways are there for you to get at least $20?

Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each period, the participants record the number of nights of restful sleep that they had. The following table gives the results of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. Number of Nights of Restful Sleep in a Four-Week Period 15 With Caffeine 21 20 22 24 18 21 24 20 26 26 22 21 23 27 23 Without Caffeine a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value =…