3. Google conducted a study during the month of December 2019 that measured ways in which people used their Web browsers. Part of the study involved counting the number of files downloaded during the period of the study. The mean number of files downloaded by a random sample of 51 male users was 130.6 with a standard deviation of 22. The mean number of files downloaded by a random sample of 56 female users was 144.1 with a standard deviation of 20. Can you conclude that the mean number of files downloaded differs between males and females? Use a 5% level of significance.

19. A high school math teacher summarized the 35 math SAT scores for the students in her calculau class. The mean for the class was 521 and themedian was 535. The range of the scores was 235 and the highest score in the entire class was 675. Approximately 40% of the lass scored higher than 562. State whether each of the following is true or false. a. The 45th percentile exceeds 540. b. The lowest score in the class was 440. c. The z-score for a score of 510 is a negative number. d. The third quartile exceeds 562. e. The percentile rank of 562 is 40.

0.05 level of significance. Solve for appropriate test statistic and show written work!

Determine which statistic you would use.  1. A psychologist studied if cognitive intelligence was associated with emotional intelligence in50 people. Cognitive intelligence was measured by averaging each person’s scores on tests ofvocabulary and visual problem solving. Emotional intelligence was measured by theparticipant’s score for accurately describing the moment-by-moment emotional reactionsof three people in a filmed interaction 2. A psychologist is interested in whether exercise increases the intensity of REM sleep in adults in three age groups (younger, middle age, older) She obtains 40 people in each age group and randomly assigns half of them to daily exercise or not in a 2 (exercise vs. not) X 3 (age group) design • REM sleep is measured by rating the vividness of dreams recorded in daily dream diaries collected for one week– Bland dreams = 1; very vivid dreams = 5 3. A psychologist believes physical experiences influence perception, such that a hill will appear steeper if…