Cramming Students in two basic Spanish classes were required to learn 50 new vocabulary words. One group of 45 students received the list on Monday and studied the words all week. Statistics summarizing this group’s scores on Friday’s quiz are given. The other group of 25 students did not get the vocabulary list until Thursday. They also took the quiz on Friday, after “cramming” Thursday night. Then, when they returned to class the following Monday, they were retested—without advance warning. Both sets of test scores for these students are shown. a) Did the week-long study group have a mean score significantly higher than that of the overnight crammers? b) Was there a significant difference in the percentages of students who passed the quiz on Friday? c) Is there any evidence that when students cram for a test, their “learning” does not last for 3 days? d) Use a 95% confidence interval to estimate the mean number of words that might be forgotten by crammers. e) Is there any evidence that how much students forget depends on how much they “learned” to begin with?
Cramming Students in two basic Spanish classes were required to learn 50 new vocabulary words. One group of 45 students received the list on Monday and studied the words all week. Statistics summarizing this group’s scores on Friday’s quiz are given. The other group of 25 students did not get the vocabulary list until Thursday. They also took the quiz on Friday, after “cramming” Thursday night. Then, when they returned to class the following Monday, they were retested—without advance warning. Both sets of test scores for these students are shown. a) Did the week-long study group have a mean score significantly higher than that of the overnight crammers? b) Was there a significant difference in the percentages of students who passed the quiz on Friday? c) Is there any evidence that when students cram for a test, their “learning” does not last for 3 days? d) Use a 95% confidence interval to estimate the mean number of words that might be forgotten by crammers. e) Is there any evidence that how much students forget depends on how much they “learned” to begin with?
Cramming Students in two basic Spanish classes were required to learn 50 new vocabulary words. One group of 45 students received the list on Monday and studied the words all week. Statistics summarizing this group’s scores on Friday’s quiz are given. The other group of 25 students did not get the vocabulary list until Thursday. They also took the quiz on Friday, after “cramming” Thursday night.
Then, when they returned to class the following Monday, they were retested—without advance warning. Both sets of test scores for these students are shown.
a) Did the week-long study group have a mean score significantly higher than that of the overnight crammers?
b) Was there a significant difference in the percentages of students who passed the quiz on Friday?
c) Is there any evidence that when students cram for a test, their “learning” does not last for 3 days?
d) Use a 95% confidence interval to estimate the mean number of words that might be forgotten by crammers.
e) Is there any evidence that how much students forget depends on how much they “learned” to begin with?
Statistics that help describe, summarize, and present information extracted from data. Descriptive statistics include concepts related to measures of central tendency, measures of variability, measures of frequency, shape of distribution, and some data visualization techniques/tools such as pivot tables, charts, and graphs.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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