Question

In: Statistics and Probability

A probability and statistics professor surveyed 11 students in her​ class, asking them questions about their...

A probability and statistics professor surveyed 11 students in her​ class, asking them questions about their study strategy. The number of hours studied and the grade for the course test are in the table​ below:

Hours Studied​ (X)

11

99

22

44

99

11

88

1010

66

99

22

Test Grade​ (Y)

46

91

57

71

90

52

81

98

82

94

64

1.The correlation coefficient is....

he correlation coefficient in part a. suggests that the relationship between Hours Studied and Test Grade​ is:

A.

negative and strong

B.

positive and strong

C.

negative and weak

D.

positive and weak

Solutions

Expert Solution

X Y
11 46 -40.9091 -29.0909 1190.083 1673.554 846.281
99 91 47.09091 15.90909 749.1736 2217.554 253.0992
22 57 -29.9091 -18.0909 541.0826 894.5537 327.281
44 71 -7.90909 -4.09091 32.35537 62.55372 16.73554
99 90 47.09091 14.90909 702.0826 2217.554 222.281
11 52 -40.9091 -23.0909 944.6281 1673.554 533.1901
88 81 36.09091 5.909091 213.2645 1302.554 34.91736
10 98 -41.9091 22.90909 -960.099 1756.372 524.8264
66 82 14.09091 6.909091 97.35537 198.5537 47.73554
99 94 47.09091 18.90909 890.4463 2217.554 357.5537
22 64 -29.9091 -11.0909 331.719 894.5537 123.0083
Total 4732.091 15108.91 3286.909
Mean of X 51.90909
Mean of Y 75.09091

So the correlation coefficient is

Hence postive value of r (0.67) suggest postive correlation between hours studied(X) and test grade(Y). Also the value of r is some near to 1 suggeststrong correlation.

Hence the relationship between Hours Studied and Test Grade​ is positive and strong .

Option (B) is correct.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Statistics Class Times A professor wishes to see if students show a time preference for statistics...
Statistics Class Times A professor wishes to see if students show a time preference for statistics classes. A sample of four statistics classes shows the enrollment. At =α0.01, do the students show a time preference for the classes? Use the P-value method with a TI-83 Plus/TI-84 Plus calculator. Time :800AM :1000AM :1200PM :200PM Students 22 35 29 26
A statistics professor asked her students whether or not they were registered to vote. In a...
A statistics professor asked her students whether or not they were registered to vote. In a sample of 50 of her students (randomly sampled from her 700 students), 35 said they were registered to vote. Questions 1 - 6 pertain to scenario 1. Question 1 (1 point) Which of the following properly explains the 95% confidence interval for the true proportion of the professor's students who were registered to vote? Question 1 options: a) We are 95 % confident that...
A statistics professor posted the following grade distribution for her elementary statistics class: 8% A, 35%...
A statistics professor posted the following grade distribution for her elementary statistics class: 8% A, 35% B, 40% C, 12% D, and 5% F. A sample of 100 elementary statistics grades at the end of last semester showed 12 As, 30Bs, 35Cs, 15 Ds, and 8 Fs. Test at the 5% significance level to determine whether the actual grades deviate significantly from the posted grade distribution guidelines. write the 5 step procedure.
a professor has learned that six students in her class of 19 will cheat on the...
a professor has learned that six students in her class of 19 will cheat on the exam. She decides to focus her attention on eight randomly chosen students during the exam. A. what is the probability that she finds at least one the students cheating? B. what is the probability that she finds at least one of the students cheating if she focuses on nine randomly chosen students?
A professor has learned that eight students in her class of 31 will cheat on the...
A professor has learned that eight students in her class of 31 will cheat on the exam. She decides to focus her attention on ten randomly chosen students during the exam. a. What is the probability that she finds at least one of the students cheating? (Round your final answers to 4 decimal places.) b. What is the probability that she finds at least one of the students cheating if she focuses on eleven randomly chosen students? (Round your final...
A statistics professor has stated that 90% of his students pass the class. To check this...
A statistics professor has stated that 90% of his students pass the class. To check this claim, a random sample of 150 students indicated that 129 passed the class. If the professor's claim is correct, what is the probability that 129 or fewer will pass the class this semester? A) 0.0516 B) 0.9484 C) 0.5516 D) 0.4484 please show work
In a large class of introductory Statistics​ students, the professor has each person toss a coin...
In a large class of introductory Statistics​ students, the professor has each person toss a coin 29 times and calculate the proportion of his or her tosses that were heads. Complete parts a through d below. The Independence Assumption (is or is not) )_____satisfied because the sample proportions (are or are not)_____independent of each other since one sample proportion (can affect or does not affect)______another sample proportion. The​Success/Failure Condition is not satisfied because np=____ and nq=____which are both (less than...
A statistics professor gave a 5-point quiz to the 50 students in his class. Scores on...
A statistics professor gave a 5-point quiz to the 50 students in his class. Scores on the quiz could range from 0 to 5: The following frequency table resulted: (1.5 points) Quiz Score f rf cf crf c% 5 4 .08 50 1.00 100% 4 10 .20 46 .96 96% 3 14 .28 36 .72 72% 2 10 .20 22 .44 44% 1 8 .16 12 .24 24% 0 4 .08 4 .08 8% 1. Compute the values that define...
Dr. Sammy Statsnerd surveyed her statistics students (N=60) to see if there was a relationship between...
Dr. Sammy Statsnerd surveyed her statistics students (N=60) to see if there was a relationship between the number of total courses the students were taking this semester and the level of stress that they felt about her statistics course. The results of the survey are below (30 points): Level of Stress about Statistics Number of Courses Four Five Six Low 9 6 1 Moderate 8 15 2 High 4 9 6 Total 21 30 9 Assess the 3 properties of...
A professor hypothesizes that students who earn a C or better in her class spend more...
A professor hypothesizes that students who earn a C or better in her class spend more time outside of class studying than students who receive a D or F. She collects the following data from two samples of students. What does she conclude? Number of hours studying per week for C or better students: 8, 4, 4, 2, 1, 5, 3, 2, 3 Number of hours studying per week for D or F students: 6, 2, 1, 0, 3, 2,...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT