Question

The following data is the math test scores of students graduating from a particular high school . The government uses these scores to determine if there will be accreditation awarded. In order for this to occur the mean score must be above 780. A sample of students scores is drawn at random and they take the test. The scores are in the following table and the population is considered a normal distribution. Test at the .01 level.

980 |
764 |
798 |
760 |
796 |

760 |
798 |
980 |
796 |
796 |

798 |
790 |
960 |
960 |
900 |

Perform a hypotheses test to determine if this school should get accreditation . State the appropriate hypothesis. Determine critical values. State clearly what the results of the hypothesis test means.

Answer #1

By decision region, we fail to reject Ho.

That is , there is not sufficient evidence to conclude that mean score is above 780.

One of the two people that got a 980 cheated and should be
removed from the analysis (you will need a new t critical) Did the
cheater affect the accreditation? 980 764 798 760 796 760 798 980
796 796 798 790 960 960 900.

The following data represent the math SAT scores for a random
sample of seniors from three different high schools.
School A
School B
School C
488
445
618
592
370
525
537
382
651
470
423
647
539
523
543
Using α=0.05, perform a hypothesis test to determine if the math
median SAT score differs among these three high schools.

A certain test preparation course is designed to improve
students' SAT Math scores. The students who took the prep course
have a mean SAT Math score of 507 while the students who did not
take the prep course have a mean SAT Math score of 501. Assume that
the population standard deviation of the SAT Math scores for
students who took the prep course is 45.7 and for students who did
not take the prep course is 32.1 The SAT...

A certain test preparation course is designed to improve
students' SAT Math scores. The students who took the prep course
have a mean SAT Math score of 507 while the students who did not
take the prep course have a mean SAT Math score of 501. Assume that
the population standard deviation of the SAT Math scores for
students who took the prep course is 45.7 and for students who did
not take the prep course is 32.1 The SAT...

Five years ago, the average math SAT score for students at one
school was 475. A teacher wants to perform a hypothesis test to
determine whether the mean math SAT score of students at the school
has improved. The mean math SAT score for a random sample of 40
students from this school is 469 with a standard deviation of 73.
Do the data provide sufficient evidence to conclude that the mean
math SAT score for students at the school...

A principal claims the students in his school have above-average
test scores for a particular standardized test.
A sample of 50 students from his school were found to have an
average test score of 77.2.
The population mean for test scores for this particular test is
75, with a standard deviation of 9 (so we can assume that the
population test score is normally distributed).
Set up a hypothesis test to determine whether this principal’s
claim is correct (use alpha...

The comparisons of Scholastic Aptitude Test (SAT) scores based
on the highest level of education attained by the test taker's
parents were provided. A research hypothesis was that students
whose parents had attained a higher level of education would on
average score higher on the SAT. The overall mean SAT math score
was (College Board website, January 8, 2012). SAT math
scores for independent samples of students follow. The first sample
shows the SAT math test scores for students whose parents...

One-hundred test scores were recently obtained from a local
high school to compare to the national average. The mean verbal SAT
score for this sample was440. Compare this sample to the population
of SAT verbal test scores (SAT Verbal Test μ = 430 and σ =
120).
Calculate the standard error of the mean.
Calculate zobserved
State the null hypothesis using the names of the variable and
sample(Ho)
State the alternative hypothesis Ha
What is the probability of finding this...

1: Sample:
Gender
Verbal
Math
f
630
660
m
610
550
f
680
660
m
490
390
f
510
520
m
700
700
f
640
710
f
520
470
f
530
500
m
640
570
f
710
700
f
630
520
f
670
580
f
630
610
m
360
290
f
540
490
f
490
560
m
730
760
m
760
700
f
530
670
m
710
700
f
630
610
f
530
490
f
420
410
f
490...

The following data set represents test scores from a math class
at College A. Perform computations as instructed below. If you have
decimals, use two or three decimal points in your answer.
Scores: 84, 79, 95, 65, 80, 76, 92, 88, 74, 90, 86,
72, 85
(a) What is the sum of the scores?
(b) What is the mean of the data set?
(c) What is the Sum of Squares (SS) of the data set?
(d) What is the variance...

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