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Statistics homework/test HELP!?

I am completely lost in my statistics class. My professor handed us the following problem and I don't know what to do. Please help!

At a large university, a mathematics placement exam is administrated to all students.
This exam has a history of producing scores with a mean of 77.
Samples of 36 male students and 30 female students are randomly selected and the scores are recorded in the file Math Scores Placement Exam.
a) Describe each set of data with a histogram, mean and standard deviation. ( use the same set of class intervals for both histograms : 50-55-60-65-70-75-80-85-90-95-100)
b) Test the hypotheses “Mean score for all males is 77”
c) Test the hypotheses “Mean score for all females is 77”
d) Do the preceding results show that the mean scores for males and females are the same?
e) Test the hypotheses that “There is no difference between the mean scores for male and female students” using =0.05
f) Do the result from part (e) differ from part (d) Explain.

Male Female
72 81
68 76
75 94
82 89
81 83
60 78
75 85
85 91
80 83
70 83
71 84
84 80
68 84
85 88
82 77
80 74
54 63
81 69
86 80
79 82
99 89
90 69
68 74
82 97
60 73
63 79
67 55
72 76
77 78
51 81
61
71
81
74
79
76

Help with a Discrete Math Question!?

Use the number variable "b" to represent Trina's board exam score and "m" to represent Trina's math placement test score. To take calculus the first semester, a student must:
have a board exam score of at least 600 or a math placement score of at least 25.
(i) Use the variables "b" and "m" to express the logic statement (in boldface above) that must be true for Trina to be allowed to take calculus in her first semester. Be sure to use inequalities.

(ii) Use the variables "b" and "m" to express the negation of the statement as well. Be sure to use inequalities and that your answer is in simplified form.

Thanks in advance!

Statistics Homework Help?

Please help me with this Statistics question:

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 518 and standard deviation 114. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20.7 and standard deviation 5.0. Find the standardized scores for both students. Assuming that both tests measure the same kind of ability, who has the higher score?


Any help will be greatly appreciated! I'm not sure at all how to go about doing this. Details on how to find the answer would be nice :)

A random sample of 77 eighth grade scores on a nation mathematics assessment test has a mean score of 279 with?

A random sample of 77 eighth grade scores on a nation mathematics assessment test has a mean score of 279 with a standard deviation of 30. This test results prompts a state school administrator to declare that the mean score for that state;s eighth graders on this exam is more than 275. At a= 0.07, is there enough evidence to support the administrator's claim? Complete parts(a) though(e).

Now this is the part I am having trouble on:
B. Find the standardized test statistic z, and its corresponding area. If convenient, use technology.
z= (round to two decimal places as needed.)
Area= (round to four decimal places as needed.)


C. Find the P-value. If convenient , use technology.
P-Value= (round to four decimals places as needed.)

Normal distribution, mean, standard deviation...City school 8th graders take a math assessment?

City school 8th graders take a math assessment test every year (mean = 276.1, s = 34.4). Scores could range from 0 to 500. Assume scores are normally distributed. If 2000 students are randomly selected, how many will have a test scores that is less than 300?
26 students
1509.8
75.49%
490 students

Statistics help?

In a recent year grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 276.1 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
Find the probability that a student had a score higher than 325.
Find the probability that a student had a score between 250 and 305.
What percentage of the students had a test score that is greater than 250?
If 2000 students are randomly selected, how many will have a test score that is less than 300?
What is the lowest score that would place a student in the top 5% ofthe scores?
What is the highest score that would place a student in the bottom 25% of the scores?
A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 300?
Are you more likely to randomly select one student with a test score greater than 300, or are you more likely to select a sample of students with a mean test score greater than 300? Explain.

Statistics Question Need Help Me!!?

You have n=79,

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