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olya-2409 [2.1K]
3 years ago
10

Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certific

ates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.

Step-by-step explanation:

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3 years ago
In a grouped frequency distribution one interval is listed as 50-54. Assuming that the scores are measuring a continuous variabl
aliina [53]

Answer:

a. 49.5 and 54.5

Step-by-step explanation:

Class interval is a range of a value that is used to group data into equal size for easy analysis and representation of the data. It is applicable in the divisions of a histogram or bar chart into classes.  Examples of class interval are 50-54, 55-59, 60-64, 65-69, 70-74 etc.

Class limit is the minimum and maximum value the class interval may contain. The minimum value is called the lower class limit and the maximum value is called the upper class limit. For class interval 50-54, the lower class limit is 50 and the upper class limit is 54.

Class boundaries are the numbers used to separate classes. It is the real limits of a class. For non-overlapping classes, the lower class boundary of each class is calculated by subtracting 0.5 from the lower class limit. The upper class boundary of each class is calculated by adding 0.5 to the upper class limit. Example: For class interval 50-54, the lower class boundary is 49.5 and the upper class class boundary is 54.5

Considering the question given, to get the real limits of the interval 50-54, 0.5 is subtracted from the lower class limit to give 49.5. Also, 0.5 is added to the upper class limit to give 54.5.

4 0
4 years ago
The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of
katen-ka-za [31]

Answer:  The explanation is correct.

Step-by-step explanation:

The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."

Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.

Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in  (107.8, 116.2).

i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.

Hence, the  explanation is absolutely "correct" .

7 0
4 years ago
Can someone please answer this thanks
Alex
I believe the answer is B
4 0
3 years ago
Read 2 more answers
Solve this problem and give the total cost
Jlenok [28]
F(h)= 20 +25h

next plug in the hours but first you need to take the minutes and transfer them to hours 

120 minutes = 2 hours

so you plug in 20 + 25(2)

that equals 70

therefor your answers are

f(h)= 20 +25h
and
$70
5 0
3 years ago
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