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3 years ago

An AP Statistics teacher grades using z-scores. On the second major exam of the

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

E. The student scored 1.3 standard deviations lower on the second exam than the class average on the second exam.

Step-by-step explanation:

Whenever we have a negative z-score, this means that the raw score is a certain standard deviation below the mean average.

From the above question, we are told that:

An AP Statistics teacher grades using z-scores. On the second major exam of the grading period, a student receives a grade with a z-score of -1.3.

This means the students score in the second major exam is 1.3 standard deviations below the average score in the second major exam.

Hence, according to the options given in the above question, the correct interpretation of this grade is

The student scored 1.3 standard deviations lower on the second exam than the class average on the second exam.

Option E is the correct option.

You might be interested in

A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exa

yarga [219]

Answer:

$z= \frac{85-70}{10}=1.5$

$z= \frac{45-35}{5}=2$

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

Step-by-step explanation:

Assuming this complete question:

A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:

Our student: Final exam score = 85; Class: M = 70; SD = 10.

His friend: Final exam score = 45; Class: M = 35; SD = 5.

The Z score for the student and his friend are:

A) Our student, Z= -1.07; his friend, Z= -1.14.

B) Our student, Z= 1.50; his friend, Z=2.00.

C) Our student, Z= 1.07; his friend, Z= -1.14.

D) Our student, Z= 1.07; his friend, Z= 1.50

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution

Let X the random variable that represent the scores for our student, and for this case we know that:

$E(X)= \mu =70, SD_X=\sigma=10$

The z score is given by:

$z=\frac{x-\mu}{\sigma}$

If we use this we got:

$z= \frac{85-70}{10}=1.5$

Let Y the random variable that represent the scores for his friend, and for this case we know that:

$E(Y)= \mu =35, SD_Y=\sigma=5$

The z score is given by:

$z=\frac{y-\mu}{\sigma}$

If we use this we got:

$z= \frac{45-35}{5}=2$

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

3 0

3 years ago

Jerry can complete a sales route by himself in 5 hours. Working with an associate, he can complete a sales route in 3 hours. Ho

prohojiy [21]

Answer:

I think it is 2 hrs... if there are not any extra variables.

Step-by-step explanation:

7 0

3 years ago

Georgia kassem installs fencing. she is paid $7.50 per hour for an 8-hour day and time and a half for overtime for any work over

Dominik [7]

Georgia worked overtime on 4 of the 5 days. Her total overtime hours were

... (12-8) +(9 -8) +(10 -8) +(10 -8) = 4 +1 +2 +2 = 9

Then her pay for the week is

... (hours) × (pay per hour)

... = ((7 + 4×8) +1.5×9) × $7.50

... = 52.5 × $7.50

... = $393.75 . . . . Georgia's gross pay for the week

_____

Pay for "time and a half" can be computed by multiplying pay by 1.5 for overtime hours, or multiplying overtime hours by 1.5 and using straight pay. Either way, it is (overtime hours)×(1.5)×(straight pay).

4 0

3 years ago

Read 2 more answers

Makayla's local movie theater has a moviegoer club that charges an annual registration fee of 25 dollars.However, movie tickets

Rudik [331]

Integers are any whole number(not fraction) that can be possitive or negative however she can not buy a negative amount of tickets so that is not the answer
whole numbers are any not fraction number that is positive this is a possible answer
rational numbers are any number that is terminates if it is a decimal or is a repeating decimal this does not include decimals like pi that don't end and dont repeat this cant be the answer
a real number is any number rational or irrational this also cant be the answer

the answer is B
i hope i made sense

3 0

3 years ago

In the triangle below, what is tan F?

nydimaria [60]

Hope this helps you..!!!

7 0

3 years ago