0
Assuming a normal distribution:
If 16% are less than 307, then 84% are greater than 307.
Using single tailed normal tables we want the z value which gives 84%-50% = 34% = 0.34 to the left of the mean; this is z ≈ -0.995
z = (value - mean)/standard deviation
→ standard deviation = (value - mean)/z ≈ (307 - 312)/-0.995 ≈ 5.03
The z value of 322 is z ≈ (322 - 312)/5.03 ≈ 1.99
Using the single tailed tables give the value of the normal distribution for z = 1.99 as approx 0.477 to the right of the mean.
This means that 0.477 + 0.5 = 0.977 are less than 322
→ 1 - 0.977 = 0.023 = 2.3 % are greater than 322
→ probability greater than 322 is 2.3%
What else can I help you with?
In a school, 22% of the students are sixth graders. What is the probability that a randomly chosen student will not be a sixth grader?
50 percent
5000 students participated in a certain test yielding a result that follows the normal distribution with means of 65 points and standard deviation of 10 points.?
5000 students participated in a certain test yielding a result that follows the normal distribution with means of 65 points and standard deviation of 10 points.(1) Find the probability of a certain student marking more than 75 points and less than 85 points inclusive.(2) A student needs more than what point to be positioned within top 5% of the participants in this test?(3) A student with more than what point can be positioned within top 100 students?i dont understand the question.. could you help me??pls....
If a student is picked at random what is the probability that heshe received an A on hiher final?
If a student is picked at random what is the probability that he/she received an A on his/her fina?
The distribution of the amount of change in UF student's pockets has an average of 2.02 dollars and a standard deviation of 3.00 dollars Suppose that a random sample of 45 UF students was taken and ea?
It would be approximately normal with a mean of 2.02 dollars and a standard error of 3.00 dollars.
What is the probability that two students will think of the same letter of the alphabet at the same time?
I think it depends on how many students are thinking of alphabet letters at the same time :) The first student will think of a letter from the English alphabet. Then, the second student will think of a letter. The probability that the second student will select what the first student selected is 1/26.
What is the probability of a student getting a score of more than 505 with a mean of 505 and a standard deviation of 110?
The probability is 0.5
What is percent deviation?
Percent deviation is a measure of how much a value deviates, or differs, from a standard or expected value. It is calculated by taking the absolute difference between the measured value and the standard value, dividing by the standard value, and then multiplying by 100 to express it as a percentage.
A student determines the density of a mineral to be 1.5 grams per cubic centimeterIf the accepted value is 2.0 grams per cubic centimeter what is the student's percent deviation?
The student's percent deviation is 25%, calculated as (|1.5 - 2.0| / 2.0) * 100%.
What is the probability for a student in a dormitory to be selected if 10 percent of the students live in dormitories and a random sample of 100 is selected?
The probability is 10 percent.
What is The average IQ for a student in the UK?
The average IQ for a student in the UK is around 100, which is considered to be in the normal range. IQ scores are standardized to have a mean of 100 and a standard deviation of 15.
In a school, 22% of the students are sixth graders. What is the probability that a randomly chosen student will not be a sixth grader?
50 percent
What is the probability of asking a student at your school what grade he or she is in?
The probability is indeterminate. I might ask a student or I might not.
What is the minimum grade a student must get in order to receive an A's if the mean grade was 72 and the standard deviation was 9?
Different examinations have different thresholds for A grades.
When the population standard deviation is not known?
Context of this question is not clear because it is NOT a full question. However when attempting to estimate an parameter such as µ using sample data when the population standard deviation σ is unknown, we have to estimate the standard deviation of the population using a stastitic called s where _ Σ(x-x)² s = ▬▬▬▬ n -1 _ and estimator for µ , in particular x ........................................._ has a standard deviation of s(x)= s/√n and the statistic _ x - hypothesized µ T = ▬▬▬▬▬▬▬▬▬▬ s has a student's T distribution with n-1 degrees of freedom If n> 30 , then by the Central Limit Theorem, the T distribution approaches the shape and form of the normal(gaussian) probability distribution and the Z table may be used to find needed critical statistical values for hypothesis tests , p-values, and interval estimates.
If a student is picked at random what is the probability that heshe received an A on hiher final?
If a student is picked at random what is the probability that he/she received an A on his/her fina?
5000 students participated in a certain test yielding a result that follows the normal distribution with means of 65 points and standard deviation of 10 points.?
5000 students participated in a certain test yielding a result that follows the normal distribution with means of 65 points and standard deviation of 10 points.(1) Find the probability of a certain student marking more than 75 points and less than 85 points inclusive.(2) A student needs more than what point to be positioned within top 5% of the participants in this test?(3) A student with more than what point can be positioned within top 100 students?i dont understand the question.. could you help me??pls....
A class can read an average of 175 wpm with a standard deviation of 20wpm. The top 3percent in the class get an award.What is the minimum number of wpm a student would have to read to get an award?
213 213
