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MATH SOLVE
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A school wishes to accept 2000 students for their freshman class, and they expect 20,000 applications. In order to make their admissions decisions very easy, the only criterion they will use is SAT score. So, their goal is to accept a student if and only if their SAT score is in the top 10%. However, because their computer system is so old, the applications only come in one at a time, and they must decide whether to accept or reject before moving on to the next application. Assuming that SAT scores are normally distributed with a mean of 1000 and a standard deviation of 200, how should they set the score threshold to end up with as close to 2000 students as possible? Give your answer first symbolically (in terms of a pdf, cdf, etc), then use a normal distribution table1 to provide a numerical answer.
General
3 months ago
Allele frequencies can change across the geographic range of a species according to climate, geological features, or direction in the range. For instance, a certain allele frequency might go up along with the elevation or down as you go south in the species' range. This systematic change in frequency is referred to as
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3 months ago
Students in a statistics class conduct a survey to estimate the mean number of units students at their college are enrolled in. The students took a random sample of 50 students from their college. The students calculated a 90% confidence interval to estimate the mean number of units students at their college are enrolled in. The confidence interval was too wide to provide a precise estimate. The students are strategizing about how to produce a narrower confidence interval. True or false? The students could produce a narrower confidence interval by increasing the confidence level to 95%. True False
General
3 months ago
A simple random sample of size nequals 81 is obtained from a population with mu equals 81 and sigma equals 18 . ?(a) Describe the sampling distribution of x overbar . ?(b) What is Upper P left parenthesis x overbar greater than 84.1 right parenthesis ?? ?(c) What is Upper P left parenthesis x overbar less than or equals 76.2 right parenthesis ?? ?(d) What is Upper P left parenthesis 79.3 less than x overbar less than 84.6 right parenthesis ?? ?(a) Choose the correct description of the shape of the sampling distribution of x overbar . A. The distribution is skewed right. B. The distribution is approximately normal. C. The distribution is skewed left. D. The distribution is uniform. E. The shape of the distribution is unknown. Find the mean and standard deviation of the sampling distribution of x overbar . mu Subscript x overbar equals sigma Subscript x overbar equals
General
3 months ago
A SAMPLE OF 16 FAMILIES WAS DRAWN FOR ANALYSIS OF THE AVERAGE GROCERY SPENDING. ASSUME THAT THE INDIVIDUAL WEEKLY RECORDS ARE NORMALLY DISTRIBUTED, WITH THE UNKNOWN POPULATION AVERAGE AND UNKNOWN POPULATION STANDARD DEVIATION. SAMPLE SUMMARIES WERE: (SAMPLE MEAN) = $154 AND (SAMPLE STANDARD DEVIATION) = $40. DO YOU HAVE SUFFICIENT EVIDENCE THAT THE POPULATION AVERAGE WOULD BE BELOW $172? USE THE SIGNIFICANCE LEVEL OF 10%.
General
3 months ago
Acceptance Sampling A shipment of 50,000 transistors arrives at a manufacturing plant. The quality control engineer at the plant obtains a random sample of 500 resistors and will reject the entire shipment if 10 or more of the resistors are defective. Suppose that 4% of the resistors in the whole shipment are defective. What is the probability the engineer accepts the shipment? Do you believe the acceptance policy of the engineer is sound?
General
3 months ago
Help is really needed!
General
3 months ago
A zoo has 15 toucans and 60 parrots. what is the ratio of the Number of toucans to the number of parrots at the zoo?
General
3 months ago
Evas cell phone plan allows her to send up to 125 text messages per month. If she sent 90 texts so far, what percent of her monthly message limit has she used?
General
3 months ago
A well-known bank credit card firm wishes to estimate the proportion of credit card holders who carry a nonzero balance at the end of the month and incur an interest charge. Assume that the desire margin of error is 0.03 at 98% confidence.a) How large a sample should be selected if it is anticipated that roughly 70% of the firm�s card holders carry a nonzero balance at the end of the month?b) How large a sample should be selected if no planning value for the proportion could be specified?
General
3 months ago
Please help my son with #3
General
3 months ago
For each question below, identify if first number is divisible by the second number, and if so, the reason why.Is 26 divisible by 2?A. NoB. Yes, because 2 + 6 = 8 and 8 is divisible by 2.C. Yes, because the last digit is 6, which is divisible by 2.Is 216 divisible by 3?A. NoB. Yes, because the sum of 2 + 1 + 6 = 9, which is divisible by 3.C. Yes, because the last digit is 6, which is divisible by 3.Is 40,100 divisible by 10?A. NoB. Yes, because there is a 10 in the number.C. Yes, because the last digit of the number is 0.Is 318 divisible by 9?A. NoB. Yes, because the last two digits are 18, which is divisible by 9.C. Yes, because the sum of the digits is 3 + 1 + 8 = 12, which is divisible by 3, and all numbers divisible by 3 are divisible by 9.Is 87,235 divisible by 5?A. NoB. Yes, because the last digit of the number is 5.C. Yes, because the sum of the digits is 8 + 7 + 2 + 3 + 5 = 25, which is divisible by 5.Is 43,121 divisible by 3?A. NoB. Yes, because the last two digits of the number are 21, which is divisible by 3.C. Yes, because the sum of the digits is 4 + 3 + 1 + 2 + 1 = 11, which is divisible by 3.Is 1, 112 divisible by 5?A. NoB. Yes, because the last digit in the number is 2.C. Yes, because 1 + 1 + 1 + 2 = 5, which is divisible by 5.Is 10,000,058 divisible by 10?A. NoB. Yes, because the last digit is an even number.C. Yes, because the first two digits of the number are 10.Is 94,032 divisibly by 9?A. NoB. Yes, because the sum of the digits is 9 + 4 + 0 + 3 + 2 = 18, which is divisible by 9.C. Yes, because the value of the first digit is 9, which is divisible by 9.Is 201,086 divisible by 2A. NoB. Yes, because all of the digits are even numbers.C. Yes, because the last digit in the number is 6, which is an even number.
General
3 months ago
Please Help!!Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.Option 1: $53 for each ticket plus a shipping fee of $10Option 2: $55 for each ticket and free shippingWhat is a system of equations to represent the costs of the tickets?Express your equations in the form of y=mx+b where x is the number of tickets purchased and y is the total cost.
General
3 months ago
Write a recursive formula for the sequence 7, 4, 1, –2, –5, .... Then find the next term. (1 point) an = an–1 – 3, where a1 = –8; 7 an = an–1 – 3, where a1 = 7; –8 an = an–1 + 3, where a1 = –3; 22 an = an–1 + 3, where a1 = 7; –8
General
3 months ago
The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x).The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x).What is the function definition of g(x)?g(x) =–21/22 (3.5x)What is the initial value of g(x)?–3.5–202What are the outputs for inputs of –1 and 1 in g(x)?g(−1) =–7–0.570.577g(1) =–7–0.570.577
General
3 months ago
qrs is an equilateral triangle.If QR is seven less than twice x,RS is 61 less than 5 times x,and QS is 11 more than x,find x and the measure of each side
General
3 months ago
HELP PLEASE! Thanks :)1. Select all irrational numbers. 10−−√ 27−−√ 49−−√ 64−−√ 99−−√2. Select all irrational numbers. 316−−√ 416−−√ 916−−√ 34√ 94√3. Select all numbers that are irrational. 144−−−√ π 0.45 8√
General
3 months ago
Please help! Select the graph for the solution of the open sentence. Click until the correct graph appears.|x| > 1 (Possible answers attached)Thanks in advance!
General
3 months ago
Segment RSRS is parallel to segment VTVT, and segment RVRV is parallel to segment STST. Which statement about the measure of ∠S∠S is NOT true?
General
3 months ago
HELP PLEASE! Thanks :)1. Select all irrational numbers.10−−√27−−√49−−√64−−√99−−√2. Select all irrational numbers.316−−√416−−√916−−√34√94√3. Select all numbers that are irrational.144−−−√π0.458√
General
3 months ago
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