Business
Engineering
Math
Science
Social ScienceEntry to a certain University is determined by a national test. The scores on this test are normallydistributed with a mean of 492 and a standard deviation of 87. Use this information to answerquestions 12-18.12) Based on the empirical rule, 68% of the data will fall within what interval?13) Based on the empirical rule, 95% of the data will fall within what interval?14) Based on the empirical rule, 99.7% of the data will fall within what interval?15) What is the probability that a randomly selected student will score less than 492 on the test?16) What proportion of test scores will be greater than 675 on the test?17) What percentage of scores on the test will be between 330 and 430?18) Suppose you must score better than 70% of the students who took the test to be admitted tothe University. What must you score to be admitted?
Need answers to questions 15 -18.
Image Transcriptionclose
Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 492 and a standard deviation of 87. Use this information to answer questions 12-18. 12) Based on the empirical rule, 68% of the data will fall within what interval? 13) Based on the empirical rule, 95% of the data will fall within what interval? 14) Based on the empirical rule, 99.7% of the data will fall within what interval? 15) What is the probability that a randomly selected student will score less than 492 on the test? 16) What proportion of test scores will be greater than 675 on the test? 17) What percentage of scores on the test will be between 330 and 430? 18) Suppose you must score better than 70% of the students who took the test to be admitted to the University. What must you score to be admitted?
Expert Answer
Hey there! Thank you for posting the question. Since there are multiple questions posted, we will answer first question. If you want any specific question to be answered then please submit that ques...
Math
Statistics
Advanced Topics in Statistics
Related Statistics Q&A
Q: Hello, I am completely stuck on finding frequency distributions. I do not understand the process can...
A: Given data set is17.7, 28.7, 19.2, 27.9, 33.5, 22.3, 22.4, 44.9, 26.5, 18.3, 27.7, 31.8, 23.8, 28.6,...
Q: Diastolic blood pressure is a measure of the pressure when arteries rest between heartbeats. Suppose...
A: From the given information,Let x be random variable that follows normal distribution with mean of 69...
Q: Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United St...
A: Solution:a.The distribution of sample means is identified below: Central limit theorem:If the sample...
Q: Tanya takes her Physics test and is told that her Z-score is 3.10. If the class mean was 75 and the ...
A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...
Q: An investigator wants to estimate the impact of smoking on the incidence of prostate cancer. The inc...
A: Note: Hi there! Thanks for posting the question. It is not clear from your question that what to cal...
Q: Part b. Please show TI 84 steps
A: Confidence interval when population standard deviation is not known:The formula of confidence interv...
Q: A statistics professor announces that 15% of the grades he gives are As. The results of the final ex...
A: It is given that the mean and standard deviation are 83 and 6, respectively.
Q: Please see picture
A: In this context, it is assumed that the n students are selected at random without replacement from a...
Q: Suppose an individual was studying temperature’s effect on the crime rate. The researcher looked at ...
A: Solution:The sample mean is obtained below:From the given information, number of observations is 6 a...
