6. The IQs of 600 applicants of a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of these students will be rejected on this basis regardless of their other qualification? The average starting salary for a data analyst is Php 40,000 and a standard deviation of 5,000. A randomsample of size 50 is drawn from the population. Find the probability that the sample mean X is less than1.30,000.2.A population has mean 555 and standard deviation 40.Find the mean and standard deviation of sample means for samples of size 50.Find the probability that the mean of a sample of size 50 will be more than 570.A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles.Five such tires are manufactured and tested. On the assumption that the actual population mean is3.38,500 miles and the actual population standard deviation is 2,500 miles, find the probability that thesample mean will be less than 35,000 miles. Assume that the distribution of lifetimes of such tires isnormal.4.A normally distributed population has mean 1,200 and standard deviation 120.Find the probability that a single randomly selected element X of the population is between 1,100 and1,300.Find the mean and standard deviation of X for samples of size 25.Find the probability that the mean of a sample of size 25 drawn from this population is between 1,100and 1,300.5.Scores on an entrance exam in a large university, freshman course are normally distributed with mean 72.5and standard deviation 13.0.Find the probability that the score X on a randomly selected exam paper is between 70 and 80.Find the probability that the mean score X of 40 randomly selected exam papers is between 70 and 80.

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The average starting salary for a data analyst is Php 40,000 and a standard deviation of 5,000. A random sample of size 50 is drawn from the population. Find the probability that the sample mean X is less than 30,000.

The average starting salary for a data analyst is Php 40,000 and a standard deviation of 5,000. A random sample of size 50 is drawn from the population. Find the probability that the sample mean X is less than 30,000.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that you randomly survey death records for people born in 1900 in Louisiana and compared the life span of two different ethnicities. Of the 109 individuals sampled from ethnicity 1, the mean life span was 45.5 years with a standard deviation of 18.2 years. Of the 105 individuals sampled from ethnicity 2, the mean life span was 44.9 years with a standard deviation of 11.4 years. Conduct a hypothesis test with a 10% level of significance to see if the mean life spans in Louisiana were the same for the two ethnicities. Step 1: State the null and alternative hypotheses. Ho: µ1 – µ2 =v Ha:H1 – µ2 # v (So we will be performing a two-tailed ♥ test.)
25. Most of schools require applications for admission to take Graduate Management admission GMAT examination. Scores for this GMAT is normally distributed with a mean of 580 and standard deviation of 13. How high must an individual score on GMAT to score in the lowest 5%. II
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Suppose that IQ scores have a bell shaped distribution with a mean up 104 and a standard deviation of 17. Using the empirical rule, what percentage of accused scores are between 70 and 138?
13)Many graduate schools require applicants to take the GRE for admission. The mean GRE score worldwide is 149.7 with a standard deviation of 8.2. The recommended overall GRE score for admission at UC Berkeley is 153 Q) If an applicant were to obtain a score of 123, how many standard deviations away is this score from the mean?
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1) After 5 pts were added to every score in a sample the mean is found to be 62 and the standard deviation is 12. What were the values for the mean and SD before the change? Explain
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