2. The mean IQ of a sample of 1600 children was 99. Is it likely that this was a random sample from a population with mean IQ 100 and standard deviation 15?
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- Imagine that for those who meditate daily, the number of minutes in meditations has a mean 31 and a standard deviation 9, in a group of 100 such persons, how many are expected to meditate more than 38 mins per day ?2. 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 qualifications?2. The average number of customers that visited a particular store during the past year is 160 per day and a standard deviation of 25 customers per day. A random sample of 64 days is chosen from this population. The standard deviation of the sample mean equals: a. 12.649. b. 25.0. c. 2.56. d. 3.125. е. 8.0
- 1. Suppose 30 students were chosen randomly, what is the probability that their mean IQ score is between 95 and 100? Solve and interpret the problem comprehensively. The average IQ score is 100 with a standard deviation of 15.14. A study using two random samples of 35 people each found that the average amount of time those in the age group of 26-35 years spent per week on leisure activities was 39.6 hours, and those in the age group of 46-55 years spent 35.4 hours Assume that the population standard deviation for those in the first age group found by previous studies is 6.3 hours, and the population standard deviation of those in the second group found by previous studies was 5.8 hours. At a = 0.05, can it be concluded that there is a significant difference in the average time each group spends on leisure activities?The standard IQ test has a mean of 99, and a standard deviation of 16. We want to be 90% certain that we are within 5 IQ points of the true mean. Determine the required sample size.
- Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores on an English test have a mean 60 and standard deviation 10. Bob gets 80 on both tests. a) On which test did Bob do better relative to his classmates? Explain. b) The scores on the tests each approximately follow a normal distribution and there are 50 students in each class How many students did better than Bob in each case? Page 8 of 1112. A score that is 6 points below the mean corresponds to a z-score of z -2.00. What is the population %3D standard deviation? spondsIn a specific year, SAT scores were Normally distributed with mean 1026 and standard deviation 209; i. e. N(1026,209)N(1026,209). What proportion of these scores will be above 1500?
- 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?the height of American men is normally distributed with a mean of 70 in and a standard deviation of 3 in. what are the heights in inches that define the most extreme 8% of the population of American men?
