Question

A principal at a certain school claims that the students in his school are above average...

A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal’s claim? The IQ of the population (Random Variable X) is assumed to be a normal distribution. The mean population IQ is 100 with a standard deviation of 15. 1. Find the rejection region area (given by your alpha level 0.05) from the z-table. An area of .05 is equal to a z-score of 1.645 (one-tail test) 2. What happens if you had a sample size of 100 with the sample average of 112.5?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The solution to this problem is given by

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A principal claims the students in his school have above-average test scores for a particular standardized...
A principal claims the students in his school have above-average test scores for a particular standardized test. A sample of 50 students from his school were found to have an average test score of 77.2. The population mean for test scores for this particular test is 75, with a standard deviation of 9 (so we can assume that the population test score is normally distributed). Set up a hypothesis test to determine whether this principal’s claim is correct (use alpha...
In the population, IQ scores are normally distributed with a mean of 100. A charter school...
In the population, IQ scores are normally distributed with a mean of 100. A charter school wants to know if their students have an IQ that is higher than the population mean. They take a random sample of 15 students and find that they have a mean IQ of 109 with a sample standard deviation of 20. Test at 1% significance level whether the average IQ score in this school is higher than the population mean. a) Write down null...
A recent national survey found that high school students watched an average (mean) of 7.2 DVDs...
A recent national survey found that high school students watched an average (mean) of 7.2 DVDs per month with a population standard deviation of 0.90 hour. The distribution of DVDs watched per month follows the normal distribution. A random sample of 35 college students revealed that the mean number of DVDs watched last month was 6.20. At the 0.05 significance level, can we conclude that college students watch fewer DVDs a month than high school students? b. State the decision...
The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized...
The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points. As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 16 students with the disorder. Determine the margin of error,...
The population IQ score was collected from a national-wide test. The mean population IQ score is...
The population IQ score was collected from a national-wide test. The mean population IQ score is 101 and with a stand deviation of 15. The data of original population follows the normal distribution. Use the Z-score table provided to answer the following questions: (1) What is the Z score for IQ score = 95? Answer:  (Please report your answer to 3 decimal places.) (2) What is the Z score for IQ score = 110? Answer:  (Please report your answer to 3 decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less than 100 at the .05 significance level. You determine the hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple random sample of 38 individuals and find the mean IQ score is 98.8, with a standard deviation of 15.9. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with...
A citizen claims that the intelligence of children in a particular community is below average. To...
A citizen claims that the intelligence of children in a particular community is below average. To test this claim, he selects a simple random sample consisting n=10 children from this population. Score of the intelligence test typically normally distributed with a population mean 100 and a standard deviation 15. The sample mean is 98. We want to test whether the intelligence score of children in this community was significantly less than 100 (one-sided) at 95% confidence level. Assuming that the...
A researcher would like to determine the average score on achievement tests among high school seniors...
A researcher would like to determine the average score on achievement tests among high school seniors attending Boulder High. A sample of n=100 students is selected and each student takes the test. The average score of the sample is 44 with an estimated standard deviation of 12 (this was estimated from the sample). Test the null hypothesis that the population mean of Boulder High students is actually 40. Note that the t-critical value for this degree of freedom is +/-...
A principal suspects that the current students at his school will perform different than students in...
A principal suspects that the current students at his school will perform different than students in previous years on a mathematics assessment. From previous years, 40% of the students achieved a superior rating, 40% achieved a passing rating, 10% achieved a remedial rating, and 10% achieved a failing rating. The principal collected the following information from a random sample of 1000 student files from the current school year. Would you agree with the principals hypothesis based on the sample information?...
The Stanford-Binet IQ test has scores that are normally distributed with a mean of 100. A...
The Stanford-Binet IQ test has scores that are normally distributed with a mean of 100. A principal in an elementary school believes that her students have above average intelligence and wants verification of her belief. She randomly selects 20 students and checks the student files. She finds the following IQ scores for these 20 students. IQ scores: 110,132, 98, 97, 115, 145, 77, 130, 114, 128, 89, 101, 92, 85, 112, 79, 139, 102, 103, 89 a. Compute the sample...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT