Question

In: Statistics and Probability

Teachers at a particular private school thought that they were doing an exceptional job. In order...

Teachers at a particular private school thought that they were doing an exceptional job. In order to determine just how good their school was doing, they decided to have 200 of their students undergo intelligence testing just prior to graduation. The particular intelligence test they used is normed to have a mean of 100 and a standard deviation of 15 in the population. The students from the private school scored an average of 97 over the three years that testing was conducted. They wanted to test whether the average score from the private school students was different than the population mean.

a) What is the appropriate model of the population distribution?

b) What are the appropriate hypotheses for this analysis?

c) What is/are the critical value(s) for this test using an alpha of 0.01?

d) What is the observed value of the appropriate test statistic?

e) What is your decision regarding the stated hypotheses?

f) Was the school doing an exceptional job based on their students’ IQs?

bold answers.

Solutions

Expert Solution

​​​​​​


Related Solutions

Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,500. We randomly survey ten teachers from that district. 1.Find the probability that the teachers earn a total of over $400,000 2.If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part d? 3.If each of the 70 teachers received a $3,000 raise, graphically, how would that change the distribution in part...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,500. We randomly survey ten teachers from that district. Find the 85th percentile for the sum of the sampled teacher's salaries to 2 decimal places.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,100. We randomly survey ten teachers from that district. A. Give the distribution of ΣX. (Round your answers to two decimal places.) ΣX - N ( , ) B. Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) C. Find the 80th percentile for an individual teacher's salary....
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $46,000 and a standard deviation of $4,900. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.) (a) Find the 90th percentile for an individual teacher's salary. (b) Find the 90th percentile for the average teacher's salary.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $46,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.) A) Find the 90th percentile for an individual teacher's salary. B)Find the 90th percentile for the average teacher's salary.
Salaries for teachers in a particular elementary school district have a mean of $44,000 and a...
Salaries for teachers in a particular elementary school district have a mean of $44,000 and a standard deviation of $6,500. We randomly survey 36 teachers from that district. Why can we say the sampling distribution of mean salaries for teachers in this district is approximately normal? Find the probability that the mean salary is less than $43,000. Find the probability that the mean salary is between $45,000 and $47,000.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $42,000 and a standard deviation of $5,700. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.) (a) Find the 90th percentile for an individual teacher's salary. $ = (b) Find the 90th percentile for the average teacher's salary. $ =
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,300. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.) (a) Find the 90th percentile for an individual teacher's salary. (b) Find the 90th percentile for the average teacher's salary. A typical adult has an average IQ score of 105 with a standard deviation of 20. If 19 randomly selected adults are...
7.75 p. 428 Salaries for teachers in a particular elementary school district are normally distributed with...
7.75 p. 428 Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,500. We randomly survey ten teachers from that district. a. In words, X = ______________ b. X ~ _____(_____,_____) c. In words, ΣX = _____________ d. ΣX ~ _____(_____,_____) e. Find the probability that the teachers earn a total of over $400,000. f. Find the 90th percentile for an individual teacher's salary. g. Find the...
: A researcher is interested in whether salaries for middle school teachers were less than salaries...
: A researcher is interested in whether salaries for middle school teachers were less than salaries for nurses in Arkansas. A statewide salary survey is conducted using random sampling. The Data Analysis output for the various tests used when comparing two group means are shown below. The significance level was .05. F-Test Two-Sample for Variances Teachers Nurses Mean 45946.07 53365.13 Variance 68256753 86820446 Observations 300 300 df 299 299 F 0.7862 P(F<=f) one-tail 0.0190 F Critical one-tail 0.8265 t-Test: Paired...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT