Suppose an educator believes average scores in a population on an important assessment examination equals 78. A random sample of 9 students gives a sample standard deviation s = 15 and a sample mean of 86. Test this hypothesis at the 0.05 and 0.01 levels.
Suppose an educator believes average scores in a population on an important assessment examination equals 78....
. An educator believes the average SAT scores among honors program students across the country exceeds 1250. A random sample of 16 honors program students is taken and the T score for that sample is found to be 1300. The sample standard deviation of scores (s) was calculated to be 160. Test the educator's claim at the 0.01 level of significance. (assume equatvarianees) (9 points)
A labor market analyst believes the average income for the United States equals $43,000. Suppose she knows that the population standard deviation of income (o) equals $7,500. A random sample of n = 900 has a mean income of $42,250. Test the analysts claim at the 0.05 level. What is the p-value of the test statistic? (9 points)
ofessor believes that the final examination scores in statistics distributed. A sample of 40 final s sample of 40 final scores has been taken. You are given the sample below. The mean of the scores is 83.1, and the standar the scores is 83.1, and the standard deviation is 10.43. 56 63 65 68 72 72 73 75 77 78 78 79 80 80 80 80 80 80 81 81 82 84 84 86 86 87 88 90 90 92...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At alpha=0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and...
A psychologist believes that students' test scores will be affected if they have too much caffeine before taking an exam. To examine this, she has a sample of n= 15 students drink five cups of coffee before taking an exam. She uses an exam that has a population mean of μ=72 and a population standard deviation of σ = 3. The mean test score for the sample of 15 students who drank five cups of coffee before taking the exam...
(4)Five hundred students from a local high school took a college entrance examination. Historical data from the school record show that the standard deviation of test scores is 40. A random sample of thirty- six students is taken from the entire population of 500 students. The mean test score for the sample is three hundred eighty. Find (a) 95% confidence interval for the unknown population mean test score. (b) 95% confidence interval for the unknown population mean test score if...
Suppose a geologist believes that the average chloride concentration in her local water supply is above the national average of 75 ppm. The geologist defines a null hypothesis, Ho:u = 75 ppm, to reflect the mean chloride concentration in the national water supply. She formulates an alternative hypothesis, H1: u > 75 ppm, to indicate that her locality has a higher concentration of chloride in its water supply, on average. In these hypotheses, y represents the true mean concentration of...
Suppose that the population of SAT scores is normally distributed with a mean of 1000 and a standard deviation of 100. To determine the effect of a course to prepare for the SAT, a random sample of 25 students who have taken the course is selected. The sample mean SAT is 1050. Do these data provide sufficient evidence at the 1% significance level to infer that students who take the course perform better on the SAT on average? Assume that...
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...
Algebra scores in a school district are normally distributed with a mean of 74 and standard deviation 6. A new teaching-and-learning system, intended to increase average scores, is introduced to a random sample of 30 students, and in the first year the average was 76. (a) What is the probability that an average as high as 76 would have been obtained under the old system? (b) What is the null hypothesis for testing the new system, and what is the...