At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation o = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.
The statistical software output for this problem is :
(b)
The 95% CI is :
(910 , 960)
(d) P-value = 0.006
At Western University the historical mean of scholarship examination scores for freshman applications is 900
At Western University, the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. State the hypotheses. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean x bar = 935?...
At Western University the historical mean of scholarship examination scores for freshman applications is 920. A historical population standard deviation o = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. Ho: u Select Ha: u Select b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications...
At Western University the historical mean of scholarship examination scores for freshman applications is 910. A historical population standard deviation = 190 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean = 935 (to the nearest whole...
- At Western University the historical mean of scholarship examination scores for freshman applications is 900. Each year the assistant dean uses a sample of applications to determine whether the mean examination score for new freshman applications has changed. (a) What hypotheses is the assistant dean testing each year? (b) This year for a sample of 75 freshman, the dean finds the sample average examination score to be 875. The dean also knows that 0 = 100. What is the...
At Southern University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation of ? = 100 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. A sample of 100 applications provided a sample mean of 890. Perform the appropriate hypothesis test using ? = 0.05. Steps for the Z test for M. (Section 9.3)...
(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...
It is reported that the ACT scores of freshman students at NMSU is approximately Normally distributed, with mean of 20.5 and standard deviation of 5.1. (1) (3pts) If the university decides to offer a scholarship to the top 2% of students, how high does a student need to score on ACT test to qualify for that scholarship? (No points will be given without proper steps) (2) (3pts) A math class has 20 freshmen enrolled. If we assume the 20 freshmen...
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 520 and a standard deviation of 175 The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 528. What is the probability that a sample of 35 exams will have a mean score of 528 or more if the exam scores follow the same distribution as in the past?
please help thank you in advance It is reported that the ACT scores of freshman students at NMSU is approximately Normally distributed, with mean of 21.1 and standard deviation of 4.5. (1) (3pts) If the university decides to offer a scholarship to the top 3% of students, how high does a student need to score on ACT test to qualify for that scholarship? (No points will be given without proper steps) (2)(3pts) A math class has 30 freshmen enrolled. If...
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 520 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 508. What is the probability that a sample of 35 exams will have a mean score of 508 or more if the exam scores follow the same distribution as in the past?Carry your...