A test was made of Ho: 41 = 42 versus H1: 41 <4z. The sample means were x, = 7 and x, = 11, the sample standard deviations were s1 = 6 and s2 = 4, and the sample sizes were " = 10 and n2 = 18. Compute the value of the test statistic. -4.411 -2.935 -0.555 -1.888

A random variable X is normally distributed. It has a mean of 236 and a standard deviation of 25. Q/ For a sample of size 16, state the mean and the standard deviation of the sampling distribution of the sample mean.

A1:Q12. You are given n = 8 measurements: 5, 4, 6, 7, 6, 7, 3, 7. Calculate the range, the _ sample mean (x), the sample variance (s^2), and standard deviation (s). (Round your variance to four decimal places and your standard deviation to two decimal places.) Compare the range and the standard deviation. The range is approximately how many standard deviations? (Round your answer to two decimal places.) standard deviations=

I wanted to test if the mean Exam 3 score in this course was different than the mean Exam 2 score. To conduct this test I used the 30 students in my course last semester as my sample. I first calculated the difference in scores between Exam 2 and Exam 3 ("Exam 2 score - Exam 3 score"). The sample mean of these differences is 2.0 and the sample standard deviation of the differences is 3.0. What is the alternative hypothesis of this test?  Group of answer choices The mean difference between exam scores is equal to 0 The mean difference between exam scores is not equal to 0 The mean difference between exam scores is not equal to 2.0 The mean difference between exam scores is equal to 2.0

A set of exam scores is normally distributed with a mean = 82 and standard deviation = 7.% of the exam scores are between 89 and 96.% of the exam scores are greater than or equal to 75.

Given the sample data. x: 21 17 13 30 27 (a). Find the range. (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (Round your answers to two decimal places.) --Find s^2 and s

The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. You want to find the probability of selecting sample of 36 teams with a mean of 143 points or more. What is the z-score for a sample mean of 143 points? Round your z-score to 2 decimal places.

What is the 87.7 percentile of X~N(12,3)

The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines that for the sample, the mean score is112with a standard deviation of12.If we assume that the scores that the student athletes obtained follow an approximately normal distribution, is there enough evidence to conclude, at the level of significance of 0.05, which standard deviation is higher among student athletes? Perform a two-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: 0 0 (b) (c) (d) h ! 1 0 Determine which type of test statistic to use. (Choose an option) Find the value of the test…

The College Board reported that the average number of freshman class applications to public colleges and universities are 6000 (USAToday, December26, 2002). During a recent application/enrollment period, a sample of 32 colleges and universities showed that the sample mean number of freshman class applications was 5812 with a sample standard deviation of 1140. Do the data indicate a change in the mean number of applications. Use α # .05.