Age group the mean score on an achievement test

Assignment Help Basic Statistics

Reference no: EM131137747

A random sample of size 64 is to be used to test the null hypothesis that for a certain age group the mean score on an achievement test (the mean of a normal population with σ² = 256) is less than or equal to 40.0 against the alternative that it is greater than 40.0. If the null hypothesis is to be rejected if and only if the mean of the random sample exceeds 43.5, find

(a) the probabilities of type I errors when μ = 37.0, 38.0, 39.0, and 40.0;

(b) the probabilities of type II errors when μ = 41.0, 42.0, 43.0, 44.0, 45.0, 46.0, 47.0, and 48.0. Also plot the power function of this test criterion.

Reference no: EM131137747

Questions Cloud

Find the comparative advantage of the us : the comparative advantage of the U. S., where its absolute productivity advantage is relatively greatest, lies with refrigerators.

Which one best describes the asymptotic class : Let f(n) = n (n + 1) / 2. Of the following possibilities, state which are true about f and of those, which one best describes the asymptotic class of f?

Why you periodically change the key used to encrypt messages : Why should you periodically change the key used to encrypt messages? What attack is more likely to succeed if a key has been used frequently? How frequently should the key be changed?

Created million steps program : A high-tech company has created a "Million Steps Program" in which it urges its employees to walk one million steps by walking 10,000 steps every day. The company is giving out rewards to employees who reach the goal. Most of the employees don't real..

Age group the mean score on an achievement test : A random sample of size 64 is to be used to test the null hypothesis that for a certain age group the mean score on an achievement test (the mean of a normal population with σ2 = 256) is less than or equal to 40.0 against the alternative that it i..

Provide several examples of potential vision statements : Vision statements should be massively inspiring, overarching, and long term. Provide several examples of potential vision statements for various organizations and discuss how such vision statements would inspire employees around a cause.

The sum of the values obtained in a random sample : The sum of the values obtained in a random sample of size n = 5 is to be used to test the null hypothesis that on the average there are more than two accidents per week at a certain intersection (that λ > 2 for this Poisson population) against the..

Why is each ideal important to us culture : Why is each ideal important to US culture? What is the significance of each in relation to other political systems not based on US democracy?

Major elements of total compensation package : What are the major elements of a total compensation package? Why and how do the elements of the total compensation packages need to change over time in order for the organization to remain competitive in the marketplace?

User Account

All Pages