This video walks through a hypothesis testing example using the critical value method. In this example, sigma (the population standard deviation) is known. So, it's a z-test, NOT a t-test. This is important!
You may not have a million subscribers and you may not make profit by making these videos... But I want to thank you, you are brilliant teacher and quite possibly have saved me from failing. God bless you!
I used to get stuck when finding critical values, but all thanks to you sir for clearing my doubts today. i have understood everything may GOD richly bless you sir.
: It is crucial that the variance of a production process be less than or equal to 25. A sample of 22 is taken. The sample variance equaled 26. a. Construct a 90% confidence interval for the population variance. b. Construct a 90% confidence interval for the population standard deviation. c. State the null and alternative hypotheses to be tested. d. Compute the test statistic. e. The null hypothesis is to be tested at the 10% level of significance. Using the critical value approach, state the decision rule for the test. f. What do you conclude about the population variance?
Hi, I like you explanation but I am a little confused with how you derived the critical value -1.64. Since this is a left tail test with alpha .05, shouldn't the Z critical value be -1.96 (95%) instead?