6. Hypothesis Testing and the Comparison of 2 or More Populations
... 1. Set up the Hypothesis Statement. (Null: all means are equal) 2. Collect the sample data. 3. Select level of significance –> α = 0.05. 4. Calculate the overall average. 5. a) Estimate 2 via sum of squares due to treatments (SSTR). b) estimate of 2 via sum of squares due to error (SSE). 6. If Nul ...
... 1. Set up the Hypothesis Statement. (Null: all means are equal) 2. Collect the sample data. 3. Select level of significance –> α = 0.05. 4. Calculate the overall average. 5. a) Estimate 2 via sum of squares due to treatments (SSTR). b) estimate of 2 via sum of squares due to error (SSE). 6. If Nul ...
sample size consideration in clinical research
... be able to detect a situation where the treatment mean is 15 mmHg lower than the control group. • The required effect size is Δ= −15. • We specify that such an effect be detected with 80% power (1-β= .80) when the significance level α = .05. • Past experience with similar study-with similar sphygmom ...
... be able to detect a situation where the treatment mean is 15 mmHg lower than the control group. • The required effect size is Δ= −15. • We specify that such an effect be detected with 80% power (1-β= .80) when the significance level α = .05. • Past experience with similar study-with similar sphygmom ...
Document
... Probability of Type II Error • Analyst directly selects the type I error probability • Probability of type II error depends on the choice of sample size • Considering a two-sided test, the probability of the type II error is the probability that Z0 falls between Z/2 and Z/2 given that H1 is true ...
... Probability of Type II Error • Analyst directly selects the type I error probability • Probability of type II error depends on the choice of sample size • Considering a two-sided test, the probability of the type II error is the probability that Z0 falls between Z/2 and Z/2 given that H1 is true ...
Reject H 0
... Hypothesis Tests The logic behind a confidence interval is that if we build an interval around a sample value there is a high likelihood that the population value will be captured in the interval. The logic behind a hypothesis test is that if we build an interval around a hypothesized value and the ...
... Hypothesis Tests The logic behind a confidence interval is that if we build an interval around a sample value there is a high likelihood that the population value will be captured in the interval. The logic behind a hypothesis test is that if we build an interval around a hypothesized value and the ...
31. A new weight-watching company, Weight Reducers International
... We cannot reject the null hypothesis. We don’t have sufficient evidence to conclude that there is a difference in the amounts quoted. 23. A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks f ...
... We cannot reject the null hypothesis. We don’t have sufficient evidence to conclude that there is a difference in the amounts quoted. 23. A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks f ...
Estimating the Effect of Crime Risk on Property Values and Time on
... Hypothesis Testing Problem: A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 217.222 and a standard deviation of ...
... Hypothesis Testing Problem: A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 217.222 and a standard deviation of ...
Answer Key
... INTERPRET: Because our p-value of 0.0127 is less than our significance level of 0.05, we can reject our null hypothesis. We have evidence that the true mean number of nose picks per day is greater than 3. (Although our results are statistically significant, they may not be practically significant. ...
... INTERPRET: Because our p-value of 0.0127 is less than our significance level of 0.05, we can reject our null hypothesis. We have evidence that the true mean number of nose picks per day is greater than 3. (Although our results are statistically significant, they may not be practically significant. ...
Make Your Summary-Sheet as You Go-II
... different days of the weeks. Each time we ask 20 students. Let’s say at the end of the experiment we have 40 samples of 20 responses each. The above process is called sampling technique. What comes out of this experiment is we would get 40 averages. From these averages, we would have an average of ...
... different days of the weeks. Each time we ask 20 students. Let’s say at the end of the experiment we have 40 samples of 20 responses each. The above process is called sampling technique. What comes out of this experiment is we would get 40 averages. From these averages, we would have an average of ...