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The average body temperature is 98.6 degrees. Suppose I take a sample of 106 people and find that their average body temperature is 98.2 degrees. We...
The average body temperature is 98.6 degrees. Suppose I take a sample of 106 people and find that their average body temperature is 98.2 degrees. We know that the population standard deviation is 0.62. We are interested in seeing if the actual average body temperature is less than 98.6 degrees.
What is the standard error?
What is the margin of error at 90% confidence?
Using my sample of 106, what would be the 90% confidence interval for the population mean?
If I wanted to control my margin of error and set it to 0.25 at 95% confidence, what sample size would I need to take instead of the 50?
What are the null and alternative hypotheses?
What is the critical value at 90% confidence?
Calculate the test statistic.
Find the p-value.
What conclusion would be made here at the 90% confidence level?
Overall, it is known that about 30% of people tip taxi cab drivers. Suppose I take a sample of 25 taxi riders and find that only 6 out of the 25 gave a tip. I want to test to see if there is significant evidence that the amount of people who tip is significantly different than 30%.
If I wanted to control my margin of error and set it to 5% with 90% confidence, what sample size would I need to take instead of the 25?
Using my original sample size of 25, what would be the 99% confidence interval for the population proportion?
What are the null and alternative hypotheses?
What is the critical value at 99% confidence?
Calculate the test statistic.
Find the p-value.
What conclusion would be made here at the 99% confidence level?
It is known from past information that the average house in America has 2.5 bedrooms. Suppose I take a sample of 28 houses now and find that the average number of bedrooms the homes have is 2.85 with a sample standard deviation of .83. I’m interested in seeing if there is evidence that the average number of bedrooms has increased.
Using my sample of 28 houses, what would be the 95% confidence interval for the population mean?
What are the null and alternative hypotheses?
What is the critical value at 95% confidence?
Calculate the test statistic.
Find the p-value.
What conclusion would be made here at the 99% confidence level?
Would my conclusion change if I changed alpha to .10? Show reasoning.
According to USA Triathlon rules, a competitor cannot wear a wetsuit if the water temperature is above 83.9 degrees. Suppose we do a test to see if the water temperature is over 83.9 degrees.
What is the type I error I could make here? Describe it in terms of this situation, NOT a general definition.
What is the type II error I could make here? Describe it in terms of this situation, NOT a general definition.
Which one has more severe consequences and why? Could both be dangerous?
The following data on executions in Texas is given below:
Gender
