you will compute confidence intervals. In particular, you will compute confidenc
ID: 3325933 • Letter: Y
Question
you will compute confidence intervals. In particular, you will compute confidence intervals for the same quantity measured at different times, and you will then compare these intervals. The subject is temperature and the patterns exhibited over several years
Weather Underground’s page of weather data can be found at http://www.wunderground.com. Watch the video to see where to find the data you need.
Collect the Max. Temperature reading for each day in Culpeper, VA
February and August of 2017
February and August 2015
February and August 2013
Find the average daily maximum temperature and the standard deviation for each of the 6 months. Use the number of days as your sample size. Also calculate the probability that the temperature will be over 80 degrees in each month. Use this data to complete the following questions.
1. Compute 99% confidence intervals for the average daily maximum temperature in February for each of the three years in which you collected data. How do they compare?
2. Compute 99% confidence intervals for the average daily maximum temperature in August for each of the three years in which you collected data. How do they compare?
3. Compute the 95% confidence interval for the probability of having temperatures over 80 degrees in February for each of the 3 years in which you collected data. How do they compare?
4. Compute the 95% confidence interval for the probability of having temperatures over 80 degrees in August for each of the 3 years in which you collected data. How do they compare?
Using the information you gathered for Culpeper, VA conduct the following hypothesis tests.� You may choose the level of significance (.10, .05, .01) Be sure to write your conclusion in the form of a statement about rejecting or failing to reject the null hypothesis. You may use either z scores or p values to support your statement. Remember the null must always be the statement with the equal sign.
1.�Find the yearly average temperature for your state(the one your project 3 city was in).� Using the 2017 February data from project 3 as your sample, test the hypothesis that the average yearly temperature is greater than the average you found.
2.Test the same claim using the 2017 August data.� Did the results change? How would you explain the change if there was one?
3.A friend tells you that he thinks the probability of getting a daily temperature over 80 degrees Farenheit is 54%.� Based on your city�s 2017 August temperatures do you believe his claim?� Do a hypothesis test to check his claim.�
Explanation / Answer
1)
AUG 2013
99% confidence interval: 76.94620 ? x ? 81.11780
AUG 2011
99% confidence interval: 78.40593 ? x ? 82.04607
AUG 2007
99% confidence interval: 75.82245 ? x ? 82.63155
2)
FEB 2013
99% confidence interval: 28.39168 ? x ? 36.96632
FEB 2011
99% confidence interval: 28.50150 ? x ? 36.64050
FEB 2007
99% confidence interval: 19.78997 ? x ? 29.63803
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