ella, a chemist is working on a chemical reaction and she intends to do a study on the time it takes for the first reaction to complete. She measures the time 20 times. The mean of these 20 measurements was 12.8 minutes and the standard deviation was 1.3 minutes. It can be assumed that the time it takes for the reaction to complete follows a normal distribution. a) Find a 95% confidence interval for the average time it takes for the reaction to complete. b) Examine with an appropriate hypothesis test whether the time it takes for the reaction to complete differs from 12 minutes. Show all steps 6. Use a = 0.05. c) Describe in your own words your results from points a) and b). What is the connection between them? %)

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ella, a chemist is working on a chemical reaction and she intends to do a study on the time it
takes for the first reaction to complete. She measures the time 20 times. The mean of these 20
measurements was 12.8 minutes and the standard deviation was 1.3 minutes. It can be
assumed that the time it takes for the reaction to complete follows a normal distribution.
a) Find a 95% confidence interval for the average time it takes for the reaction to complete.
b) Examine with an appropriate hypothesis test whether the time it takes for the reaction to
complete differs from 12 minutes. Show all steps 6. Use a = 0.05.
c) Describe in your own words your results from points a) and b). What is the connection
between them?
%)
Transcribed Image Text:ella, a chemist is working on a chemical reaction and she intends to do a study on the time it takes for the first reaction to complete. She measures the time 20 times. The mean of these 20 measurements was 12.8 minutes and the standard deviation was 1.3 minutes. It can be assumed that the time it takes for the reaction to complete follows a normal distribution. a) Find a 95% confidence interval for the average time it takes for the reaction to complete. b) Examine with an appropriate hypothesis test whether the time it takes for the reaction to complete differs from 12 minutes. Show all steps 6. Use a = 0.05. c) Describe in your own words your results from points a) and b). What is the connection between them? %)
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