SOLUTION: The mean life satisfaction for 142 countries around the world in 2016 (on a scale from 0 - 10) was 5.4. A sample of 46 countries taken in 2018 showed a mean of 5.6 with a standar

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Question 1179167: The mean life satisfaction for 142 countries around the world in 2016 (on a scale from 0 - 10) was 5.4. A sample of 46 countries taken in 2018 showed a mean of 5.6 with a standard deviation of 1.1. Is the mean life satisfaction for the 2018 sample significantly higher than the mean life satisfaction in 2016? Conduct the appropriate hypothesis test using α = 0.01.
What is the standard deviation?
please show steps!
Answer by robertb(5830) About Me  (Show Source):
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H%5B0%5D%3A+mu+=+5.4
H%5B1%5D%3A+mu+%3E+5.4
Significance level alpha = 0.01

Test statistic: with 45 d.f.
==> p-value = 0.112 > 0.01 = alpha.

Therefore, do not reject the null hypothesis, and conclude that the mean life satisfaction for 2018 is not significantly higher than in 2016.