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lina2011 [118]
3 years ago
8

The time it takes for climbers to reach the highest point of a mountain is normally distributed with a standard deviation of 0.7

5 hours. If a sample of 35 people is drawn randomly from the population, what would be the standard error of the mean of the sample?
0.02
0.13
0.17
0.40
0.76
Mathematics
2 answers:
blondinia [14]3 years ago
6 0
The best approach to this is to use the formular 
Standard error = standard deviation / sqrt( sample size) 
 standard deviation = 0.75 hours
 sample size = 35
 Hence, Standard error = 0.75 /sqrt(35) = 0.126 = 0.13
Troyanec [42]3 years ago
5 0
0.75/sqrt=.125 then rounding it to 0.13 
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Now that we have our common ratio, we can replace it in our formula for the nth term to find the athlete's salary for each of the next three years. Notice that the first term of our sequence is $400, so a_{1}=400
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a_{4}=400(1.05)^{4-1}
a_{4}=400(1.05)^{3}
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a_{5}=400(1.05)^{5-4}
a_{5}=400(1.05)^4
a_{5}=486.2025

We can conclude that the athlete's salary for each of the next three years is: $441,$463.05,486.2025 respectively. Also, those vales for a geometric sequence because they share a common ratio, (1.05).
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