Mathematics: To indirectly measure the distance across a lake, Brayden makes use of a couple landmarks at points C and D. He measures BF, FD, and EF as marked. Find the distance across the lake (CD)( rounding your answer to the nearest hundredth of a meter.

To indirectly measure the distance across a lake,

Ответ:

Jasten

01.03.2023

95% confidence interval is 15.92±1.67. Since lower confidence limit 14.25% is higher than the theoretical level 13.5%, we can reject the null hypothesis that the mean ESTAR measurements equal the theoretical level, at 0.05 significance.

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

M is the sample mean soil moisture percentage ME is the margin of error from the mean

margin of error (ME) from the mean can be calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the 95% confidence levels is the standard deviation of the sampleN is the sample size (6)

Mean of the sample is= $\frac{19+16+15+16.5+15+14}{6}$ ≈ 15.92

Standard deviation of the sample is $\sqrt{\frac{(19-15.92)^2+(16-15.92)^2+(15-15.92)^2+(16.5-15.92)^2+(15-15.92)^2+(14-15.92)^2}{6} }$ ≈1.59

two tailed t value of 95% confidence level in 5 degrees of freedom is 2.571

Then ME= $\frac{2.571*1.59}{\sqrt{6} }$ ≈ 1.67

95% confidence interval is then 15.92±1.67

Lower 95% confidence limit =14.25%

Upper 95% confidence limit= 17.59%

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To indirectly measure the distance across a lake, Brayden makes use of a couple landmarks at points C and D. He measures BF, FD, and EF as marked. Find the distance across the lake (CD)( rounding your answer to the nearest hundredth of a meter.

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