Soil pH is an important variable in the design of structures that will contact the soil. Nine test samples of soil from a potent ial construction site gave readings of 7.3 6.5 6.4 6.1 6.0 6.5 6.2 5.8 6.7
Assuming that soil pH is normally distributed, find the 90% lower confidence bound for the true average soil pH at the site.
1 answer:
Answer:
90% lower confidence bound for the true average soil pH at the site is ≈ 6.13
Step-by-step explanation:
90% Lower Confidence bound can be calculated using M-ME where
M is the sample mean pH (6.39) ME is the margin of error from the mean And margin of error (ME) can be calculated using the formula
ME= where
t is the corresponding statistic in the 90% confidence level (1.86) s is the standard deviation of the sample PH's (0.42) Using the numbers we get:
ME= ≈ 0.26
Then the 90% lower confidence bound for the true average soil pH at the site is 6.39 - 0.26 = 6.13
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I spent a lil time on it but I’ll let you know in a lil but if I have the answer:)