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Show steps please A random sample of 10 children found that the average growth for the...

Show steps please

A random sample of 10 children found that the average growth for the first year was 9.8 inches. The sample standard deviation was 0.96 inches. Find the 95% confidence interval for the true mean.

The lower bound of the interval is ___________

The upper bound of the interval is ___________

Round to 4 decimal places.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

df = n - 1 = 10 - 1 = 9

From T table,

t critical value at 0.05 significance level with 9 df = 2.262

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

9.8 - 2.262 * 0.96 / sqrt(10) < < 9.8 + 2.262 * 0.96 / sqrt(10)

9.1133 < < 10.4867

Lower bound = 9.1133

Upper bound = 10.4867

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