Question

2. *n* = 14 samples are taken from a stream; the mean
pollutant level is 16.4 mg/l, and the standard deviation is 5.3.
Test the hypothesis that the true mean is no different than the
"normal" level of 12.5 mg/l. State the null and alternative
hypotheses, and use a Type I error level of 5%.

Answer #1

Q.2) Given that, sample size (n) = 14, sample mean = 16.4 mg/l and sample standard deviation (s) = 5.3

We want to test the hypothesis that the true mean is no different than the "normal" level of 12.5 mg/l.

Therefore, the null and alternative hypotheses are,

H0 : μ = 12.5 mg/l

Ha : μ ≠ 12.5 mg/l

This hypothesis test is a two-tailed test.

Test statistic is,

=> Test statistic = t = **2.753**

Degrees of freedom = 14 - 1 = 13

Using t-table we get, t-critical value at significance level of 0.05 with 13 degrees of freedom are, tcrit = ± 2.160

Since, test statistic = 2.753 > 2.160, we **reject the
null hypothesis (H0).**

**Conclusion :** There is sufficient evidence to
conclude that the true mean is different than the "normal" level of
12.5 mg/l.

2. n = 14 samples are taken from a stream; the mean
pollutant level is 16.4 mg/l, and the standard deviation is 5.3.
Test the hypothesis that the true mean is no different than the
"normal" level of 12.5 mg/l. State the null and alternative
hypotheses, and use a Type I error level of 5%.
PLEASE HELP!

n = 14 samples are taken from a stream; the mean
pollutant level is 16.4 mg/l, and the standard deviation is 5.3.
Test the hypothesis that the true mean is no different than the
"normal" level of 12.5 mg/l. State the null and alternative
hypotheses, and use a Type I error level of 5%.

n = 14 samples are taken from a stream; the mean
pollutant level is 16.4 mg/l, and the standard deviation is 5.3.
Test the hypothesis that the true mean is no different than the
"normal" level of 12.5 mg/l. State the null and alternative
hypotheses, and use a Type I error level of 5%. (4)

n = 14 samples are taken from a stream; the mean pollutant level
is 16.4 mg/l, and the standard deviation is 5.3. Test the
hypothesis that the true mean is no different than the "normal"
level of 12.5 mg/l. State the null and alternative hypotheses, and
use a Type I error level of 5%.
Thank you!

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