15. Hypothesis testing with small sample size when population is known to be normal, but sample size is small and standard deviation is unknown. Suppose a similar compound, (call this compound 2 for simplicity) is assumed to be at a concentration 1l ppb. A sample of n= 18 is taken from homes and the sample mean compound concentration is 12.5. Suppose we do not know the population standard deviation. Instead, we calculate a sample standard deviation of s = 0.6. Suppose we do know that the population is normally distributed. (a) write the null and alternate hypotheses to test to see if the mean concentration of this compound in tap water is greater than 11 ppb (b) determine the value of the test statistic for this test; Is this a t-test or a z-test. Please explain. (c) test at the 1% level to see if null hypothesis is valid (find the critical value(s));

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15. Hypothesis testing with small sample size when population is known to be normal, but
sample size is small and standard deviation is unknown.
Suppose a similar compound, (call this compound 2 for simplicity) is assumed to be at a
concentration 11 ppb. A sample of n = 18 is taken from homes and the sample mean compound
concentration is 12.5. Suppose we do not know the population standard deviation. Instead, we
calculate a sample standard deviation of s = 0.6. Suppose we do know that the population is normally
distributed.
(a) write the null and alternate hypotheses to test to see if the mean concentration of this
compound in tap water is greater than 11 ppb
(b) determine the value of the test statistic for this test; Is this a t-test or a z-test. Please
explain.
(c) test at the 1% level to see if null hypothesis is valid (find the critical value(s));
10
19
Transcribed Image Text:10:05 AM Sat Dec 19 * 64% 15. Hypothesis testing with small sample size when population is known to be normal, but sample size is small and standard deviation is unknown. Suppose a similar compound, (call this compound 2 for simplicity) is assumed to be at a concentration 11 ppb. A sample of n = 18 is taken from homes and the sample mean compound concentration is 12.5. Suppose we do not know the population standard deviation. Instead, we calculate a sample standard deviation of s = 0.6. Suppose we do know that the population is normally distributed. (a) write the null and alternate hypotheses to test to see if the mean concentration of this compound in tap water is greater than 11 ppb (b) determine the value of the test statistic for this test; Is this a t-test or a z-test. Please explain. (c) test at the 1% level to see if null hypothesis is valid (find the critical value(s)); 10 19
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