Question

The observations from a random sample of n = 6 from a normal population are: 11.7, 13.9, 12.93, 11.44, 13.89, 13.55. Test the null hypothesis of H0 : ? = 13 against the alternative hypothesis of H1 : ? < 13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) What is the (negative) critical value? (e) Can the null hypothesis be rejected at a 5% significance level? A. Do not reject the null hypothesis. B. Reject the null hypothesis.

          The observations from a random sample of n = 6 from a normal population are:
11.7, 13.9, 12.93, 11.44, 13.89, 13.55.
Test the null hypothesis of H0 : ? = 13 against the alternative hypothesis of H1 : ? < 13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places.
(a) What is the sample mean?
(b) What is the sample standard deviation?
(c) What is the test statistic used in the decision rule?
(d) What is the (negative) critical value?
(e) Can the null hypothesis be rejected at a 5% significance level?
A. Do not reject the null hypothesis.
B. Reject the null hypothesis.

The observations from a random sample of n = 6 from a normal population are:
11.7, 13.9, 12.93, 11.44, 13.89, 13.55.
Test the null hypothesis of H0 : ? = 13 against the alternative hypothesis of H1 : ? < 13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places.
(a) What is the sample mean?
(b) What is the sample standard deviation?
(c) What is the test statistic used in the decision rule?
(d) What is the (negative) critical value?
(e) Can the null hypothesis be rejected at a 5% significance level?
A. Do not reject the null hypothesis.
B. Reject the null hypothesis.

Added by Zachary H.

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