Consider the following hypotheses: H_0:mu greaterthanorequalto 135 H_A:mu greate

Question

Consider the following hypotheses: H_0:mu greaterthanorequalto 135 H_A:mu greaterthanorequalto 135 The population is normally distributed. A sample produces the following observations: 138 127 135 122 137 116 Use the critical value approach to conduct the test at a 1% level of significance. Use Table 2. Find the mean and the standard deviation. (Round intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.) Mean Standard deviation Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round Intermediate calculations to 4 docimal places. Round your answor to 2 docimal placos.) Test statistic Calculate the critical value of the test statistic. (Nogativo valuo should bo indicated by a minus sign Round intermediate calculations to 4 decimal places. Round your answer to 3 decimal places.) Critical value d. What is the conclusion? Reject H_0 since the value of the test statistic is not less than the n

Explanation / Answer

Mean = 129.17

Standard deviation = 8.98

Test statistic Z = (129.17-135)/(8.98/sqrt 6)

= -1.59

Critical value of test statistic at 1% significance is -2.326.

So Z is less than the absolute value of critical value.

So we reject H0.

Option B is correct in conclusion.

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.