Use technology to help you test the claim about the population mean, mu, at the

Question

Use technology to help you test the claim about the population mean, mu, at the given level of significance, alpha, using the given sample statistics. Assume the population is normally distributed. Claim: mu > 1230; alpha = 0.09, sigma = 196.86 Sample statistics x bar = 1263. 64, n = 200 H_0: mu greaterthanorequalto 1263.64 H_0: mu lessthanorequalto 1230 H_a: mu 1230 H_0: mu lessthanorequalto 1263.64 H_0: mu greaterthanorequalto 1230 H_a: mu > 1263.64 H_1: mu 1230 H_0: mu > 1263.64 H_a: mu lessthanorequalto 1230 H_a: mu lessthanorequalto 1263.64 Calculate the standardized test statistic The standardized test statistic is _____. (Round to two decimal places as needed) Determine the P-value. P = ________ (Round to three decimal places as needed.) Determine the outcome and conclusion of the test.

Explanation / Answer

Hypothesis:

H0 : mu > 1230

Ha : mu < = 1230

Test statistic;

mu = 1230 , x = 1263 , n = 200 , s = 195.85

z = ( x - mean ) / ( s / sqrt(n))

= ( 1263 - 1230) / ( 195.85 / sqrt(200))

= 2.38

Now, we need to find p value using z = 2.38

P value = 0.008

As p value less than alpha 0.09 so we reject the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

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