Assume that a simple random sample has been selected from a normally distributed

Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of pages from a dictionary is obtained Listed below are the numbers of words defined on those pages. Given that this dictionary has 1459 pages with defined words, the claim that there are more than 70,000 defined words is the same as the claim that the mean number of defined words on a page is greater than 48.0. Use a 0.05 level significance level to test the claim. What does the result suggest about the claim that there are more than 70,000 defined words in the dictionary? 84 37 72 84 49 81 49 48 51 105 What are the null and alternative hypotheses? A. H_0 : mu > 48.0 H_1 : mu = 48.0 B. H_0 : mu = 48.0 H_1 : mu notequalto 48.0 C. H_0 : mu = 48.0 H_1 : mu 48.0 Identify the test statistic. identify the critical value(s). State the final conclusion that addresses the original claim. H_0. There evidence to support the claim that the mean number of defined words is greater than 48.0. Do the results suggest that there are more than 70,000 defined words in the dictionary? A. The results are inconclusive. B. There is sufficient evidence to support the claim that there are more than 70,000 words in the dictionary C. There is not sufficient evidence to support the claim that there are more than 70,000 words in the dictionary. D. Since many pages that were sampled have more than 48 words, there must be more than 70,000 words in the dictionary.

Explanation / Answer

sol:

Null hypothesis:

H0: mean=48

Alternative Hypothesis:

H1:mean>48

level of significance=0.05

Tesst statistic:

Sample mean=x bar=66

sample stddev=22.10581

t=66-48/22.10581/sqrt(10)

t=2.575

the critical value is 1.833

T cal> tcrit

Reject null hypothesis H0

There is sufficient evidence to suppoort the claim

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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