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, P value 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 these pages. Given that this dictionary has 1400 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 0.10 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? 49 42 57 72 42 60 50 41 64 83 What are the null and alternative hypotheses? A. H_0: mu = 48.0 H_1: mu notequalto 48.0 B. H_0: mu = 48.0 H_1: mu 48.0 H_1: mu = 48.0 D. H_0: mu = 48.0 H_1: mu > 48.0 Identify the test statistic: 1.805 (Round to three decimal places as needed.) What is the ranges of values for the P-value? Choose the correct answer below. A. 0.025

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 48
HA : > 48

Hypothesis test results:

Hence,

Hpotheses: Option D

Test statistic = 1.805

P - Value: Option B

Reject; Sufficient

Variable Sample Mean Std. Err. DF T-Stat P-value var15 56 4.4322054 9 1.8049705 0.0523

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