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 0.10 level significance level to test this claim. What does the result suggest about the claim that there are more than? 70,000 defined words in the? dictionary? 54?????47?????72?????69?????59?????67?????42?????40?????67?????103 LOADING... Click the icon to view a table of critical? t-values. What are the null and alternative? hypotheses? A. Upper H 0?: muequals48.0 Upper H 1?: mugreater than48.0 B. Upper H 0?: muequals48.0 Upper H 1?: munot equals48.0 C. Upper H 0?: mugreater than48.0 Upper H 1?: muequals48.0 D. Upper H 0?: muequals48.0 Upper H 1?: muless than48.0 identify the test statistic? identify the p value? state the final conclusion? what do the results suggest?

Answer 1

H₀: = 48

H₁: > 48

1) The test statistic t = ()/(s/sqrt(n))

One-Sample T: C8

Test of ? = 48 vs > 48

Variable   N   Mean StDev SE Mean 90% Lower Bound     T      P
C8          10 62.00 18.45     5.83             53.93    2.40    0.020

TS = 2.40

p-value = 0.020

p-value < alpha(0.10)

we reject the null hypothesis

we conclude that there is evidence that that the mean number of defined words on a page is greater than 48.0.