Need help to solve this question from chapter 8.3 of Triola statistics. Show steps and formulas to solve and explanation using TI-84 calculator.

A simple random sample of20 pages from a dictionary is obtained. The numbers of words defined on those pages arefound, with the resultsn=20,x=60.1words,s=15.4 words. Given that this dictionary has1451 pages with definedwords, the claim that there are more than70,000 defined words is equivalent to the claim that the mean number of words per page is greater than48.2 words. Use a0.01 significance level to test the claim that the mean number of words per page is greater than48.5 words. What does the result suggest about the claim that there are more than70,000 definedwords? Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.

• What are the null and alternativehypotheses?

H₀: =48.2 words

H₁: >48.2 words

• Determine the test statistic.(Round to two decimal places asneeded.)

Determine theP-value.(Round to three decimal places asneeded.)

• State the final conclusion that addresses the original claim.