Determine test statistic and determine p value ### Hypothesis Testing in DictionariesA simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results $ n = 10 $, $ \bar{x} = 55.3 $ words, $ s = 16.1 $ words. Given that this dictionary has 1459 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 48.0 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 48.0 words. What does the result suggest about the claim that there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.---#### What are the null and alternative hypotheses?**A.**- $ H_0 $: $\mu = 48.0$ words- $ H_1 $: $\mu > 48.0$ words**B.**- $ H_0 $: $\mu = 48.0$ words- $ H_1 $: $\mu \neq 48.0$ words**C.**- $ H_0 $: $\mu \ge 48.0$ words- $ H_1 $: $\mu < 48.0$ words**D.**- $ H_0 $: $\mu = 48.0$ words- $ H_1 $: $\mu < 48.0$ wordsThe correct selection is option **A**:- $ H_0 $: $\mu = 48.0$ words- $ H_1 $: $\mu > 48.0$ words---#### Determine the test statistic.- (Round to two decimal places as needed.)---

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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It is the difference between the estimated value from the sample (sample statistic) and an actual value (population parameter)
Paired t-test 9. A doctor wants to test if a new "love potion" increases the number of dates over the course of a year. She chooses ten subjects, counts the number of dates over a year, and then gives them the "love potion" for the next year. The data is as follows: Before 12 13 11 2 18 20 After 17 25 7 14 8 2 10 21 Difference 1 12 2 0 3 6. -4 -8 1 (A - B) Can she say that the potion works? (Use a = .10) Ho: mu d = 0 %3D Ha: mu d > 0
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ACT Scores Based on the Normal model (mean = 20.8 and standard deviation = 4.8), describing ACT scores for Kentucky high school seniors. a) what percent scores would you expect to be over 22 (minimum admission for most state schools except Kentucky State and Uni. of Kentucky)? Draw a picture. b) what percent of scores would you expect ot be below 17 (minimum for admission to the rest of the state schools not mentioned). Draw a picture 3) what act score represents the 90th percentile? Draw a picture.
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Pick the Test (Z-test, Single Sample T-test, Independent Sample T-test, Paired Sample Ttest, ANOVA): 9. You are studying procrastination on your campus and find a measure with good norms for college students ( = 4.37; = .89). You test whether your sample mean on this measure is different from the general college population. Which of the following statistics would you use for your test? Test: ___________
Pick the Test (Z-test, Single Sample T-test, Independent Sample T-test, Paired Sample Ttest, ANOVA): 19. You are studying procrastination on your campus and find a measure with good norms for college students ( = 4.37; = .89). You test whether your sample mean on this measure is different from the general college population. Which of the following statistics would you use for your test? Test: _____________________
USE 3 DECIMAL A producer claims that his potato chips weight has a normal distribution at least 150 grams. The manager tries to test day shift production weight is heavier that night shift. Because of the complaints of the customers, quality control department select randomly 19 bags from the day shift and find the mean as 146 grams and variance 9 grams and randomly selected 21 bags from the night shift and find the mean as 148 grams and variance 8 grams. If manager want to test the claim as night shift mean weight of the product is greater than that of day shift at 1% level of significance. Calculate the test statistics. (H1: m night shift > m day shift).
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