8 QUESTIONS

What is the value of the sampie test statistic? {Test the difference \"1 #2. Round your answer to three decimai places.) 2.113 x 3. [0.241939 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT'IZ 3.5.0205. A random sample ofrl1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1: 109 91 122 130 94 123 112 93 125 95 125 11? 9? 122 127 88 A random sample of :12 = 14 regions in western Kansas gave the following information for people over 5!] years old. Rate of hay fever per 1110!] population for people under 25 X2: 94 109 103 98 111 88 110 79 115 100 89 114 85 96 IE USE SALT (i) Use a calculator to calculate X1, 51, x2, and 32. {Round your answers to four decimal places.) 1=x s.=x ;.=x s.=x Rate of hay fever per 100:] population for people over 5!] Gentle Ben is 3 Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse {in mg/lDD ml). 95 BS 54 105 101 108 82 91 The sample mean is; m 94.3. Letx be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that U = 12.5. The mean glucose level for horses should be pi : 85 mgflu ml.l' Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use a : 0.05. (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) -3288 x Sketch the sampling distribution and show the area corresponding to the P-value.What is the value of the sample test statistic? (Round your answer to two decimal places.) -2.78 X (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) 0.0027 X Sketch the sampling distribution and show the area corresponding to the P-value.2. [02410.3 Points] PREVIOUS ANSWERS BBUNDERSTAT'lZ 8.3.0015. ASK YOUR TEACHER PRACTICE ANOTHER Recall that Benford's Law claims that numbers chosen from very large data fiies tend to have \"1\" as the rst nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data le, the probability of getting a number with "I." as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer le. Let us say you took. a random sample of n : 220 numerical entries from the le and r : 49 of the entries had a rst nonzero digit of 1. Let ,0 represent the population proportion of all numbers in the corporate le that have a first nonzero digit of 1. What is the value of the sample test statistic? (Round your answer to two decimal places.) -0.27 x (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) 0.7872 x3. [0.24103 Points] PREVIOUS ANSWERS BBUNDERSTAT12 8.3.0095. ASK YOUR TEACHER PRACTICE ANOTHER Is the national crime rate really going dawn? Some suciologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people (ammit fewer crimes. According tn the FBI and the Justice Department, 70% of 3H arrests are of males aged 15 to 34 years? Suppuse you are a saciulogist in Rock Springs, Wyoming, and a random sample of pulice les shuwed that of 37 arrests last month, 29 were of males aged 15 to 34 years. Use a 10% level of signicance to test the claim that the populatiun proportion of such arrests in Rock Springs is different from 70%. \f6. [0.24103 Points] PREVIOUS ANSWERS BBUNDERSTAT'IZ 3.3.0125. ASK YOUR TEACHER PRACTICE ANOTHER What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite colun'i' Suppose a random sample of n = 57 college students were surveyed and r = 9 of them said that blue is their favorite color. Does this information impEy that the color preference of all college students is different (either way) From that of the general population? Use (1 = 0.05. What is the value of the sample test statistic? {Round your answer to two decimal places.) x {c} Find the P-uaiue of the test statistic. (Round your answer to four decimal places.) 0.45112 3.: Sketch the sampling distribution and ShDW the area corresponding to the P-value. 8. [0.24/0.3 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.3.014.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 65 out of a random sample of 78 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a = 0.05.What is the value of the sample test statistic? {Round your answer to two decimal places.) x {c} Find the P-value of the test statistic. (Round your answer to four decimal places.) noose 3.: Sketch the sampling distribution and show the area corresponding to the Pvaiue. 9. [0.24103 Points] PREVIOUS ANSWERS BBUNDERSTAT12 B.3.016.MLS. ASK YOUR TEACHER PRACTICE ANOTHER Symposium is part of a larger work referred to as Plato's Dialogues. wishart and Leach'l found that about 21.4% of veisyllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 493 veisyllable sequences from this manuscript showed that 127 were of the type four short and one long. Do the data indicate that the population proportion of this type ofveisyllable sequence is higher than that found in Plato's Symposium? Use :1 = 0.01. What is the value of the sample test statistic? (Test the difference \"I #2. Round 1,rcrur answer to two decimal places.) x {c} Find (or estimate} the P-value. [Round your answer to four decimal places.) 11.3843 3 4. [0.25/0.33 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.5.016.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A random sample of n, = 14 winter days in Denver gave a sample mean pollution index x, = 43. Previous studies show that of = 17. For Englewood (a suburb of Denver), a random sample of n2 = 12 winter days gave a sample mean pollution index of X2 = 37. Previous studies show that 2 = 13. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance