Example 3. A survey company investigated 800 car owners and found, 65- owned Maruti car and 300 owned Hyundai car; 100 owned both cars. Is this dataa correct?
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- Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Miles with 87 Octane Miles with 92 Octane Person 1. 234 237 257 238 3 243 229 4 215 224 114 119 6 287 297 315 351 8 229 241 9 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume 4 = 4i – P2, where µi is the population mean mileage for Octane 87 and u2 is the mean mileage for Octane 92. Ho: 4, Select an answer V H1:µ, Select an answer V b. What is the significance level? c.…Medical researchers followed 6272 Swedish men for 30 years to see if there was any association between the amount of fish in their diet and prostate cancer. (“Fatty Fish Consumption and Risk of Prostate Cancer,” Lancet, June 2001). A summary of the data is given in the table below. Fish Consumption No Prostate Cancers Prostate Cancers Never/Seldom 110 14 Small part of diet 2420 201 Moderate part of diet 2769 209 Large part of diet 507 42 A) If a patient is randomly selected, what is the probability that he/she had prostate cancer given that fish was never or seldom a part of the diet? Round your answer to three decimal places and include the leading zero. B) If a patient is randomly selected, what is the probability that s/he ate fish as a large part of their diet given that they had prostate cancer. Round your answer to two decimal places and include the leading zero.Twenty students in a group of 40 at Dawn High elect for a course in statistics (St. Eleven students take up linear algebra (L). Five students enrolled for both courses. Represent the data in the Venn diagram below.
- Consider the following data for 120 scholars of Fountain International School in San Juan City. How many scholars are studying exactly two languages? study French study German study Russian 65 45 42 study French and Russian study French and German 25 20 study German and Russian study all languages 15 8 Your answerA recent health survey 500 single young men yielded the following information: 385 were a member of a sports club, 155 were vegetarian, and 30 declined to answer the survey’s questions. What percent of the men were both members of a sports club and vegetarian? Draw a Venn diagram to illustrate the result of the survey.490 undergraduate students at a state university in the southwestern region of the United States were surveyed. Each student in the sample was classified according to class standing (freshman, sophomore, junior, or senior) and body are category (body piercings only, tattoos only, both tattoos and body piercings, no body art). Use the data in the accompanying table to determine if there is an association between class standing and body art category. Assume that it is reasonable to regard the sample as representative of the students at this university. Use α = 0.01. 1. What type of question is this-estimation or hypothesis?2. What type of study is this sample data or experiment data?3. What type of data is this? Univariate or bivariate? Categorical or Numerical?4. How many samples or treatments?
