LET’S PLAY NAME THAT TEST.. THEN, LET’S

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Presentation transcript:

LET’S PLAY NAME THAT TEST.. THEN, LET’S DO THAT TEST!! Check condish Make Ho ha Null model Check yo stat wif model

1. Love that chicken. In 2004, 46% of seniors ate the chicken nuggets 1. Love that chicken! In 2004, 46% of seniors ate the chicken nuggets. You took a sample this year and found that 18/31 ate the nuggets. Do students now like nuggets more?

3. Fat Toads. Toads are known to eat flies 3. Fat Toads. Toads are known to eat flies. You are wondering if heavy toads eat more flies than lighter toads. You observe 5 heavy toads and 6 lighter toads and find the following number of flies eaten per hour. Heavy: 7, 8, 12, 33, 17 Light: 6, 2, 6, 7, 3, 4

5. Burritos. The average burrito at MOE’s weight 2. 3 lbs 5. Burritos. The average burrito at MOE’s weight 2.3 lbs. You are wondering if A new burrito place down the street offers burritos as large. You take the following sample of burrito weights. 2.1, 2.2, 1.4, 2.3, 2.1, 1.8, 1.4, 2.0 Who has the larger burrito?

7. Texting. 48% of 50 sampled teachers admit to texting during the day 7. Texting. 48% of 50 sampled teachers admit to texting during the day. 60% of 30 students sampled regularly text during the day. Is there a significant difference?

15. AP SMARTS. Does AP stats make students smarter 15.AP SMARTS. Does AP stats make students smarter? IQ tests were given to students before and after they took AP Statistics. The following data was collected: Before: 142 122 135 136 158 115 98 After: 152 131 132 142 155 138 112 Does AP Statistics make you smarter?

2. Hand Domination. Most people are definitely dominant on one side of their body – either right or left. For some sports being able to use both sides is an advantage, such as batting in baseball or softball. In order to determine if there is a difference in strength between the dominant and non-dominant sides, a few switch-hitting members of some school baseball and softball teams were asked to hit from both sides of the plate during batting practice. The longest hit (in feet) from each side was recorded for each player. The data are shown in the table at the right. Does this sample indicate that there is a difference in the distance a ball is hit by batters who are switch-hitters?

4. Survey Responses Few people who receive questionnaires in the mail actually fill them out and return them – often fewer than 10%! One researcher thinks he can improve the response rate by including a coupon good for a free pint of ice cream along with the questionnaire. The researcher believes that people will want the ice cream, and feel guilty if they don’t return the questionnaire. To test this conjecture he mails questionnaires with ice cream coupons to 150 randomly selected people. After two weeks 41 of the surveys have been returned.

6. Scoring The table shows the average number of points scored in home and away games by 8 randomly selected NFL teams during the 2002 season. Assuming that the offensive performance of these teams is representative of other teams during this season and others, do these data provide evidence of a home field advantage when it comes to scoring? Ave. points scored Team Home Away Jets 24.3 21.2 Ravens 19.8 19.8 Texans 13.5 13.1 49ers 25.2 20.6 Giants 18.9 23.0 Bucs 26.5 20.8 Eagles 24.1 25.5 Packers 24.6 23.0

8. Pets A National Cancer Institute study published in 1991 examined the incidence of cancer in dogs. Of 827 dogs whose owners used the weed killer 2-4-D on their lawns or gardens, 473 were found to have cancer. Only 19 of the 130 dogs that had not been exposed to this herbicide had cancer. Is there a significant difference?

12. GIRLS BETTER THAN THE BOYS 12. GIRLS BETTER THAN THE BOYS? Students at a local high school have GPA’s that are normally distributed. It was thought that girls had higher GPA’s than the boys. You take a random sample of 35 boys and find that they have an average GPA of 3.2 with a sample s.d. of .8. You also sample 41 girls and find they have an average GPA of 3.6 with a sample s.d. of 1.4. Do girls have higher GPA’s?

9. Grapes An agronomist hopes that a new fertilizer she has developed will enable grape growers to increase the yield of each grapevine by more than 5 pounds. To test this fertilizer she applied it to 44 vines and used the traditional growing strategies on 47 other vines. The fertilized vines produced a mean of 58.4 pounds of grapes with standard deviation 3.7 pounds, while the unfertilized vines yielded an average of 52.1 pounds with standard deviation 3.4 pounds of grapes. Do these experimental results confirm the agronomist’s expectations?

10. Car Insurance An insurance company advertises that 90% of their accident claims are settled within 30 days. A consumer group randomly selects 104 of last year’s claims from the company’s files, and finds that only 89 of them were settled within 30 days. Is the company guilty of false advertising?

11. Cigarettes Some of the cigarettes sold in the US claim to be “low tar” and have a mean tar level of 11.5 mg with a std dev of 1.2 mg. Are all the companies (generic and regular popular brands) close to that average? Samples of 15 brands of each type were randomly chosen from the 1206 varieties (no kidding) that are marketed. Their tar contents (mg/cig) are listed in the table below. Is there a significant difference in the published data? Type Milligrams of tar per cigarette Regular 18 10 14 15 15 12 17 11 14 17 12 14 15 15 12 Generic 9 5 10 4 8 9 9 3 7 12 6 10 8 11 8

13. Brownies Wegman’s (a food market chain) has developed a new store-brand brownie mix. Before they start selling the mix they want to compare how well people like their brownies to brownies made from a popular national brand mix. In order to see if there was any difference in consumer opinion, Wegman’s asked 124 shoppers to participate in a taste test. Each was given a brownie to try. Subjects were not told which kind of brownie they got - that was determined randomly. 58% of the 62 shoppers who tasted a Wegman’s brownie said they liked it well enough to buy the mix, compared to 66% of the others who said they would be willing to buy the national brand. Does this result indicate that consumer interest in the Wegman’s mix is lower than for the national brand?

14. Taxes Waiters are expected to keep track of their income from tips and report it on their income tax forms. The Internal Revenue Service suspects that one waiter (we’ll call him “John”) has been under-reporting his income, so they are auditing his tax return. An IRS agent goes through the restaurant’s files and obtains a random sample of 80 credit card receipts from people John served. The average tip size shown on these receipts was $9.68 with a standard deviation of $2.72. On his tax return John had claimed that his tips averaged $8.73. Based on this data, does the IRS have a case against him? Explain.

16. SENIORITIS. 35% of seniors earned less than an 80 in math Class in the second quarter. A sample of 65 seniors found that 33 scored under 80 in their math class on the quarter 3 interim report. Is this evidence of senioritis?