In each exercise,
- (a) identify the claim and state H0 and Ha.
- (b) find the critical value and identify the rejection region,
- (c) find the test statistic,
- (d) decide whether to reject or fail to reject the null hypothesis, and
- (e) interpret the decision in the context of the original claim.
In Exercises 1–3, use the data, which list the hourly wages (in dollars) for randomly selected respiratory therapy technicians from three states. Assume the wages are
Maine: 20.92, 25.37, 23.06, 15.64, 27.72, 24.90, 19.26, 23.46, 18.49, 21.76, 22.36
Oklahoma: 22.70, 19.95, 17.85, 16.76, 21.32, 18.96, 17.99, 28.35, 25.30, 21.93
Massachusetts: 25.43, 23.21, 30.81, 26.62, 31.42, 31.34, 34.58, 28.22, 27.25, 22.83, 27.45, 27.71
3. Are the
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Elementary Statistics: Picturing the World (7th Edition)
- Major League Baseball (MLB) consists of teams that play in the American League and the National League. MLB collects a wide variety of team and player statistics. Some of the statistics often used to evaluate pitching performance are as follows: ERA: The average number of earned runs given up by the pitcher per nine innings. An earned run is any run that the opponent scores off a particular pitcher except for runs scored as a result of errors. So/IP: The average number of strikeouts per inning pitched. • HR/IP: The average number of home runs per inning pitched. • R/IP: The number of runs given up per inning pitched. The following data show values for these statistics for a random sample of 20 pitchers from the American League for a season. Player Team ERA SO/IP HR/IP R/IP Verlander, J DET 24 2.39 1.01 0.10 0.30 Beckett, J BOS 13 7 2.90 0.91 0.10 0.34 Wilson, C TEX 16 7 2.95 0.92 0.06 0.39 Sabathia, C NYY 19 8 3.00 0.98 0.08 0.37 Haren, D LAA 16 10 3.18 0.82 0.07 0.38 McCarthy, B OAK 9…arrow_forwardAn auditor randomly samples 20 accounts receivable from among the 500 such accounts of a client's firm. The auditor lists the amount of each account and checks to see if the underlying documents comply with stated procedures. The data are recorded in the accompanying table (amounts are in dollars, Y=yes, and N=no). Account Amount Compliance 1 278 Y 2 192 Y 3 310 Y 4 94 N 5 86 Y 6 335 Y 7 310 N 8 290 Y 9 221 Y 10 168 Y 11 118 N 12 212 N 13 92 Y 14 56 Y 15 142 Y 16 37 Y 17 186 N 18 221 Y 19 219 N 20 305 Y Estimate the total accounts receivable for the 500 accounts of the firm and place a bound on the error of estimation. Do you think that the average account receivable for the firm exceeds $250? Why?arrow_forwardMajor League Baseball (MLB) consists of teams that play in the American League and the National League. MLB collects a wide variety of team and player statistics. Some of the statistics often used to evaluate pitching performance are as follows: ERA: The average number of earned runs given up by the pitcher per nine innings. An earned run is any run that the opponent scores off a particular pitcher except for runs scored as a result of errors. SO/IP: The average number of strikeouts per inning pitched. HR/IP: The average number of home runs per inning pitched. R/IP: The number of runs given up per inning pitched. The data in the Excel Online file below show values for these statistics for a random sample of 20 pitchers from the American League for a season. Construct a spreadsheet to answer the following questions.arrow_forward
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- Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Diane falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 93 people in my market category who had been interviewed, 17 said they would buy the product, and of the 113 people in Diane's market category, 34 said they would buy it. Assuming that these data came…arrow_forwardA pharmaceutical company conducts an experiment to test the effect of a new cholesterol medication. The company randomly selects 5 subjects and assigned to each of three treatment groups. Within each treament group, subjects receive a different dose of the new medication. After 30 days, doctors measure the cholesterol level of each subject. The within groups degrees of freedom is: A. 5 В. 2 C. 12 D. 14 A. В D Answerarrow_forwardA Superintendent of Education wants to determine if test scores are independent of school location. The following table shows the number of students achieving a basic level in the following subjects. Test the claim at a = 0.01 that location of school and academic achievement are independent. Location of School Subject Reading Math Science Urban 43 42 38 Suburban 63 66 65arrow_forward
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