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Identifying H0 and H1. In Exercises 5–8, do the following:
a. Express the original claim in symbolic form.
b. Identify the null and alternative hypotheses.
7. Pulse Rates Claim: The
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Chapter 8 Solutions
Essentials of Statistics, Books a la Carte Edition (6th Edition)
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Statistics: The Art and Science of Learning from Data (4th Edition)
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Elementary Statistics: Picturing the World (7th Edition)
- PLEASE DO PART D AND PART E A research team is working on a project to study the time (in seconds) for high school male runners to finish a 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runners from a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded. The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter race follows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race.(d) If instead of 25, 80 male runners are selected for the study, what is the sampling error at 95% confidence level? When the 95% confidence interval is constructed based on a sample with 80 male runners, would you…arrow_forwardThe US Census Bureau wants to estimate the median income of all adult women in the US, so they collect income information from 4205 randomly chosen women. Identify the individual, variable, population, sample, parameter, and statistic in this scenario. v Individual a. the median income of the 4205 women in the US who were sampled v Parameter b. all women in the US Variable c. the 4205 women in the US who were surveyed v Statistic d. the median income of all women in the US e. income Population f. one woman in the US Samplearrow_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 following data show values for these statistics for a random sample of 20 pitchers from the American League for one full season. Player Тeam W ERA SO/IP HR/IP R/IP Verlander, J DET 24 2.40 1.00 0.09 0.29 Beckett, J BOS 13 7 2.88 0.92 0.12 0.35 Wilson, C TEX 16 7 2.93 0.93 0.08 0.40 Sabathia, C ΝY 19 8. 3.01 0.97 0.06 0.36 Haren, D LAA 16 10 3.16 0.80 0.08 0.37…arrow_forward
- Refer to Exercise 3. In the last 50 samples, there were a total of 622 defective items. The largest number of defectives in any sample was 24, while the smallest number was 6. Is this enough information to determine whether the process was out of control at any time during the last 50 samples? If so, state whether or not the process was out of control. If not, state what additional information would be required to make the determination.arrow_forward3. The reaction times of an individual in certain stimuli were measured by a psychologist to be 0.23, 0.52, 0.36, 0.25, 0.26, 0.25, 0.39 seconds. Determine the mode of the given reaction times.arrow_forwardIt is a collection of all possible individuals, objects, or measurements of interest.arrow_forward
- Anufu. zilustration 19. According to a survey the following results were obtained : Girls 200 No, of candidates appeared at an examination Married Married and successful Unmarried and successful Boys 800 150 70 550 50 20 110arrow_forwardB. H0: P OR μ H1: P OR μ C. T or z statisticarrow_forward6. The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. The data follow: Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267 Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268 a. Is there evidence that overall distance is approximately normally distributed? Is an assumption of equal variances justified? b. Test the hypothesis that both brands of ball have equal mean overall distance. Use a = 0.05. What is the P-value? c. Construct a 95% two-sided Cl on the mean difference in overall distance for the two brands of golf balls. d. What is the power of the statistical test in part (b) to detect a true difference in mean overall distance of 5 yards? e. What sample size would be required to detect a true difference in mean overall…arrow_forward
- A company held a blood pressure screening clinic for its employees. The results are summarized in the table below by age group and blood pressure level. Low Normal High 21 d) Select a brief description of the association between age and blood pressure among these employees. OA. The percentage of employees having low blood pressure increases and the percentage having high blood pressure increases as they age. OB. The percentage of employees having low blood pressure decreases and the percentage having high blood pressure decreases as they age. OC. The percentage of employees having low blood pressure increases and the percentage having high blood pressure decreases as they age. OD. The percentage of employees having low blood pressure decreases and the percentage having high blood pressure increases as they age. e) Does this prove that people's blood pressure levels increase as they age? Explain. A. No, because only a controlled experiment can isolate the relationship between age and…arrow_forwardA physician claims that a person's diastolic blood pressure can be lowered if, instead of taking a drug, the person meditates each evening. Ten subjects are randomly selected and pretested. Their blood pressures, measured in millimeters of mercury, are listed below. The 10 patients are instructed in basic meditation and told to practice it each evening for one month. At the end of the month, their blood pressures are taken again. The data are listed below. Test the physician's claim. Use α = 0.01. Patient 1 2 3 4 5 6 7 8 9 10 Before 85 96 92 83 80 91 79 98 93 96 After 82 90 92 75 74 80 82 88 89 80arrow_forwardA certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %arrow_forward
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