TKK Products manufactures electric light bulbs. Lab tests show that the distribution of lives (in hours) of these bulbs are N(700,75). Find the proportion of bulbs that will burn as described below Between 750 and 900 hours Between 600 and 800 hours
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- Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 14,19,16,14,19,19,14,21,17,17,14,17 Give the p-value and interpret the results. a) p = 0.0012; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. b) p = 0.0012; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0023; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. d) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and…Suppose that we want to determine if the average amount of timespent online by the students is lessthan 4.5 hours/day. To this end, weconduct a survey of students and askthem how long they spend online perday. We obtain the following results:4.1, 4.3, 4.3, 4.5, 4.6, 4.3, 4.1, 4.6,4.7, 4.6, 4.7, 4.1, 4.3, 4.3, 4.5, 4.6,4.3, 4.1, 4.6, 4.7, 4.6, 4.7, 4.5, 4.6,4.3, 4.1 Assume that the number ofhours spent online has a normal distribution. Test your hypotA researcher wants to know whether children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this, a researcher obtains a sample of n = 36 children (ages 8 to 12 years) who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average for the sample is M = 4.9 hours/day. Assume that the average TV-watching time for the general population of 8-to-12-year-old children is µ = 4.1 hours/day with σ = 1.8. Is ADHD in children associated with an increased amount of TV-watching?
- The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor µ= 42.0 µ= 51.0 o = 8.7 o = 12 In a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 77 years old. Determine the z-scores for each. Best Actor: z %3D Best Supporting Actor: z = (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was the mean, which unusual. The Best Supporting Actor was the mean, which unusual.A random sample of 10 young men was taken and the heart rate (HR) of each young man was measured before and after taking a cup of caffeinated coffee. The results are (beats/min.) Use the information in the table to answer the questions.Subject HR before HR after1 68 74 2 64 68 3 52 60 4 76 72 5 78 76 6 62 68 7 66 72 8 76 76 9 78 8010 60 64a) Does caffeinated coffee have any effect on the heart rate of young men? Let level α = 0.05.b) As a public health specialist, write a brief report explaining your results aboveLet x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,17,20,17,17,14,16,21,15,21,15,22 Give the p-value and interpret the results. a) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0003; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = 0.0003; Based on 5% significance level, I will reject the…
- A political newspaper, Politically Sound, is interested in the distances voters in Rising Falls County live from their nearest polling station. Politically Sound has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 17 Rising Falls County voters and record the distance (in km) each voter lives from their nearest polling station. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Number of voters 17 Sample mean 4.757 Sample standard deviation 2.363 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the…Calculate the Z value if 10% of all values of Z are largerToday, the waves are crashing onto the beach every 4.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.3 seconds. Round to 4 decimal places where possible. 1. 66% of the time a person will wait at least how long before the wave crashes in?
- A researcher collected data from a sample of correctional officers and found that, on average, they made 47,173 dollars a year with S=6,364. Assuming that their salaries were normally distributed what proportion of correctional officers make less than 40,000 dollars a year?n a 2014 study, Michael Smith arranged to be stung by bees repeatedly on 25 locations over 38 days to record the relative pain experienced by each sting in each body area. A scale pain ratings of 1-10 were used with stings to the forearm defined to be a 5. What is the population of this study?The chlorine added to swimming pools to combat relatively short shelf before it loses its effectiveness. Records indicate that the mean shelf life of a 5 gallon jug of chlorine is 2,160 hours (90 days). As an experiment, Holdlonger was added to the chlorine to whether it would increase the shelf life of the chlorine. A sample of nine jugs of chlorine had these shelve lives (in hours): 2,159, 2, 170, 2,180, 2,179, 2,160, 2,167, 2,171, 2,181 and 2,185. At the .025 significance level, has Holdlonger increased the shelf life of the chlorine? S=9.3823, sample mean=2172.44 STATE THE NULL AND ALTERNATE HYPOTHESIS. Determine the critical value for the decision rule.