MO22. Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will lastand operate almost indefinitely once it is implanted in the patient's body, but the battery pack needs to be recharged about everyfour hours. A random sample of 50 battery packs is selected and subjected to a life test. The average life of these batteries is 4.05hours. Assume that battery life is normally distributed with standard deviation o = 0.2 hour. Use a = 0.05. What is the P-value (4decimal places i.e., 0.0000) and is there evidence to support the claim that mean battery life exceeds 4 hours?P. Value = Blank 1Is there evidence to support the claim that mean battery life exceeds 4 hours? Blank 2Blank 1Add your answerBlank 2Add your answer

Given that Random sample size (n) = 50 The average life of batteries (x¯) =4.05 hours The battery…

Answered: MO22. Medical researchers have…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9060 observations, the sample mean interval was x1 = 62.4 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,638 observations, the sample mean time interval was x2 = 70.8 minutes. Historical data suggest that σ1 = 8.07 minutes and σ2 = 11.57 minutes. Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. (a) Compute a 90% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limit
A consumer electronics firm has developed a new type of remote control button that is designed to operate longer before becoming intermittent. The best button on the market lasts an average of 1200 hours. A random sample of 36 new buttons is selected and each is tested in continuous operation until becoming intermittent. The resulting lifetime of each button was recorded and found to have a sample mean of 1275 hours. Determine the value of the p-value for this test. Round to 4 decimal places. Note: we know the population standard deviation (180 hours, see above). This allows us to use the standard normal distribution. Note: Obtain the p-value from the second tab on the normal distribution excel spreadsheet.
Consider a normally distributed population of scores with a mean μ = 100 and σx = 10. What score has a Z value of -0.82?
the life of a certain model of phone is normally distributed with an average of 30 months and a standard deviation of 6 months. In a sample of 65 phones, what is the approximate number that last between 28 months and 34 months?
It takes an average of 9.1 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 45 injured patients to immediately tell the truth about the injury and noticed that they averaged 9.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 0.91 minutes. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > < ≠ = H1:H1: ? μ p Select an answer = < ≠ > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer accept fail to reject reject…
A random sample of 76 eighth-grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At α=0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Part 1 (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A.) H0: μ≥270 (claim) Ha: μ<270 B.) H0: μ≤270 (claim) Ha: μ>270 C.) H0: μ=270 (claim) Ha: μ>270 D.) H0:μ≤270 Ha: μ>270 (claim) E.) H0: μ<270 Ha: μ≥270 (claim) F.) H0: μ=270 Ha: μ>270 (claim) (b) Find the standardized z, and its coresponding area z=_____ (c) Find the P-value P-value =_____ (d) Decide whether to reject or fail the null…
It takes an average of 9.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 52 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.7 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.98 minutes. What can be concluded at the the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean, z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer = ≠ < > H1:H1: ? p μ Select an answer < ≠ > = The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept…
The maximum patent life for a drug is 17 years. Subtracting the length of time required by the FDA for testing and approval of the drug provides the actual patent life for the drug that is, the length of time that the company has to recover research and development costs and to make a profit. The distribution of the lengths of actual patent lives for new drugs is given below, where Y is a random variable representing actual patent life of a drug (in years): y P(Y=y) F(y) 4 5 6 7 8 9 10 11 0.06 0.08 0.11 0.15 0.22 0.18 0.12 0.08 a) Complete the table above with the cumulative probability distribution for actual patent life (F(y) = P(Y ≤ y)). b) What is the probability that the actual patent life of a random drug is 6 years or less? c) What is the probability that the actual patent life of a random drug is more than 8 years? Show this in two ways: i. using the probability distribution for Y ii. using the cumulative probability distribution for Y, and applying our probability of comple-…
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Does it take less time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 41 seeds that were exposed to rock music took an average of 20 days to germinate. The standard deviation was 13 days. The 53 seeds that were exposed to classical music took an average of 23 days to germinate. The standard deviation for these seeds was 7 days. What can be concluded at the αα = 0.05 level of significance? The test statistic t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
100 specimens are tested in determining the life cycle of a certain type of crank shaft which is used in a particular brand of car engine. The tests have shown an average life cycle of μ=44 Gc (1 Gc = 1 gigacycles = 109 cycles) and a standard deviation of σ=33x10-1 Gc. 200 hundred thousand cars using that engine have been sold and are on the traffic. After what number of Gigacycles would you expect 7 % of the shafts broken down?
Check my An airline's data indicate that this past year, the average time it takes to board their flights is 45 minutes. The airline is considering changing their boarding procedures to reduce the boarding time for travelers. The new procedures were implemented and the boarding times for a random sample of 22 customers was taken to determine if there was a statistically significant decrease at in boarding times a= 0.10 with z = - 0.89 and t = . 1.07. What is the decision?

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