Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patient's body, but the battery packneeds to be recharged about every four hours. A random sample of 50 battery packs is selected and subjected to a life test. The average life of these batteries is 4.05 hours. Assume that battery life is normallydistributed with standard deviation o= 0.2 hour. Is there evidence to support the claim that mean battery life exceeds 4 hours? Use a= 0.05.What is the P-value for the test? Answer with 6 decimal places

given data normla distributionn = 50x¯ = 4.05σ = 0.2claim: μ>4α= 0.05

Answered: Medical researchers have developed a…

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...

See similar textbooks

Similar questions

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 769 hours. A random sample of 29 light bulbs has a mean life of 756 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.02, do you have enough evidence reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: μ769 (b) Identify the critical value(s). Use technology. Zo= -2.05 (Use comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. OB. Ha: μ≤ 769 (claim) OF. Ho: HS756 O C. Fail to reject Ho Q NAN Reject Ho Ha: μ>756 (claim) Fail to reject Ho- Reject Ho
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…
A sample of 10 from population 1 has a mean of 32 and a standard deviation of 6. A sample of 13 from population 2 has a mean of 48 and a standard deviation of 8. The population standard deviations are unknown but assumed to be equal. Test the hypothesis, at the 1% level of significance, that the population means are the same. State your conclusion as a sentence and include the test statistic and the critical value.
Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patient's body, but the battery pack needs to be recharged about every four hours. A random sample of 50 battery packs is selected and subjected to a life test. The average life of these batteries is 4.05 hours. Assume that battery life is normally distributed with standard deviation o= 0.2 hour. Is there evidence to support the claim that mean battery life exceeds 4 hours? Use a= 0.05. What is the test statistic for the test? Answer rounded-off to 2 decimal places
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces free all motors that fail while under guarantee. If he is willing to replace only 5% of the motors that fail, how long a guarantee should he offer? Assume that the lifetime of a motor follows a normal distribution.
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.)
A kind of super-iron called metallic glass is three to four times as strong as the toughest steel alloys, but becomes brittle at very high temperatures. To estimate the mean temperature, at which a particular type of metallic glass becomes brittle, 36 pieces of this metallic were randomly sampled from a recent production run. Each piece was independently subjected to higher and higher temperatures until it becomes brittle. The temperature at which brittleness was first noticed was recorded for each piece in the sample. The following results were obtained; X= 480 degrees F, s= 11 degrees F. Estimate the maximum mean temperature using 90% confidence interval.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 726 hours. Assume the population is normally distributed and the population standard deviation is 57 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). A. C. Fail to reject Ho - Fail to reject Ho Fail to reject Ho- Reject Ho- Reject Ho Reject H, Reject Ho- 4 (c) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.)
Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patient's body, but the battery pack needs to be recharged about every four hours. A random sample of 50 battery packs is selected and subjected to a life test. The average life of these batteries is 4.05 hours. Assume that battery life is normally distributed with standard deviation o= 0.2 hour. Is there evidence to support the claim that mean battery life exceeds 4 hours? Use a= 0.05. What is the test statistic for the test? Answer rounded-off to 2 decimal places
It takes an average of 14.5 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 65 injured patients to immediately tell the truth about the injury and noticed that they averaged 15.4 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.05 minutes. What can be concluded at the the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (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 the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly greater than 14.5 at αα = 0.05, so there is statistically significant…
It takes an average of 10.8 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 46 injured patients to immediately tell the truth about the injury and noticed that they averaged 11.7 minutes for their blood to begin clotting after their injury. Their standard deviation was 2.98 minutes. What can be concluded at the the αα = 0.05 level of significance? The null and alternative hypotheses would be: Please provide number H0:H0: mean =Correct __?__ H1:H1: mean > Correct_ __?__ The test statistic t = __?__ (please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)
Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patient's body, but the battery pack needs to be recharged about every four hours. A random sample of 50 battery packs is selected and subjected to a life test. The average life of these batteries is 4.05 hours. Assume that battery life is normally distributed with standard deviation o= 0.2 hour. Is there evidence to support the claim that mean battery life exceeds 4 hours? Use a= 0.05. What is the test statistic for the test? Answer rounded-off to 2 decimal places

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS