nlustration 17.3. The normal rate of infection of a certain disease in animals is known to be 40%. In an experiment with 6 ani-mals injected with a new vaccine it was observed that none of theanimals caught infection. Calculate the probability of the observedresult if the vaccine was ineffective.

Answered: Image /qna-images/answer/43f822ec-a620-4f34-b002-19e0161778ce.jpg

Answered: Nlustration 17.3. The normal rate of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose the distribution of BMI (kg/m2) among a group of diabetic children varies normally with a mean of 26.8 and a σ=3.7.A) What is the probability of randomly selecting an obese child (BMI>30) based on a sample of 15 children?B) What is the probability of randomly selecting a “normal” child with a BMI between 18.5 and 24.
The time taken by brake discs to overheat on construction equipment is normally distributed with µ=3.1 and ơ=0.4 if you select a random sample of 16 equipment, What is the probability that the mean sample time is at least 3 minutes?
A company sells sunscreen in 300 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean μ=297 ml and standard deviation σ=4 ml. Suppose a store which sells this sunscreen advertises a sale for 4 tubes for the price of 3. Consider the average amount of lotion from a SRS of 4 tubes of sunscreen and find the probability that the average amount of sunscreen from 4 tubes will be less than 292 ml.
Physicians at a clinic gave what they thought were drugs to 800800 patients. Although the doctors later learned that the drugs were really placebos, 5050 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.450.45. Test the hypotheses that the proportion of patients improving is >0.45>0.45.Find the test statistics:z=z= Find the p-value. p=p=
In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).
10S HITH 4. A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. One hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported, reduction of symptoms. Among 50 participants who receive the experimental medication, 36 report a reduction of symptoms as compared to 17 participants of 50 assigned to the placebo. Generate a 95% Cl for the difference in proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. a (1.237, 3.232) b. (0.114,0.486) c. (0.600, 0.300) d. (0.199, 0.561) 5.A phase three clinical trial for a new medication proposed to teat depression has 1237
The lifetime X of a certain electronic component in hours is an exponential random variable with a mean of 4.3. Determine the variance of X. The answer should be a number rounded to five decimal places,
If you conduct 14 different statistical tests with alpha = 0.05, what is the probability you will get a significant result, even if there is no significant effect? Report the answer as a percentage, rounded to 1 decimal place.
A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Treated with multivitamin Treated with vitamin C Days to recover from flu 7.2, 5.3, 4.9, 4.4, 2.0, 4.0, 5.9, 4.9, 5.2, 7.7, 4.2, 7.3, 5.0, 7.3, 7.5, 3.0, 6.4, 6.5, 7.1, 4.6 2.9, 2.7, 5.4, 3.9, 4.7, 4.0, 5.9, 2.9, 6.8, 5.8, 7.0, 4.0, 1.6, 6.0, 3.7, 3.9, 4.5, 0.4, 6.4, 0.9 Send data to Excel Send data to calculator Lower limit: Upper limit: Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that…
Suppose X is a random variable with mean 105 and standard deviation = 50. Let %3D X be the mean of 53 samples of X . Compute the probability Р(X > 92 (Your answer should be a decimal. Round to 4 decimal places if necessary.)
The null hypothesis: H. :|| The alternative hypothesis: H :0 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the researchers' claim that the mean recovery time when treated with multivitamin is less than or equal to the mean recovery time when treated with vitamin C only? Yes No
A random sample of size 29 is selected from a normal population with mean = and variance = 8. Determine the probability that s? (the sample variance) is between 11.81 and 14.57. 12

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