The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 ilevel that the medicine relieves pain in more than 399 seconds. For a sample of 10 patients, the mean time in which the medicine relieved pain was 406 seconds with a standard deviation of 18. Assume the population distribution is approximately normal. to three decimal places.

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 9.5 fluid…

A: A random sample of 1000 oranges showed that the mean amount of juice per orange was 9.5 fluid…

Q: A frontliner commutes daily from his home to work. The average time for a one-way trip is 35…

A: Let , X be the time Let , X→N(μ=35 , σ=5) Since , his work starts ate 9:00 AM and he leaves his…

Q: Imagine that scores for national aptitude exam have a normal distribution with a mean of 700 a…

A: Given: Mean = 700 Standard deviation = 30 Let X ~ N(700, 302)

Q: A sample of 3000 persons were surveyed for their weight in pounds, the mean weight is 135 lbs with a…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A market researcher wants to estimate the amount of money that a Christmas shopper will spend on…

A: We have to find sample size for given data..

Q: The contents of 40 cans of Coke have a mean of 12.15 fl oz and a standard deviation of 0.09 fl oz.…

A: Given, mean, x= 12.15 fl oz  standard deviation, σ = 0.09 fl oz population mean, μ = 12 fl oz X ~…

Q: Suppose babies born after a gestation period of 32 to 35 weeks have the mean weight of 2800 grams…

A: To determine which baby weights are more relative to the gestation period, for that it is needed to…

Q: The scores on a standardized test are approximately normal with a mean of 83 and a standard…

A: Let T be minimum score needed to be in top 8%

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. What…

A: We have given that,  Let X be the GPA scores from normal distribution with average or mean (μ) =…

Q: Based on the records of the Admissions Office of University X, the mean score of all Grade 11…

A:

Q: In 2019, the amount of money that motorists spent on gas had a normal distribution with a mean of…

A: Given Information Number of persons sampled (n) = 2400 Mean (µ) = 900 Standard deviation(σ) = 100…

Q: of driver's education students is 68 points, with a standard deviation of 4 points. Apply…

A: Given

Q: A marketing specialist wants to estimate the average amount spent by visitors to an online…

A:

Q: Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…

A: Given data: Mean = 0.22 inches Standard deviation  = .05 inches To find: What proportion of woodlice…

Q: Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…

A: Obtain the Z-score of the random variable X equals 0.27. The Z-score of the random variable X equals…

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and…

A: According to the given information, we have Mean (32 to 35 weeks)= 3000 grams Standard deviation (32…

Q: The mean height of Grade 11 students at a certain University is 150 cm and the standard deviation is…

A:

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122…

A: Given data,Mean μ=122sd σ=16

Q: The heights of 1000 students are normally distributed with a mean of 175 centimeters and a standard…

A:

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A: Given,standard deviation(σ)=8margin of error(E)=2α=1-0.94=0.06α2=0.03Z0.03=1.8808       (from…

Q: A livestock company reports that the mean weight of a group of young steers is 1150 pounds with a…

A: μ=1150σ=87  =P1050<x<1250

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and…

A:

Q: At one college GPAs are normally distributed with a mean of 2.55 and a standard deviation of 0.49.…

A: Empirical rule says that in a normal data set, virtually every piece of data will fall within three…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 118…

A: Note: Please repost d subpart as i can answer only 3 subparts as per my policy. Given data,…

Q: Assume that the mean height of women in the United States is 64.5 inches, with a standard deviation…

A: GivenMean(μ)=64.5standard deviation(σ)=2.5woman height(x)=63

Q: ) Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard…

A: Let "X" be the IQ score of adults. Find z-value (z): Refer Standard normal table/Z-table, Lookup…

Q: Assume that the test scores for a large class are normally distributed with a mean of 64 and a…

A: Solution-: Given: We find P(the class received a higher score than 78)=?

Q: In a factory producing parts for an electronic appliance, the length of a large  number of parts…

A: From the provided information, Mean (µ) = 3 Standard deviation (σ) = 0.05 X~N (3, 0.05) Here X be a…

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and…

A: Given that, Mean (Gestation period of 32 to 35 weeks) = 2600 Standard deviation (Gestation period of…

Q: For a medical study, a researcher wishes to select people in thr middle 75% of the population based…

A: Introduction: Definition: Z-score A Z-score is a numerical measurement that describes a value's…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 119…

A: Given data,μ=119σ=16P(X≥160)=?

Q: In a certain year, the nationwide SAT verbal score averaged 430 with a standard deviation of 96.…

A: It is given that the mean and standard deviation are 430 and 96, respectively.

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121…

A: X follows a Normal distribution with mean = 121 and S.D = 19 Then z=(x-mean)/SD = (x-121)/19…

Q: A manufacturer of calculator batrries claims that the mean length of life for its battry is 500…

A:

Q: Brooklyn earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She…

A: Here we are to assume that scores on each exam are normally distributed.   For exam A, Brooklyn…

Q: A lab technician is tested for her consistency by making multiple measurements of the cholesterol…

A: Solution: Given information: n=12 Sample size  σ= 1.2 mg/dL  Population standard deviation  s= 1.5…

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: Given,sample size (n)=50sample mean(μ)=268standard deviation (σ)=15

Q: The ENGR/PHYS 216 faculty have a final exam grade distribution that is, miraculously, exactly a…

A: Let X be the observation. X follows normal distribution that has mean µ = 73 and the standard…

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A: Given Data: ME=4/2=2 σ=8   z-value corresponding to 97% of CI=2.17

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A:

Q: The average weight of a group of students is 68 kg with a standard deviation of 8 kg. If the z-score…

A: Givenmean(μ)=68standard deviation(σ)=8z-score=0.5

Q: A major credit card company has determined that the amount its customers charge on their accounts is…

A: Solution: Let X be the number of customers charge on their accounts. From the given information, X…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122…

A: Given that, The systolic blood pressure of adults in the USA is nearly normally distributed with a…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121…

A: Here the systolic blood pressure of US adults is normally distributed with mean=121 and SD=21. Also…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 118…

A: The parameter {\displaystyle \mu } is the mean  or expectation  of the distribution (and also its…

Q: Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3…

A:

Q: Assume that the results are normally distributed. Pedro took an exam in a class in which the mean…

A:

Q: A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is…

A:

Q: The national scores on an exam were normal distributed with a mean of 428 and a standard deviation…

A: Let X denote the national scores on an exam and it follows normal distribution with mean and a…

Q: The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is 15…

A: