A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of ¯x=80x¯=80 hours with a standard deviation of s=4.4s=4.4 hours. He would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.7 hours at a 99% level of confidence. What sample size should you gather to achieve a 0.7 hour margin of error? He would need to sample __________ bacteria.

Q: For the majority of maths tests taken at a school, it is shown that the test score is approximaly…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: The average U.S. adult weight is 180 lbs. with a standard deviation of 15 lbs. A nutritional…

A: Given: X=Weight of US adult. Sample mean, x=165 Sample size, n=100 Population mean, μ=180 Standard…

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: (a)   Obtain the probability that X is more than 60. The probability that is more than 60 is…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268.5…

A: It is given that the length of pregnancies is normally distributed with mean 268.5 and standard…

Q: You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample…

A: The provided information are: Population standard deviation σ=4 Margin of error (E) = 0.5 Confidence…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261.5…

A: Given data, Mean=261.5 sd=17.6 In what range would you expect to find the middle 68% of most…

Q: (b) Find the 1oth percentile of x. Round the answer to at least two decimal places. The 10t…

A: Given that.   X~N( μ , ?^2 )   μ= 31    , ?=6  ,n=60   Z-score =( x - μ )/?

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A:

Q: concentration (µg/mL) of a specific dose of ampicillin in the urine after various periods of time.…

A: In question, Given that we want to estimate the concentration (µg/mL) of a specific dose of…

Q: ong with his research? moose the correct answer below. A. Yes, a P-value only indicates the…

A: Given  Hypothesis Ho: μ=27.4 vs H1: μ<27.4 P value=0.002

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of…

A: Solution: Let X be the IQ of an individual. From the given information, X follows normal…

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: Given information: mean, μ=86 Standard deviation, σ=29. a) The probability that x is more than 60…

Q: You are a correctional officer interested in whether the 45 children in your juvenile facility have…

A: Given information- Population mean, μ = 10 per year Sample size, n = 45 Sample mean, x-bar = 14 per…

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: GivenMean(μ)=84standard deviation(σ)=21

Q: You are conducting an experiment to examine the anxiety levels of a group of Engineering studer The…

A:

Q: deviation of s=7s=7  hours.  You would like to estimate the mean lifespan for this species of…

A:

Q: ed in the table. = 0.0804 and the standard deviation of the differences is xdif = fference in the…

A:

Q: duction of 12 male red-winged blackbirds before and after receiving testosterone implants was…

A: given:  d = 0.056  sd = 0.175  probability of 0.8, mean change of 0.01

Q: A sample of size 60 will be drawn from a population with mean 31 and standard deviation 6 .Find…

A: Given that.   X~N( μ , ?)   μ=31     , ?=6   Z-score =( x - μ )/?

Q: A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35…

A:

Q: A population with µ = 46 and s = 9 is transformed into z-scores. After the transformation, what is…

A: Answer: For the given data,

Q: A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x…

A:

Q: You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample…

A: Given information- Sample standard deviation, s = 6 hours Confidence interval = 0.98 Significance…

Q: You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample…

A:

Q: We have a recent set of data of n=30 Americans, the sample mean = 14 hours per day, the standard…

A: The sample mean and population mean is whether related or not is calculated using the z test when…

Q: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured…

A: Solution

Q: Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8…

A: Formula :

Q: Hypertension A pilot study of a new antihypertensive agent is performed for the purpose of planning…

A: From the given information, let…

Q: After wearing the patch for 90 minutes, a second pain rating is recorded and the researcher observes…

A:

Q: A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35…

A: Given : Margin of error =0.5 Standard deviation (s) =7 Confidence level =95%

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, what value…

A: X follows a Normal distribution with mean = 35 and S.D = 7.5 Then z=(x-mean)/SD = (x-35)/7.5…

Q: ive a life expectancy of x = 71.5 years with a standard deviation of s, = 6.6 years. A sample of 6…

A: According to guidlines we can strickly answer three subspartsRural town:Sample size Sample mean…

Q: Suppose the standard deviation of the sample mean is equal to 0.6. If a sample of size n=100n=100 is…

A: Given, Sample standard deviation of mean = 0.6 Sample size =100 Population standard deviation is…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, what value…

A: From the given information, normal distribution with population mean as 35 and standard deviation as…

Q: onsider a population that has a score of X = 15 associated with a z-score of +1.50. What does this…

A: Given: X=15  z-score =+1.50

Q: distribution that is approximately normal with mean ? = 82 and standard deviation ? = 22. Note:…

A: Let X be the random variable from normal distribution with mean (μ) = 82 and standard deviation (σ)…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.