You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of = 64 hours with a standard deviation of s 6.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 99% level of confidence. What sample size should you gather to achieve a 0.45 hour margin of error? Round your answer up to the nearest whole number.

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

A: Given : “Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: a manufacturer claims that the mean lifetime of its fluorescent bulbs is 1050 hours. a homeowner…

A: Given n=40 Standard deviation =80 Xbar=1030 Level of significance=0.05 Mu0=1050

Q: According to the data from the National Health Survey, the height of all adult American women are…

A: The score is calculated below:

Q: Suppose the exam average in a class is 82% with a standard deviation of 6. What proportion of…

A:

Q: According to her doctor, Mrs. Morgan's cholesterol level is higher than only 15% of the females aged…

A: Given Data : μ = 240, σ = 25 Let X be Mrs. Morgan cholesterol level We need to compute X such that…

Q: Suppose the exam average in a class is 72% with a standard deviation of 3. What proportion of…

A:

Q: A livestock company reports that the mean weight of a group of young steers is 1154 pounds with a…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Suppose that pulse rates among healthy adults are normally distributed with a mean of 79 beatsminute…

A: Given that population mean = 79 beats/minute population standard deviation = 10 beats/minute

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

A: Given Data: ME=3/2=1.5 Confidence level=0.93 σ=12

Q: In a study, a large sample was used to estimate the mean systolic blood pressures in a population,…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

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: At a certain grocery store, weekly grocery bills are normally distributed with an average of $75 and…

A: Obtain the standard z-score for the random variable X equals 70. The standard z-score for the random…

Q: Can repressed anger lead to higher blood pressure? In a hypothetical study, 16 college students with…

A: The mean systolic blood pressure for the population is 120 mm HG with a standard deviation of 10, a…

Q: At a certain grocery store, weekly grocery bills are normally distributed with an average of $75 and…

A: Obtain the Z-score for the random variable X equals 70. The Z-score for the random variable X equals…

Q: Among 157 patients ,the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27.…

A: We have to find alternative hypothesis...

Q: Among 157 African-American men, the mean systolic blood pressure was 146 mm Hg with a standard…

A: From the provided information, Sample size (n) = 157 Sample mean (x̅) = 146 mm Sample standard…

Q: Based on the records of the Admissions Office of University U, the mean score of all Grade 12…

A:

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: In a study, a large sample was used to estimate the mean systolic blood pressures in a population,…

A: Solution : Given : μ = 120.1             σ = 15.1 Let , X : Systolic blood pressures Here, X ~ N (…

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

A:

Q: The principal decided that the top 30% of the class with the highest grades in statistics will be…

A:

Q: A livestock company reports that the mean weight of a group of young steers is 1142 pounds with a…

A: Let X be a random variable such that X: Weight of a young steer X~N1142, 792 a) The probability of…

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

A: Here it is given that- Mean (μ) = 0.2 Standard deviation (δ) = 0.05 Let, X be a random variable…

Q: A psychiatrist is testing a new antianxiety drug, which seems to have the potentially harmful side…

A: Given, sample size, n = 50 the mean heart rate was 70 beats per minute If the mean heart rate for…

Q: Suppose the mean blood glucose of a population of adults is 162 with a standard deviation of 58.…

A:

Q: The test scores of students in a class test has a mean of 70 and with a standard deviation of 12.…

A: Given,mean(μ)=70standard deviation(σ)=12

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

A: Given that  Mean score=120 Standard deviation =20 Z score=-0.25 We have to find the raw score..

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 sample of 100 gives the mean weekly wage at $. 50 with a standard deviation of $ 10. Another…

A:

Q: In 1970, adults who were 18 years or more had a mean systolic blood pressure (SBP) of 148 mm Hg.,…

A: Given that in 1970 adults who were 18 years or more had a mean systolic blood pressure (SBP) of 148…

Q: Q2: The mean systolic blood pressure, measured in Nasriya City, of 130 men aged between 50-65 years,…

A: Given: n=130x¯=145.5s=2μ=150α=0.05 The test hypothesis are, H0: μ = 150 H1: μ ≠ 150 This is a…

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

A: Form the given information, Suppose that the antenna lengths of woodlice are approximately normally…

Q: An electrical firm manufactures light bulbs that have a length of life that is approximately…

A: Given data, σ=40E=10z-value at 96% confidence is zc=2.05n=?

Q: On a Physicians Licensure Exam with a population mean of 83 and standard deviation of 8. Jenny…

A: It is given that Mean = 83, Standard deviation 8

Q: The heights of adult women in America are also normally distributed, but with a mean of 64.7 inches…

A: Consider a random variable X which represents the heights of adult women in America.  X  follow…

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

A:

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A:

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A:

Q: According to a recent report from the U.S. National Center for Health Statistics, females between 25…

A: Solution: We are given that:Females between 25 and 34 years of age have a bell-shaped distribution…

Q: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a…

A: formula for z-score is

Q: What is the z-score if our standard deviation was 2, mean of 49 and our specific observation is 47?

A: Given: Standard deviation = 2 Mean= 49 Specific observation =47 Determine the Z- score using the…

Q: In a study, a large sample was used to estimate the mean systolic blood pressures in a population,…

A: Given, Mean μ = 120.1Standard deviation σ = 15.1

Q: One year Todd had the lowest ERA (earned-run average, mean number of runs yielded per nine innings…

A:

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: The scores on a psychology exam were normally distributed with a mean of 64 and a standard deviation…

A:

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

A:

Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

A: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

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: During the winter term, the same student's trip to their college takes 16.39 min by car, with a mean…

A: Solution: Let X be the trip time. From given information, X has mean µ=14.65 min and a standard…

Q: The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a…

A: Z - score :  A Z-score is a numerical measurement that describes a value's relationship to the mean…