You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample of 30 bacteria reveals a sample mean of ¯x=74x¯=74 hours with a standard deviation of s=6.2s=6.2  hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.8 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.8 hour margin of error? Round your answer up to the nearest whole number.

Q: A random sample of 14 nurses in a large hospital showed that they worked on average 44.8 hours per…

A: The random variable time follows normal distribution. The sample size is 14. The sample mean is…

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 sample of 30 washing machines yields a mean replacement time of 10 years. Assuming that the…

A:

Q: o=58. From sample sizes of 36 adults find the proportion of sample means having values of at least…

A: here , sample size  = 36 population  mean = 162 population standard deviation = 58

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 average income of 15 families who reside in a large metropolitan East Coast city is $62,456. The…

A: Given that    Sample sizes n1=14   , n2=11        Sample means X̄1=62456     , X̄2= 60213    s1…

Q: a) What is the setup for your null and alternative hypothesis? b) What is the value of the test…

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPARTS PLZ REPOST FOR REMAINING PARTS WITH NOTE I NEED…

Q: A physics lab instructor wants to estimate the time required for physic students to complete a…

A: Given that  Standard deviation = 16 Margin of error = 5

Q: We have a recent set of data of n=15 dodge chargers, the sample mean = 30 miles per gallon, the…

A: Consider that μ is the population mean mileage.

Q: The mean pulse rate for adult males is approximately 61.4 beats per minute. In a sample of 27…

A:

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

A: Solution: From the given information, confidence level is 0.94, σ=25 and E=12.

Q: Age at onset of dementia was determined in the general population to be 70 and standard deviation…

A: Given Information: Age at onset of dementia was determined in the general population to be mean 70…

Q: You may believe that each day, men and women spend about the same amount of time using Facebook. We…

A: Hypothesis to be tested: H0: μ men = μ women  H1: μ men ≠ μ women Let, men and women are the…

Q: The Omani-student in a large university took a survey and It was found that the mean health care…

A:

Q: The Mental Development Index (MDI) is a measure used in observing infants over time. Suppose MDI…

A: Suppose the random variable x defines the MDI.

Q: To estimate the mean height μ of male students on your campus, you will measure an SRS of students.…

A: From the provided information, The height of young men are approximately normal with standard…

Q: A shareholders' group is lodging a protest against your company. The shareholders group claimed that…

A:

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

A:

Q: A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25…

A: It is given that the confidence level is 0.99, the standard deviation is 4.4, and the margin of…

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 shareholders' group is lodging a protest against your company. The shareholders group claimed that…

A:

Q: A standardized test, deigned to measure the mathematical skill level of seventh graders is said to…

A: Given information: μ=75, n=25x¯=79, s=10 Null hypothesis: H0 : μ=75 Alternative hypothesis: HA :…

Q: (a) Identify Ho and H₂. Choose the correct answer below. Ο Α. Ηο: μ = 40 H₂:μ#40 OC. Ho: μ240.6 Ha:…

A: Given that  Sample size n =30 Sample mean =40.6 Population standard deviation =7.7

Q: A shareholders' group is lodging a protest against your company. The shareholders group claimed that…

A: Solution: Given information : n= 67 Sample size  μ=11 years Population meanx= 9 years Sample means=…

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

A: Given,Sample standard deviation, s = 5.4 hours Margin of error, E = 0.5 hourConfidence level, C =…

Q: How large of a sample is required if we want to estimate the mean price of a five year old Corvette…

A: Obtain the critical value at 90% confidence level:It is given that the standard deviation value is…

Q: If the standard deviation of a sample is 9. How many subjects would we need to have 80% power to…

A: Given: Sample standard deviation s = 9 Difference d = 9 Significance level α = 0.025 Formula Used: n…

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 shareholders' group is lodging a protest against your company. The shareholders group claimed that…

A: Given, Sample size = 120 Sample mean = 7.3 Sample standard deviation = 5.8   Set up the null and the…

Q: 4. Find the probability that from 4 to 8 days will be absent next winter. 5. Find the probability…

A: x P(x) 3 0.05 4 0.10 5 0.20 6 0.25 7 0.15 8 0.10 9 0.08 10 0.07

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

A: a) The level of significance is α = 0.01.

Q: For a population with population mean 80 and standard deviation10, what is the z-score corresponding…

A:

Q: The concentration of benzene was measured in units of milligrams per liter for a simple random…

A:

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: A nutritionist claims that the mean tuna consumption by a person is 6 pounds per year. A sample of…

A:

Q: random sample of 76 eighth-grade​ students' scores on a national mathematics assessment test has a…

A: According to the given information in this question We need to find the test statistic p value and…

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.