You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample of 40 bacteria reveals a sample mean of ¯x=66xhours with a standard deviation of s=6.4 hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.6 hours at a 90% level of confidence. What sample size should you gather to achieve a 0.6 hour margin of error? Round your answer up to the nearest whole number.

Q: A population of scores has μ = 44. In this population, a score of X = 40 corresponds to z = −1.00.…

A: Where,

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: study of a population showed that​ males' body temperatures are approximately Normally distributed…

A: We have given that the Mean=98.3, Standard deviations=0.60

Q: Give your answer to the nearest gram.

A: From given data we have : μ=678,σ=8,n=13

Q: |(a) What are the null hypothesis Ho and the alternative hypothesis Hj that should be used for the…

A: Test is that whether the mean weight of babies is greater than 7.2 pound. The type I error is…

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

A: Given,population standard deviation(σ)=45.7margin of error(E)=10α=1-0.98=0.02α2=0.01Z0.01=2.3263

Q: t random, then 8% of the time, their mean weight will be greater than how many grams? Give your…

A: According to the sum, A particular fruit's weights are normally distributed, with a mean of 596…

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

A:

Q: A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard…

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

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 234…

A:

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

A:

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

A:

Q: An article in the San Jose Mercury News stated that students in the California state university…

A:

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Assume random variable X denotes the lengths of pregnancies in a small rural village. It is given…

Q: If you pick 25 fruits at random, then 9% of the time, their mean weight will be greater than how…

A:

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

A: given data  95% ci for μ. σ = 58.3 E = 2 n = ?

Q: A population of scores has µ=44. In this population, a score of X= 40 corresponds to z= - 0. 50.…

A:

Q: A study of a population showed that​ males' body temperatures are approximately Normally distributed…

A: given data normal distributionμ = 98.4σ = 0.4095th percentile = ?

Q: A population has μ = 50 and σ = 5. If 10 points are added to every score in the population, what are…

A: Consider, (µ) = 50 and (σ) = 5 Let, X be the scores of the population. If 10 points are added to…

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

A: Given,margin of error (E)=2standard deviation(s)=24.3α=1-0.90=0.1α2 =0.05Z0.05  =1.645

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.