0.1 A Single Population Mean using the Normal Distribution Use the following information to answer the next five exercises: The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds. The sample standard deviation is 11 pounds. 1. Identify the following: a. b. C. n = 2. In words, define the random variables X and X. 3. Which distribution should you use for this problem? 4. Construct a 95% confidenceinterval for the population mean weight of newborn elephants. State the confidence interval, sketch the graph, and calculate the error bound. 5. What will happen to the confidence interval obtained, if 500 newborn elephants are weighed instead of 50? Why? Use the following information to answer the next seven exercises: The U.S. Census Bureau conducts a study to determ the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. 6. Identify the following: a. b. C. n= 7. In words, define the random variables X and X.

Q: mean of 665 ounces and a standard deviation of 11 ounces.  Use the Empirical Rule.

A: Given that, The widget weights follows normal distribution with mean of 665 and standard deviation…

Q: The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean…

A: We have given that  Mean=mu=37 , standard deviation=sigma=5 X~Normal(mu=37,sigma=5)

Q: Use the Empirical Rule to answer the questions below: The distribution of weights for newborn…

A:

Q: The manufacturer claims that your new car gets 35 mpg on the highway. You suspect that the mpg is…

A: (a)   Determine the type of test used for the given study.   The type of study used for the given…

Q: A population has a mean and standard deviation of 45 and 9, respectively. A random sample of size 81…

A:

Q: The National Education Association collects data on the number of years of teaching experience of…

A: "Since you have asked multiple questions we will solve the first question for you.if you want any…

Q: Given below are the BMI statistics for random samples of males and females. 0.05. Test the claim…

A: From the provided information, n1=40x1=28.44075s1=7.394076n2=40x2=26.6005s2=5.359442α=0.05

Q: A population has a mean u= 83 and a standard deviation o = 24. Find the mean and standard deviation…

A: Introduction: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken…

Q: П. Distribution of Data - Bell Curve A test was given to 250 students. The mean was 80 and the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ) 99.7% of the widget weights lie between ______ and_______ b) What percentage of the widget…

A:

Q: Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM.…

A: Given observation and calculation is shown below

Q: Assume that the values x below, represent data collected for a population. Calculate the summary…

A: For the given data mean =? s.d =? variance =?

Q: A researcher became interested to estimate the unknown average hours students in a given university…

A:

Q: What symbol is used for the standard deviation when it is a sample statistic? What symbol is used…

A: We know that-

Q: a variable of a population has a mean of 73 and a standard deviation of 36. a. Identify the sampling…

A: Population mean =73Standard deviation =36We have to finda..The distribution of sample mean if sample…

Q: A normal distribution has a mean of u = 24 with a = 3. What is the minimum score needed to be in the…

A: The question is about normal distribution.Given :Mean of the population (  ) = 24Standard deviation…

Q: You want to create a Z-interval for a population mean, using table C, with the following…

A: From the provided information, Sample size (n) = 25 Mean (x̅) = 34.2 Population standard deviation…

Q: Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a)…

A: mean =48 s=4

Q: Men's heights are normally distributed with a mean of 68.6 inches and a standard deviation of 2.9…

A:

Q: The length (in pages) of math research projects is given below. Using this information, calculate…

A: The length of math research projects is given. There are 9 data observations given. Thus, n= 9.

Q: The symbol oz represents the standard deviation of a sample of size n. True O False

A: Answer : B. False

Q: A test has a mean score of 150 and a standard deviation of 12. Soores are normaly distributed. What…

A: Given that, μ=150 and σ=12 We have to find, P(133<X<164)

Q: The police reported that the average driver exceeds the 50 miles per hour speed limit by more than 8…

A: We have given that the average 57.33 miles per hour and standard deviation 4.29 miles per hour.…

Q: The z statistic indicates:

A: here we will use basic of Normal distribution  z- score or z-statistic is Standard Normal Random…

Q: Determine the sample size required to estimate the mean score on a standardized test within 5points…

A: Given,margin of error(E)=5standard deviation(s)=15α=1-0.98=0.02α2=0.01Zα2 =2.33

Q: Use the Empirical Rule to answer the questions below: The distribution of weights for newborn…

A: From the given information, The distribution of weights for newborn babies is approximately normally…

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.