The standard deviation for a population is σ = 7.73 . A random sample selected from this population gave a mean equal to 49.90 . Construct a 95 % confidence interval for μ assuming n = 100 . Round your answers to two decimal places.
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The standard deviation for a population is σ = 7.73 . A random sample selected from this population gave a
Round your answers to two decimal places.
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- We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=26.1. We would like to be 99% confident that the estimate is within 3 of the true population mean. How large of a sample size is required?Now change the 'Normal' choice to 'Exponential' This changes the underlying population from one that has a normal distribution to one that is very not normal. Change the sample size to 5 and run samples. a. How well do the 95% confidence intervals do at capturing the true population mean when samples sizes are small? b. Now change the sample size to 40 and run samples. Does a larger sample size mean that the intervals are more likely to capture the true population value? Why? Note THIS is an important concept and relates back to the Sampling Distribution of Sample Means and how the SDSM changes as sample size increases when the population is not normal.Suppose you take a random sample of n = 80 Douglas College students and ask each student their age. You find that the mean age of students in this sample is X = 22.0375 years and the sample standard deviation is s = 3.2014 years. Fill in the blanks (rounding to four decimal places): The 95% confidence interval for the mean age μ of all Douglas College students is from ______ years to ______ years.
- You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=21.4. You would like to be 98% confident that your estimate is within 5 of the true population mean. How large of a sample size is required?A marine biologist would like to estimate the mean weight of all mahi mahi on the Treasure Coast, using a 99% confidence interval. The standard deviation of the weights of all mahi mahi on the Treasure Coast is known to be 8.2 pounds. How large a sample of mahi mahi should the marine biologist select so that the estimate is within 0.88 pounds of the true population mean. Round the solution up to the nearest whole number. n=You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=51.3. You would like to be 98% confident that your estimate is within 10 of the true population mean. How large of a sample size is required?
- Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.From a random sample of 66 dates, the mean record high daily temperature in a certain city has a mean of 85.22 F. Assume the population standard deviation is 15.45 F.Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 78 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 19.3 and a standard deviation of 2.1. Find a 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Round your answers to one decimal place.
