5.) Suppose a researcher collected data on the mean height of tomato plants grown in organic soil, and in computing the confidence interval for the population mean, and the margin of error was computed to be 4.86 inches.
Use that to answer the following questions:
a. What is the length of the confidence interval (i.e. from the first number to the second how long is the interval) if the margin of error is 4.86 inches? (2pts)
b. If the data collected came from 25 tomato plants and the mean for the sample was 13.8 inches what is the confidence interval that was found? (2pts)
c. Suppose the sample size was increased from 25 plants to 100 plants, how would the margin of error change? Be specific. (2pts)
5.) Suppose a researcher collected data on the mean height of tomato plants grown in organic...
Height data, collected from a statistics class, has a mean, X = 68.21 inches, and a standard deviation of s=4.01 inches. The sample size of the data was n = 36. Suppose the data collected could be considered a random sample of WCU students. Calculate the lower boundary of a 99% confidence z-interval. Give your answer as a decimal number rounded to 2 decimal places. INinto nu can use the calculator to find this solution or do this by hand)...
A 95% confidence interval for the mean height in millimeters of hydroponic tomato plants 14 days after germination is (56.1, 66.9). What is the correct interpretation of the confident interval? We can be 95% confident that the true mean height of hydroponic tomato plants 14 days after germination is between 56.1 and 66.9 millimeters. We can be 95% confident that the sample mean height of hydroponic tomato plants 14 days after germination is between 56.1 and 66.9 millimeters. 95% of...
The following data represent the concentration of dissolved organic carbon (m/L) collected from 20 samples of organic soil Assume that the population is normaly distributed. Complete parts (a) through (c) on the right 5.20 8.81 30.91 9.80 29.80 17.50 4.86 14.86 27.10 20.46 20.46 8.09 16.51 14.90 15.35 20.46 1687 33.67 9.72 18.30 (a) Find the sample mean The sample mean is Round to two decimal places as needed) (b) Find the sample standard deviation. The sample standard deviation is...
The following data represent the concentration of organic carbon (mg/L) collected from organic soil. Construct a 99% confidence interval for the mean concentration of dissolved organic carbon collected from organic soil. (Note: x overbarxequals=16.67mg/L and sequals=8.12mg/L 10.30 8.81 30.91 19.80 29.80 5.30 14.86 14.86 27.10 20.46 10.30 8.09 16.51 14.90 15.35 10.30 14.00 33.67 9.72 18.30 Construct a 99% confidence interval for the mean concentration of dissolved organic carbon collected from organic soil. (_ , _) (Use ascending order. Round...
The following data represent the concentration of organic carbon (mg/L) collected from organic soil. Construct a 99% confidence interval for the mean concentration of dissolved organic carbon collected from organic soil. (Note: x overbarxequals=16.67mg/L and sequals=8.12mg/L 10.30 8.81 30.91 19.80 29.80 5.30 14.86 14.86 27.10 20.46 10.30 8.09 16.51 14.90 15.35 10.30 14.00 33.67 9.72 18.30 Construct a 99% confidence interval for the mean concentration of dissolved organic carbon collected from organic soil. (_ , _) (Use ascending order. Round...
Suppose that a researcher collected a sample of size 20 from a normal population and produced the following 99% confidence interval for the population mean μ, with the population standard deviation known: (21.78, 27.42). Find a 95% confidence interval for μ based on the same sample.
I have collected data about ages of 51 customers and find the mean of the data is 39, and the margin of error for a 99% confidence interval estimate is 16. What t-value should I use in computing the interval estimate? A. 0.010 B. 2.678 C. 1.304 D. 0.500 E. 0.990
In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.6 cm. Assuming that head circumferences for infants are normally distributed with standard deviation 2.1 cm, determine a 95% confidence interval for the mean head circumference of all infants. Step 1: Determine ??/2. Step 2: Determine the CI. Step 3: Interpret the CI. Obtain the margin of error, ?, for the CI you found in part (a). Determine the...
7. A researcher collected data from a normally distributed population with o-28 and an unknown population mean. The researcher used a sample the size of n=49 and got a mean of M=65. Construct a 95% confidence interval based on the researcher's data. What can you conclude about the population's mean based on this interval?
10. Properties of a confidence interval Suppose the mean of a population is 22. A researcher (who does not know that p Then she constructs a 95% confidence interval of the population mean. 22) selects a random sample of size n from this population. The true population mean and the researcher's 95% confidence interval of the population mean are shown in the following graph. Use the graph to answer the questions that follow Sample Mean 95% Confidence interval of the...