Question

In: Statistics and Probability

The melting point (in degrees Fahrenheit) for a randomly selected tub of margarine of a certain...

The melting point (in degrees Fahrenheit) for a randomly selected tub of margarine of a certain brand is known to have a normal distribution with a SD, σ = 1.21. A sample of n = 5 tubs of margarine is drawn. The sample mean of melting temperature is computed to be ¯x = 95.3. (a) Construct a 95% confidence interval for the mean melting temperature. (b) Construct a 99% confidence interval for the mean melting temperature. Compare the width of the two intervals in (a) and (b)? (c) Did you use the central limit theorem to construct the intervals in (a) and (b)? Explain.

Solutions

Expert Solution


Related Solutions

Melting point of ferrocene = 171.5-172.6 degrees Celcius Literature melting point of ferrocene = 172-174 degrees...
Melting point of ferrocene = 171.5-172.6 degrees Celcius Literature melting point of ferrocene = 172-174 degrees Celcius Melting point of acetylferrocene = 78.9-83.2 degrees Celcius Literature melting point = 81-81 degrees Celcius What do these melting points indicate about the purity and identity of the ferrocene and acetylferrocene samples?
A substance has a melting point of 20 degrees celsius and a heat of fusion of...
A substance has a melting point of 20 degrees celsius and a heat of fusion of 3.4*10^ 4 J/kg. The boiling point is 150 degrees celsius and heat vaporization is 6.8*10^ 4 J/kg at a pressure of one atmosphere. The specific heats for the solid,liquid and gaseous phases are 600 J/kg , 1000 and 400. How much heat is required to raise the temperature 1.90kg of this substance from -4 degrees celsius to 106 degrees celsius at a pressure of...
Problem 3 The melting point of gold is known to be approximately 1,060 degrees centigrade. This...
Problem 3 The melting point of gold is known to be approximately 1,060 degrees centigrade. This is, of course, an average figure, for unavoidable ‘experimental error’ causes more or less variation from this figure whenever the test is actually performed. The best measure of these variations is the standard deviation. Suppose this has been calculated from a large series of tests (assume n = 100), and found to be 3 degrees centigrade. Due to the recent increase in the price...
Problem 3 The melting point of gold is known to be approximately 1,060 degrees centigrade. This...
Problem 3 The melting point of gold is known to be approximately 1,060 degrees centigrade. This is, of course, an average figure, for unavoidable ‘experimental error’ causes more or less variation from this figure whenever the test is actually performed. The best measure of these variations is the standard deviation. Suppose this has been calculated from a large series of tests (assume n = 100), and found to be 3 degrees centigrade. Due to the recent increase in the price...
Assuming the solvent selected has a boiling point below the melting point of the solid, which...
Assuming the solvent selected has a boiling point below the melting point of the solid, which factor is important for successful recrystallization? A. specific heat B. boiling point C. Melting point D. Solubility
Although gallium is a solid at STP, it had a low melting point (29.76 degrees Celsius)...
Although gallium is a solid at STP, it had a low melting point (29.76 degrees Celsius) and a liquid density of 5.9 g/cm^3. If liquid gallium is used as the barometric liquir instead of mercury, how far would Ga(l) travel up the column when the barometer is exposed to 1 atm pressure?
Write a java program to convert Celsius degrees to Fahrenheit degrees the user enters degrees in...
Write a java program to convert Celsius degrees to Fahrenheit degrees the user enters degrees in Celsius and the program Coverts the input to Fahrenheit using the following formula T(°F) = T(°C) × 1.8 + 32 submit the source code Design output Load: 1. Design (Pseudocode ) 2. Source file (Java file, make sure to include comments) 3. Output file (word or pdf or jpig file)
5. What is the difference between the capillary melting point and true melting point?
5. What is the difference between the capillary melting point and true melting point?
Write a program that displays a temperature conversion table for degrees Celsius and degrees Fahrenheit. The...
Write a program that displays a temperature conversion table for degrees Celsius and degrees Fahrenheit. The table should include rows for all temperatures between 0 and 100 degrees Celsius that are multiples of 10 degrees Celsius. Include appropriate headings on your columns. The formula for converting between degrees Celsius and degrees Fahrenheit can be found on the internet. Python 3
(Python) Write a code converting degrees in Fahrenheit to degrees Kelvin, using this conversion equation conversion...
(Python) Write a code converting degrees in Fahrenheit to degrees Kelvin, using this conversion equation conversion from degrees Fahrenheit to Celcius: ? = (? − 32) x 5/9 and then to degrees Kelvin: ? = ? + 273.15 with the following properties 1) the code should take into account that temperature in degrees Kelvin cannot be smaller than zero. In other words, your code should return 0 Kelvin as the smallest temperature for any input value of degrees Fahrenheit). 2)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT