Question

In: Statistics and Probability

The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The...

The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 3.

(a) Test H0: μ = 100 versus H1: μ ≠ 100 with a sample of n = 9 specimens and α=0.05.

(b) In another study, the acceptance region is found to be 98.5≤X≤101.5. If n=9, find the value of α used in this study.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 2. Find the boundary of the critical region for the Type I error probability and sample size provided. Round your answers to two decimal places (e.g. 98.76). (a) a(alpha)=.01 and n=2 ≤ x̄≤ (b)= a=.05 and n=2 ≤ x̄≤ (c)= a=.01 and n=7 ≤ x̄≤ (d)= a=.05 and n=7 ≤ x̄≤ Please show...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The population mean is thought to be 100, and the population standard deviation σ is 2. You wish to test H0 : µ = 100 versus H1 : µ 6= 100. Note that this is a two-sided test and they give you σ, the population standard deviation. (a) State the distribution of X¯ assuming that the null is true and n = 9. (b) Find...
The heat evolved per gram of a cement mixture is approximately normally distributed. The mean is...
The heat evolved per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 3. You wish to test Ho:µ =100 versus H:µ ± 100 with a sample of n =9 specimens. (a) If the acceptance region is defined as 98.5<iS101.5, find the type I error probability a. (b) Find B for the case in which the true mean heat evolved is 103. c) Find B for the case...
If the scores per round of golfers on the PGA tour are approximately normally distributed with...
If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 65.5 and standard deviation 1.51, what is the probability that a randomly chosen golfer's score is between 64 and 66 strokes? Question 9 options: 1) We do not have enough information to calculate the value. 2) 0.4695 3) 0.1603 4) 0.3703 5) 0.0076 The daily stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation)...
Calculate the specific heat of a metal (in calories/gram-degree C) from the following data. A container...
Calculate the specific heat of a metal (in calories/gram-degree C) from the following data. A container made of the metal has a mass of 3.10 kg and contains 11.1 kg of water. A 1.10 kg piece of the same metal, initially at a temperature of 140 degrees C, is placed in the water. The container and water initially have a temperature of 15 degrees C, and the final temperature of the entire system is 18 degrees C.
Problem 2. You wish to determine the energy content per gram and Calories per serving of...
Problem 2. You wish to determine the energy content per gram and Calories per serving of a chocolate chip cookie and a banana bread slice from the Student Union to decide which is less “fattening.” The intact cookie and banana bread slice you are analyzing weigh 72.501 g and 69.003 g, respectively. Before you can analyze the samples, the calorimeter heat capacity must be determined. It is known that combustion of 1.000 g of benzoic acid releases 26.44 kJ of...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2932 and standard deviation 585. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that the customer consumes less than 2644 calories. c. What proportion of the customers consume over 3200 calories? d. The Piggy...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2979 and standard deviation 593. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 2979 Correct, 593 Correct) b. Find the probability that the customer consumes less than 2587 calories. c. What proportion of the customers consume over 3353...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2833 and standard deviation 663. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that the customer consumes less than 2436 calories.   c. What proportion of the customers consume over 3123 calories?   d. The Piggy...
A particular fruits weights are normally distributed with a mean of 387 gram and a standard...
A particular fruits weights are normally distributed with a mean of 387 gram and a standard deviation of 13 grams if a fruit is picked at random then 19% of the time its weight will be greater than how many grams give your answer to the nearest gram
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT