Question

In: Statistics and Probability

The mean caloric intake of an adult male is 2800 with a standard deviation of 115....

The mean caloric intake of an adult male is 2800 with a standard deviation of 115. To verify this information, a sample of 25 men are selected and determined to have a mean caloric intake of 2950. Determine the 98% confidence interval for mean caloric intake of an adult male.

Solution:

Since n < 30, a t-test must be used.

2950 – qt(1.98/2,24)*115/sqrt(25)

2950 + qt(1.98/2,24)*115/sqrt(25)

[2892.68, 3007.32]

What is wrong with this solution?

Solutions

Expert Solution

This answer is totally correct.we can check it by manually as well as using Minitab software.

Using Minitab software we get output ,

Thank You!


Related Solutions

Adult male height is normally distributed with a mean of 69.2 inches and a standard deviation...
Adult male height is normally distributed with a mean of 69.2 inches and a standard deviation of 2.28 inches. a) If an adult male is randomly selected, what is the probability that the adult male has a height greater than 69.1 inches? Round your final answer to four decimal places. b) If 28 adult male are randomly selected, what is the probability that they have a mean height greater than 70 inches? Round your final answer to four decimal places.
Suppose that the mean caloric intake for Americans is 2,500 calories per day, with a standard...
Suppose that the mean caloric intake for Americans is 2,500 calories per day, with a standard devia- tion of 175 calories per day. Assume that caloric intakes for Americans are approximately normally distributed. (a) (3 points) Find the probability that a randomly selected American consumes more than 2,250 calories per day. (b) (3 points) Find the probability that a randomly selected American consumes at most 1,950 calo- ries per day. (c) (3 points) Find the probability that a randomly selected...
Day 1 Caloric intake: 859 kcals Day 2 Caloric Intake: 1207 kcals Day 3 Caloric Intake:...
Day 1 Caloric intake: 859 kcals Day 2 Caloric Intake: 1207 kcals Day 3 Caloric Intake: 437 kcals It has been postulated that an excess of 3,500 calories = 1 pound of fat gain. Likewise, a deficit of 3,500 calories results in 1 pound of fat loss. For the purpose of this question, we will assume that all excess calories you eat are stored as fat. Based on your answer to the question above, if your current calorie intake pattern...
For of a bell-shaped data with mean of 115 and standard deviation of 22, approximately a)...
For of a bell-shaped data with mean of 115 and standard deviation of 22, approximately a) 0.15% of the values lies below: b) 68% of the middle values lies between:  and c) 2.5% of the values lies above: d) 0.15% of the values lies above:
For an adult male the average weight is 179 pounds and the standard deviation is 29.4...
For an adult male the average weight is 179 pounds and the standard deviation is 29.4 pounds. We can assume that the distribution is Normal (Gaussian). Answer the following questions either via simulations (use 10000 points) or via “rule of thumbs”. I). What is the approximate probability that a randomly picked adult male will weigh more than 180 pounds? Pick the closest answer. (6.66 points) a. About 15% b. About 30% c. About 50% d. About 65% II) What would...
We wish to know if we can conclude that the mean daily caloric intake in the...
We wish to know if we can conclude that the mean daily caloric intake in the adult rural population of a developing country is less than 2000. A sample of 500 had a mean of 1985 and a standard deviation of 210. Let alpha = .05
We wish to know if we can conclude that the mean daily caloric intake in the...
We wish to know if we can conclude that the mean daily caloric intake in the adult rural population of a developing country is less than 2000. A sample of 500 had a mean of 1985 and a standard deviation of 210. Let alpha = .05
probation officer caseloads have a mean of 115 and a standard deviation of 10. Caseloads sizes...
probation officer caseloads have a mean of 115 and a standard deviation of 10. Caseloads sizes are normally distributed. a. what is the probabily in proportion of percentage that a probation officer has a caseload between 90 and 105? b. whatbis the probability in proportion or percentage that a probability officer has a caseload larger than 130? c. one probation officer has more caseloads than 80 percent of all officers. at the least, how many caseloads does this officer have?
Given that the heights of adult males show a mean of 69” and standard deviation 2.7.”...
Given that the heights of adult males show a mean of 69” and standard deviation 2.7.” A sample of 37 adult males shows a mean of 68.2” and standard deviation of 2.9.” 1.Which of the following shows mean of population , mean, standard deviation of a population and s in this order? a. 69” 2.7” 68.2” 2.9” b. 69” 68.2” 2.9” 2.7” c. 69” 68.2” 2.7” 2.9” d. 68.2” 69” 2.7” 2.9” 2. What is the standard deviation of the...
The lengths of adult males' hands are normally distributed with mean 190mm and the standard deviation...
The lengths of adult males' hands are normally distributed with mean 190mm and the standard deviation is 7.7mm. Suppose that 49 individuals are randomly chosen. What is the probability that the average length of the 49 randomly selected male hands is less than 188.9 mm
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT