QUESTION 35 (Problem Set #4) It is known that a bottle of cologne has on average...
QUESTION 35
-
(Problem Set #4)
It is known that a bottle of cologne has on average 4 ounces of content with the standard deviation of 0.13 ounces. A random sample of 100 bottles is selected.
The standard deviation of the sample mean is
a. 0.542 ounces
b. 0.013 ounces
c. 0.500 ounces
d. 4 ounces
3.75 points
QUESTION 36
-
(Problem Set #5)
In a large university, 70% of the students live in the dormitories. A random sample of 110 students is selected for a particular study.
The probability that the sample proportion of students living in the dormitories falls in between 0.6 and 0.8 equals
a. 0.9780
b. 0.9318
c. 0.9365
d. 1.6450
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QUESTION 35
(Problem Set
#4)
It is known that a bottle of cologne has on average...
4. In a local university, 10% of the students live in the dormitories. A random sample...
4. In a local university, 10% of the students live in the dormitories. A random sample of 100 students is selected for a particular study a) What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.172 and 0.178? b) What is the probability that the sample proportion is greater than 0.025?
QUESTION 4 (4 marks) A manufacturer of contact lens solution produce a 500ml bottle with tightly...
QUESTION 4 (4 marks) A manufacturer of contact lens solution produce a 500ml bottle with tightly controlled salinity. The Naci content of the bottles is normally distribution. A random sample of 35 bottles from the manufacturer were tested and yielded a mean of 4.6 and a standard deviation of 0.05. Construct a 95% confidence interval for the average NaCl content of the bottles of contact lens solution.
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It has been seen that the mean grade point average for students who live on campus is 2.75 with standard deviation of 0.43, while that of students who live off campus is 2.6 with standard deviation of 0.68. 7 sophomores are randomly selected from campus dormitories at a college and 20 sophomores are randomly selected from students who live off campus. The mean grade point averages of the two groups are compared. The expected difference in the sample grade point...
Please show work if possible! It has been seen that the mean grade point average for...
Please show work if
possible!
It has been seen that the mean grade point average for students who live on campus is 2.78 with standard deviation of 0.44, while that of students who live off campus is 2.54 with standard deviation of 0.63. 5 sophomores are randomly selected from campus dormitories at a college and 9 sophomores are randomly selected from students who live off campus. The mean grade point averages of the two groups are compared The expected difference...
A pharmaceutical company making antibiotics has to abide by certain standards set by the Food and...
A pharmaceutical company making antibiotics has to abide by certain standards set by the Food and Drug Administration. The company performs some testing on the strength of the antibiotic. In a case of 25 bottles, 4 bottles are selected for testing. If the case actually contains 5 understrength bottles, what is the probability that the sample chosen will contain no understrength bottles? Exactly 1 understrength bottle? How many understrength bottles would be expected in the sample? What is the standard...
4 pts X Ons wit in ap The average GPA score for students at a university...
4 pts X Ons wit in ap The average GPA score for students at a university was 3.75. rive years later, a professor wants to perform a hypothesis test to determine whether the average GPA score of students at the university has changed. He picks a random sample of 50 students and obtains their mean GPA score, which is 3.10. The population standard deviation is known as 1.15. Test whether the claim that the average GPA score at the university...
6. A fruit juice manufacturer claims that on average the vitamin C content of their new...
6. A fruit juice manufacturer claims that on average the vitamin C content of their new 375ml bottle of orange juice is greater than 200mg. It would be unwise to reject their claim without strong contradictory evidence. A random sample of 6 bottles were tested for vitamin C content and yielded the sample 196.52mg with sample standard mean r deviation s 7.87. Page 1 of 4 MATH2124 SAMPLE EXAM II (a) If X bottle of orange juice is less than...
QUESTION 13 Let X equal the number of milliliters in a bottle that has a label...
QUESTION 13 Let X equal the number of milliliters in a bottle that has a label volume of 350 ml. Assume that the distribution of X is normal. We want to test the null hypothesis Ho u = 355 against the alternative hypothesis Ha u < 355. From a random sample of 12 bottles, we get a sample mean of ă = 353.8333 and sample standard deviation, s = 2 ml. Answer the following questions. Part 1: (3 points) Define...
QUESTION 4 The GPAs of all students enrolled at a large university have an approximately normal...
QUESTION 4 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.30. Find the probability that the mean GPA of a random sample of 49 students selected from this university is 2.75 or lower. Round your answer to four decimal places. Attach File
4. A yogurt cup is advertised as containing 6 oz of yogurt but the machine that...
4. A yogurt cup is advertised as containing 6 oz of yogurt but the machine that fills the cups doesn't put exactly 6 oz of yogurt into each cup. The amount varies slightly. The amount of yogurt follows a normal distribution with a mean that can be set to any desired amount by adjusting the machine. The standard deviation of the amount of the yogurt is always 0.05 oz, regardless of the mean amount. If the company wants to be...
4. In a local university, 10% of the students live in the dormitories. A random sample of 100 students is selected for a particular study a) What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.172 and 0.178? b) What is the probability that the sample proportion is greater than 0.025?
QUESTION 4 (4 marks) A manufacturer of contact lens solution produce a 500ml bottle with tightly controlled salinity. The Naci content of the bottles is normally distribution. A random sample of 35 bottles from the manufacturer were tested and yielded a mean of 4.6 and a standard deviation of 0.05. Construct a 95% confidence interval for the average NaCl content of the bottles of contact lens solution.
Please show work if
possible!
It has been seen that the mean grade point average for students who live on campus is 2.78 with standard deviation of 0.44, while that of students who live off campus is 2.54 with standard deviation of 0.63. 5 sophomores are randomly selected from campus dormitories at a college and 9 sophomores are randomly selected from students who live off campus. The mean grade point averages of the two groups are compared The expected difference...
4 pts X Ons wit in ap The average GPA score for students at a university was 3.75. rive years later, a professor wants to perform a hypothesis test to determine whether the average GPA score of students at the university has changed. He picks a random sample of 50 students and obtains their mean GPA score, which is 3.10. The population standard deviation is known as 1.15. Test whether the claim that the average GPA score at the university...
6. A fruit juice manufacturer claims that on average the vitamin C content of their new 375ml bottle of orange juice is greater than 200mg. It would be unwise to reject their claim without strong contradictory evidence. A random sample of 6 bottles were tested for vitamin C content and yielded the sample 196.52mg with sample standard mean r deviation s 7.87. Page 1 of 4 MATH2124 SAMPLE EXAM II (a) If X bottle of orange juice is less than...
QUESTION 13 Let X equal the number of milliliters in a bottle that has a label volume of 350 ml. Assume that the distribution of X is normal. We want to test the null hypothesis Ho u = 355 against the alternative hypothesis Ha u < 355. From a random sample of 12 bottles, we get a sample mean of ă = 353.8333 and sample standard deviation, s = 2 ml. Answer the following questions. Part 1: (3 points) Define...
QUESTION 4 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.30. Find the probability that the mean GPA of a random sample of 49 students selected from this university is 2.75 or lower. Round your answer to four decimal places. Attach File
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