(b) State the hypotheses. O Hi H, " Hgi M,i H,
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Questions C and G please!
![(g) Find a 95% confidence interval for u, - H. (Round your answers to two decimal places.)
lower limit
upper limit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F890db880-490b-4ebd-8134-9ade3709eb7e%2Feb4b8e16-fa5d-49be-823d-097eeaeeda03%2F4azqqid_processed.png&w=3840&q=75)
![A random sample of 49 measurements from one population had a sample mean of 16, with sample standard deviation 3. An independent random sample of 64 measurements from a second population had a sample mean of 18, with sample standard deviation 4. Test the claim that the
population means are different. Use level of significance 0.01.
A USE SALT
(a) What distribution does the sample test statistic follow? Explain.
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
O P The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
(b) State the hypotheses.
(c) Compute x, -x,.
Compute the corresponding sample distribution value. (Test the difference 4, - 42. Round your answer to three decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F890db880-490b-4ebd-8134-9ade3709eb7e%2Feb4b8e16-fa5d-49be-823d-097eeaeeda03%2Fajksavo_processed.png&w=3840&q=75)
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