ANSWER ALL THE QUESTIONS AND WRITE THE CORRECT LETTER FOR EACH OF THE NUMBERS
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.
ANSWER ALL THE QUESTIONS AND WRITE THE CORRECT LETTER FOR EACH OF THE NUMBERS
![For items 9 to 13, refer to the given situation: Hauz of Gaz claims that more than
two-thirds of the houses in a certain subdivision use their brand. Is there a reason
to doubt this claim if 25 out of a random sample of 40 houses in the subdivision
| use the company's brand? Test the claim at 0.01 level of significance.
9. What are the null and alternate hypotheses?
A. Ha:p = 0.67; H9:p # 0.67
B. Hạ:p + 0.67; Ho:p = 0.67
C. Haip > 0.67; H9:p # 0.67
D. Ha:p > 0.67; Họ:p = 0.67
10. What type of test is appropriate for this situation?
C. x – test
A. z – test
B. t- test
D. F – test
11. Which of the following are the critical values at a = 0.01?
В. 2.33
А. — 2.33
C. +2.33
D. +2.262
12. What is the value of the test statistic?
A. 0.6053
B. 0.6503
C. -0.5590
D. -0.6503
13. Based on the result on the comparison between critical and computed value,
what can be concluded?
A. There is enough evidence to reject the claim that more than two-thirds of
the houses in the subdivision use Hauz of Gaz brand.
B. There is not enough evidence to reject the claim that more than two-
thirds of the houses in the subdivision use Hauz of Gaz brand.
C. Accept the alternative hypothesis.
D. The given information is not enough to make any conclusion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06eba34c-d206-470b-82c8-1af8c3d0772f%2F21a24e3c-4a6c-4e40-9922-d4b2cf7caa45%2Fw8zwtw_processed.png&w=3840&q=75)
![For numbers 14 to 17: The maximum oxygen uptake of healthy women is assumed
to be thirty. Thirty women in a mountain city were measured, and the following
values were found: mean is 33.3, and the standard deviation is 12.14. Can we
hypothesized at 0.05 level of significance that these women have a higher than thirty
oxygen uptake?
14. What statistic to be used in testing the hypotheses?
C. T-test for two means
D. T-test for single mean
A. Z-test for single mean
B. T-test for paired difference
15. What is the computed test statistics?
А. 1.354
16. What is the critical value?
В. 1.489
C. -1.354
D. 15.34
C. 1.699
А. 1.645
17. What would be your decision concerning the null hypothesis?
A. Reject the null hypothesis
B. There is insufficient data to make a decision
C. Failed to reject the null hypothesis
В. 1.96
D. 1.697
D. Either A or B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06eba34c-d206-470b-82c8-1af8c3d0772f%2F21a24e3c-4a6c-4e40-9922-d4b2cf7caa45%2F2fx7vg_processed.png&w=3840&q=75)
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