For items 23 - 25. For each of the following conjecture, formulate the null hypothesis and the alternative hypothesis in words and in symbols and identify the claim then distinguish the H₁what type of tests (if one tailed - test, specify)

(See picture below for numbers 23-25)

For items 41 - 50. The human resource of GADTC claims that the mean monthly salary of the senior high school teacher is 16,550.00 with a standard deviation of 4,300.00. A statistician takes a random of 32 senior high school teachers were found to have a mean monthly salary of 19,375.00. Do the 36 senior high school teachers have higher salaries than the rest? Test the claim at 99% level of significance and critical value of z is 2.33.

Answer the following and write it after the sentence or phrase.

41. State the alternative hypothesis in symbol.

42. What is the variable that represents the symbol , on number 41?

43. Is the claim the null hypothesis of the alternative?

44. What type of test, if one tailed-test specify?

45. The critical value of z is

46. What is the value of z using z-test formula?

47. The value of is

48. Make a decision:

49 - 50. State the conclusion:

For items 51 - 60. A manufacturing firm has been averaging 18.2 orders per week for several years. However, during a recession, orders appear to have slowed down. Suppose the firm's production manager randomly selects 32 weeks and finds a sample mean of 15.6 orders, with a standard deviation of 2.3 orders. Test to determine whether the average number of orders is down by using 95% level of significance. (z = 1.645)

51. State the alternative hypothesis in symbol.

52 What is the variable that represents the symbol , on number 41?

53. Is the claim the null hypothesis of the alternative?

54. What type of test, if one tailed-test specify?

55. The critical value of z is

56. What is the value of z using z-test formula?

57. The value of is

58. Make a decision:

59 - 60. State the conclusion:

23. The average number of vehicles passing through NLEX daily is less than 21,000. Hypotheses In words In symbols claim Ho Type of test 24. The average daily number of customers in a convenient store is more than 1,025. Hypotheses In words In symbols claim Ho Type of test 25. The average typing speed of a secretary is 23.8 words per minute. Hypotheses In words In symbols claim Ho Type of test HI