. In testing the hypothesis Ho : μ = 75 vs H₁ : µ ‡ 75, the following information is known: n=64, x = 78 and ²: = 100. The test statistic is equal to: (a) -2.4 (b) 2.4 (c) 1.96 (d) -1.96 (e) None of the above
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Population mean (µ) = 75
Standard deviations (σ) = √100 = 10
Sample size (n) = 64
Sample mean (x̅) = 78
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- 2. Several different factors influence the value obtained for a t statistic. For each of the following, describe how the value of t is affected. In each case, assume all other factors are held constant. a. What happens to the value of t when the variability of the scores in the sample increases? b. What happens to the value of t when the number of scores in the sample increases? c. What happens to the value of t when the difference between the sample mean and the hypothesized population mean increases?17. In a random sample of n=500 vehicles,there were x=120 SUVS.What is the test statistic for testing Ho :p= 0.25 versus H. : p + 0.25? A.0.24 B.0.3015 C. – 0.5164 D. – 1.1926 18. A study of the lives of water canteens of soldiers in a desert region yields a sample average 4.34 years. The researchers believe that the average life of such canteens is 4.9 years. They test this against the hypothesis that desert conditions decrease the life of the canteen. Write down the hypotheses for this study. Answer:Compare each of the following measures using=, . If there is no basis for comparison, indicate "cannot be determined." 8. m/1 m27 9. m26 3 5n 8. V. 10. mZ1 m/2 6. 11. m25 MZGVE 12. GE GN 13. EN EV 14. GE+EV__GV 15. GI GN
- .Researchers are testing the breaking strength of a new brand of rope using a large sample of ropes. In a test of Ho: p=0.80 versus Ha: p>0.80, where p is the true proportion of all ropes of this brand that would break when subjected to a weight of 1000 pounds, the test statistic is z = 1.45. Which of the following is true? (A) Ho is rejected at the 5% level, but not at the 10% level of significance. (B) Ho is rejected at the 10% level, but not at the 5% level of significance. (C) Ho is rejected at both the 5% and 10% level of significance. (D) Ho is not rejected at both the 5% and 10% level of significance. (E) Ho is not rejected at any level of significance.The results of a mathematics exam at JUST university for two classes are as follows: Class 1: (n=32, mean=15.4, SD=8) and Class 2: (n=36, mean=9.6, SD=12).we are testing if the means are different What is the z statistic (a=0.05): O a. 1.9596 O b. 2.3678 O c. 0.9667 O d. 10.20620. 14. From the following data relating to marks of students of B.Com. class in aclass test in statistics: Find the value of the two quartiles Marks in statistics : 35, 39, 25, 40, 52, 58, 70, 65.
- Scientists suspect that females can smell a particular chemical with an intensity greater than that of males. It is understood that there is a genetic component which affects the sensitivity to this chemical as well. 7 sets of full blood siblings are put near the chemical and asked to rate its intensity on a scale of 0 to 10. (0 means cannot smell.) Here are the results:Please state: 1. Qualitative (Categorical) or Quantitative (Numeric)• If Qualitative: Goodness of Fit or Test of Homogeneity/Independence?• If Quantitative: Proportions or Means?2. State the null and alternative hypotheses. 3. What distribution would you use to conclude the test, assuming all necessary assumptions weresatisfied? If Degrees of Freedom are involved, state them.The results of a mathematics exam at JUST university for two classes are as follows: Class 1: (n=32 , mean=12.6, SD=8) and Class 2: (n=36, mean=2.4, SD=12).we are testing if the means are different What is the z statistic (a=0.05): on О а. 1.7000 O b. 6.1237 O c. 3.7559 O d. 4.1641Consider the following sample: 5.2,7.6,3.4,6.5,7.1 which is selected from r(a, ß). The method of moments estimator of a is: (c) 5.96 (a) 6.5 (b) 5.5 (d) 29.8 (e) None a b d e O
- You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 190 men, and 113 own cats. You sample 50 women, and 24 own cats. Find p (p-bar), as a decimal, rounded to two decimal places. Find the test statistic, rounded to two decimal places. Submit Question 9:24 PM 5/20/2021Q. 35 How do you test the equality of two means of normal populations N(H1,07) and A H2,02) when o and o; are known?Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag and are Normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised, so he intends to test the hypotheses Ho: μ = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be x = 13.88 and the sample standard deviation to be s = 0.24. Suppose in a similar test of 16 bags of these tortilla chips the P-value is 0.001. Further suppose that a is chosen to be 0.001. In that case, we would conclude that: Othere is not significant evidence that the mean net weight of the bags of chips is less than the advertised 14 oz. O there is not significant evidence that the mean net weight of the bags of chips is not less than the advertised 14 oz. O there is significant evidence that the…
