5 (15) Short Questions (Show all work) (a) (3) The melting point of each of 16 samples of a certain brand of hydrogenated oil was determined resulting in X = 94.32. Assume that the distribution of the melting point is normal with a = 1.20. We test the hypothesis Họ: µ = 95 vs Ho: µ # 95. If a significance level of 0.10 is used, that if the probability of not concluding that true average melting point is different from 95, when the actual average melting point is 94. (Clearly first write down the formula to calculate the same and then calculate)

A survey on lamb farms was conducted and data were collected on the followingvariables from a random sample of 30 farmers.Y = average live weight of ewes (kg)X1 = area of grazing land (m2) X2 = proportion of farm area that cannot be cultivatedX3 = proportion of area closed for lambs before weaning Question: The use of Pearson's correlation analysis between the average live weight of ewes and the othervariables is valid because Choices: Data are quantitativeOne variable is used to predict other variableNone were correctBoth are correct

The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows. Can you conclude that the mean strength after three days differs from the mean strength after six days? Let μ1  represent the mean strength after three days and  =μd−μ1μ2 . Use the  =α0.05  level and the  P-value method with the TI-84 Plus calculator. do we reject  is there enough evidenc e     Block   1 2 3 4 5 After 3 days 1354 1311 1338 1330 1307 After 6 days 1341 1371 1351 1320 1327

The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76   5-Compute a 95% CI for the difference in meansbetween the two groups

describe these two test results of SPSS

Unfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.0 ppb arsenic, with s = 2.3 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О но: и 3 8 рb; н,: и +8 ppb O Ho: H > 8 ppb; H: µ = 8 ppb O Ho: H = 8 ppb; H: µ > 8 ppb O Ho: H = 8 ppb; H,: µ < 8 ppb O Ho: H < 8 ppb; H,: µ = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is…

Unfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 41 tests gave a sample mean of x = 6.9 ppb arsenic, with s = 2.8 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 8 pb О Но: и> 8 рpb; Hi: и %3D 8 рpb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. What is the value of the sample test…

39. What is the mean square regression? (a) 193.7248 (b) none (c) 10,177.1674 (d) 12.1078 (e) 840.5463

A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x=2.07 years with sample staved deviation s=0.88 years. However, it is thought that the overall population mean age of coyotes is u=1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a=0.01

Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of u = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9 ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the Decision (step 5) for this problem? There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 7.3 ppb. O There is sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. O There is…