Two random samples were drawn from two normal populations and their values are : A : 66 67 75 76 82 84 88 90 92 B:. 64 66 74 78 82 85 87 92 93 95 97 Test whether the two populations have the same variance at the 5% level of significance. (F= 3-36) at 5% level for vi = 10 and v2 = 8.
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![Two random samples were drawn from two normal populations and their
values are :
А:
66
67
75
76
82
84
88
90
92
B:
64
66
74
78
82
85
87
92
93
95
97
Test whether the two populations have the same variance at the 5% level of significance.
(F= 3-36) at 5% level for vi = 10 and v2 = 8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e577484-5e37-48ce-a25c-ed3838b30c51%2F29e6ce13-4d2d-44b2-9a39-51d7c849701d%2F7wrq2o9_processed.jpeg&w=3840&q=75)
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- A study was undertaken to compare the average high-density lipoprotein (HDL) levels of normal and obese adults in a certain community. HDL levels of a random sample of adults from this community were measured (in milligrams per deciliter or mg/dL) and presented below. Assume that the HDL levels of both the normal and obese adults follow the normal distribution with unknown but equal population variances. Is there a significant difference between the average HDL levels of normal and obese adults? Use a 5% level of significance.Consider the butterfat production (in pounds) for a cow during a 305-day milk production period following the birth of a calf. A sample of 12 cows on a farm in Wisconsin has a mean of 712.25 and a variance of 29957.84. A sample of 16 cows on a farm in Michigan has a mean of 705.44 and a variance of 20082.13. Assume the distribution of butterfat production is normally distributed for both farms. Find a 95% confidence interval for the difference in average butterfat production, Wiscon sin Michigan - O-126.143 μWiscon sin 30.154 Wiscon sin O-130.617 - - < μWiscon sin -120.958 < Wiscon sin - Michigan 163.788 - Michigan < 139.763 - Michigan < 122.841 Michigan < 134.578A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes Gotham: XG= 35 months, SG = 900 Metropolis: XM = 50 months, SM? = 1050 Which of the following represents the relevant hypotheses tested by the real estate company? O a. Ho: HG - HMSOVS H1: HG - HM>0 O b.Ho:XG -XM20 vs Hz: X6 -Xm<0 O c. Ho: HG - HM 20vs H1: HG - HM<0 O d. Ho: HG - HM =0 vs H1: HG - HM#0 O e. None of the above
- Highway engineers in Ohio are painting white stripes on a highway. The stripes are supposed to be approximately 10 feet long. However, because of the machine, the operator, and the motion of the vehicle carrying the equipment, considerable variation occurs among the stripe lengths. Engineers claim that the variance of stripes should be less than 16 inches squared. At α = .05, use the sample lengths given here from 12 measured stripes (in feet and inches) to test the variance claim. Assume stripe length is normally distributed. (in feet) (in inches) 9.85 118.2 9.7 116.4 9.9 118.8 9.5 114 9.15 109.8 10.1 121.2 10 120 9.8 117.6 9.9 118.8 10.3 123.6 10.1 121.2 10.2 122.4 The appropriate test for this question is: a Z-test for the true variance of stripe length. a t-test for the true mean of stripe length. a Chi-square test…Given that age of ECU students is normally distributed. A random sample of 16 students had an average age of 25 years and a variance of 4 square years. The 98% CI for the true average age of all ECU students is?A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ² = 42.3. In a different section of Chaco Canyon, a random sample of 25 transects gave a sample variance s² = 49.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: 0² = 42.3; H₁:0² 42.3; H₁: 0² = 42.3 O Ho: 0² = 42.3; H₁: 0² > 42.3 O Ho: 0² = 42.3; H₁: 0² #42.3 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a uniform population…
- A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ²2 = 42.3. In a different section of Chaco Canyon, a random sample of 25 transects gave a sample variance s² = 44.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. (a) What is the level of significance? State the null and alternate hypotheses. 42.3; H₁:0² > 42.3 O Ho: 0² Ho: o² = 42.3; H₁:0² 42.3; H₁: 0² = 42.3 0² 42.3; H₁: 0² # 42.3 O Ho: = = (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a exponential population…A two-way ANOVA experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. Assume normality in the underlying populations. The results include the following sum of squares terms: SST=1542 SSA= 1042 SSB = 358 SSAB = 39 a. Construct an ANOVA table. (Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation Rows Columns Interaction Error Total SS 0 df Answer is not complete. 0 MS F p- value 0.000 0.000 0.002A study was conducted using 39 undergraduates at a large private university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the maximum daily amount of alcohol consumed in the last month. Based on the data in the following table, is there a difference between males and females in the maximum amount of alcohol consumed in any one day in the past month? Use α = 0.05 and assume that the population variances are equal. Group Mean () Standard Deviation (s) Size of Sample (n) Males 8.2 5.9 17 Females 5.6 5.7 22 During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with inches. Is the director justified that male students who showed average…
- A study was conducted using 39 undergraduates at a large private university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the maximum daily amount of alcohol consumed in the last month. Based on the data in the following table, is there a difference between males and females in the maximum amount of alcohol consumed in any one day in the past month? Use α = 0.05 and assume that the population variances are equal. Group Mean () Standard Deviation (s) Size of Sample (n) Males 8.2 5.9 17 Females 5.6 5.7 22A transect is an archaeological study area that is mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance o- 39.5. In a different section of Chaco Canyon, a random sample of 23 transects gave a sample variance s-57.5 %3D for the number of sites per transect. Use an a - 0.01 to test the claim that the variance in the new section is greater than 39.5. Find the value of the chi-square statistic for the sample. O 32.03 46.62 O 50.86 O 33.48 O 48,74A data set from a study that examined the effect of a specific diet on blood pressure is below. Participants (n = 72) were randomly assigned either to a group that was put on the diet (Diet = Present) or to a group that was not put on the diet (Diet = Absent), and researchers wanted to know whether the diet had a significant impact on blood pressure. Evaluate the homogeneity of variance assumption for the test and report the results (i.e., is the assumption reasonable for this analysis/data set?). Biofeedback Drug Diet BldPres Present X Absent 170 Present X Absent 175 Present X Absent 165 Present X Absent 180 Present X Absent 160 Present X Absent 158 Present X Present 161 Present X Present 173 Present X Present 157 Present X Present 152 Present X Present 181 Present X Present 190 Present Y Absent 186 Present Y Absent 194 Present Y Absent 201 Present Y Absent 215 Present Y Absent 219 Present Y Absent 209 Present Y Present 164 Present Y Present…
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