At a 0.05, test to see if the population variances from which the following samples were drawn are equal. The test statistic is Group 1 ni = 21 Group 2 n2 = 19 S1 = 20 S2 = 18 (A) 1.56 (B) 1.23 (C) 1.26 (D) 1.11
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- Please answer the question contained in the following pictureA producer of chocolate candy bars has developed an improved recipe for one of their most popular brands. They are conducting taste tests using randomly selected mall shoppers. One hundred shoppers were given the original recipe bar to taste and to rate it on a scale of 1 to 10. Another hundred shoppers were given the new recipe candy bar to taste and to rate it on a scale of 1 to 10. The results are in the table below for statistical analysis of variability between the two samples. All of these analyses are run wtih a 95% level of confidence. RATING, 1 to 10 Original Recipe New Recipe Sample Mean 7.8 8.1 Sample Standard Deviation 1.2 1.6 Use this information to answer the following questions. (a) Find the difference between these sample means. (b) Find the variance of the original recipe sample. (c) Find the variance of the new recipe sample. (d) Which test should be run to determine if there is evidence of a difference in consumer preferences between the two recipes?…A wildlife biologist is interested in comparing the mean number of miles flown per day by two types of birds when migrating over the ocean. Two independent samples of miles flown per day are collected with the following sample statistics. x1 =131.8, X2 =129.5, s1 =10.3, s2 =11.5 The sample size for the first sample is n₁ =31 and the second sample has sample size n₂ =36. Compute the test statistic for the following null and alternative hypotheses. Use two decimal place accuracy. Ho : μ1 = μ2 HA : μι < μ2
- What conditions are necessary in order to use the dependent samples t-test for the mean of the difference of two populations?The data in the following Table 3 represent the number of hours of relief provided by five different brands of headache tablets administered to 15 subjects experiencing fevers of 38°C or more. Perform the analysis of variance and test the hypothesis at the 0.05 level of significance that the mean number of hours of relief provided by the tablets is the same for all five brands. Discuss the results. Table 3: Hours of relief by different brands of headache tablets Tablet Relief duration (in hour) Brand A B C D E 5.2 9.1 3.2 2.4 7.1 4.7 7.1 5.8 3.4 6.6 8.1 8.2 2.2 4.1 9.3You are conducting a study to see if the proportion of voters who prefer candidates a is significantly different from 0.6. Thus you are performing a two-tailed test. Your sample data produce the test statistics z=-1.65. Find the p-value accurate to 4 decimal places
- Say we were testing the effects of taking calcium on bone density levels and obtained a positive and significant value for our independent t test result. What would you write (using APA format) when performing a percentage of variance explained test on the data and received a value of r2=.38.The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 =0.404 F19,16,0.025 = 0.386| F16,10,0.025 =0.335 F16,10,0.05 =0.401| F15,12,0.1 = 0.496 | F19,16,0.05 =0.451 F10,16,0.025 =0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 = 0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, 0.238 ] O c. [ 2.160 , 0.309 ] O d. [2.063 , 0.318]The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 = 0.404 F 19,16,0.025 = 0.386 F16,10,0.025 =0.335| F16,10,0.05 =0.401 F15,12,0.1 =0.496 F19,16,0.05 =0.451 F10,16,0.025 = 0.286 F 12,15,0.05 =0.382 F16,19,0.025 = 0.371| F10,16,0.05 = 0.354 F12,15,0.1 =0.475 F16,19,0.05 = 0.437| Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, O0.238 ] O c. [ 2.160 , 0.309] O d. [2.063 , 0.318]
- we look at a random sample of 1000 united flights in the month of December comparing the actual arrival time to the scheduled arrive time. computer output of the descriptive statistics for the difference in actual and expected arrival time of these 1000 flights are shown below : N=1000 Mean =4.06 St Dev. = 45.4 SE Mean =1.44 Min= -35 Q1 = -14 Median = -5 Q3 =9 Max =871 what is the sample mean difference in actual and expected arrival times? what is the standard deviation of the difference ? x bar = and s= ?In a sample of n=20 what would be the student's t test statistic for a correlation of r=0.400?A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of the study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 24 minutes 19 minutes 51 = 3.5 minutes 52 - 4.3 minutes ni = 30 n2 - 30 Which of the following is the correct value of the test statistic assuming that the unknown population variances are equal? Multiple Cholce Z = -4.94 tss = 4.94 Z = 4.94 t59 = -4.94