Question 6 (1 point) NASA compares the ages of stars in two distinct clusters. A sample from the first cluster has an average age of 3.86 billion years with a standard deviation of 2.676 billion years. A sample from the second cluster has an average age of 3.365 billion years with a standard deviation of 2.043 billion years. NASA samples 166 stars from the first cluster, and 109 stars from the second cluster. Given that the 95% CI from a point estimate of the sample mean of cluster 1 minus the sample mena of cluster two is (-0.064, 1.054), we may conclude that the population mean of cluster 1 is .. the population mean of cluster 2. greater than Can't determine. not significantly different to Question 7 (1 point) NASA compares the ages of stars in two distinct clusters. A sample from the first cluster has an average age of 4.064 billion years with a standard deviation of 2.334 billion years. A sample from the second cluster has an average age of 3.415 billion years with a standard deviation of 2.641 billion years. NASA samples 157 stars from the first cluster, and 117 stars from the second cluster. Given that the 95% Cl from a point estimate of the sample mean of cluster 1 minus the sample mena of cluster two s (0.047, 1.251), we may conclude that the population mean of cluster 1 is .. the population mean of cluster 2. greater than not significantly different to Can't determine.Question 1 (1 point) NASA compares the ages of stars in two distinct clusters. A sample from the first cluster has an average age of 4.27 billion years with a standard deviation of 2.515 billion years. A sample from the second cluster has an average age of 2.974 billion years with a standard deviation of 0.736 billion years. NASA samples 142 stars from the first cluster, and 146 stars from the second cluster. Given that the calculated 95% CI is (0.865, 1.727), what is the correct interpretation of this confidence nterval? We are 95%% confident that the difference in sample means is between 0.865 and 1.727 We are 95%% certain that the di tween 0.865 and 1.727 We are 95%% confident that the difference in populations means is between 0.865 and 1.727 There is a 95%% chance that the difference in population means is between 0.865 and 1.727 Question 2 (1 point) NASA compares the ages of stars in two distinct clusters. A sample from the first cluster has an average age of 4.167 billion years with a standard deviation of 0.741 billion years. A sample from the second cluster has nd cluster has an average age of 5.704 billion years with a standard deviation of 0.957 billion years. NASA samples 120 stars from the first cluster, and 199 stars from the second cluster. Given that the calculated 75%% CI is (-1.725, -1.349). what is the correct interpretation of this confidence interval? There is a 95%% chance that the difference in population means is between -1.725 and -1.349 We are 95%% certain that the differ ans is between -1.725 and -1.349 The difference in population means is -1.349 . -1.725 = 0.376 We are 95%% confident that the difference in populations means is between -1.725 and -1.349 Question 3 (1 point) NASA compares the ages of stars in two distinct clusters. A sample from the first cluster has an average age of 6.863 billion years with a standard deviation of 0.598 billion years. A sample from the second cluster has an average age of 3.945 billion years with a standard deviation of 2.155 billion years. NASA samples 176 stars from the first cluster, and 194 stars from the second cluster. Given that the calculated 95% Cl is (2.602, 3.234), what is the correct interpretation of this confidence interval? There is a 95%% chance is between 2.602 and 3.234 We are 95% confident that the d in populations means is between 2.602 and 3.234 The difference in population means is 3.234 - 2.602 = 0.632 We are 95%% certain that the difference in population means is between 2.602 and 3.234 Question 4 (1 point) NASA compares the ages of stars in two distinct clusters. A sample from the first cluster has an average age of 3.046 billion years with a standard deviation of 0.554 years, A sample from the ser er has an average age of 1.936 billion years with a standard deviation of 2.006 billion years. NASA samples 193 stars from the first cluster, and 174 stars from the second cluster. Given that the calculated 95%% Cl is (0.802, 1.418), what is the correct interpretation of this confidence interval?" We are 95%% certain that the difference in sample means is between 0.802 and 1.418 The difference in population means is 1.418 - 0.802 = 0.616 and 1.418 There is a 95% chance that the difference in population means is between 0.802 We are 95%% confident that the difference in populations means is between 0.802 and 1.418 Question 5 (1 point) NASA compares the ages of stars in two distinct clusters. A sample from the first cluster has an average age of 4.268 billion years with a standard deviation of 1.11 billion years. A sample from the second cluster has an average age of 2.903 billion years with a standard deviation of 0.776 billion years. NASA samples 117 stars from the first cluster, and 190 stars from the second cluster. Given that the 95% CI from a point estimate of the sample mean of cluster 1 minus the sample mena of cluster two is (1.134, 1.596), we may conclude that the population mean of cluster 1 is . the population mean of cluster 2. O not significantly different to O Can't determine. greater than