Nine random weights were taken from a certain population. 200, 210, 208, 195, 215, 187, 213, 216, 210 https://www.desmos.com/calculator/bqd1 awxejb A) What is a point estimate for the mean weight of the population? 206 B) What is the median of the 9 weights in sample? 210 C) Does the data suggest the weights might be left-skewed or right-skewed? left - skewed *+ D) What is the lower limit of the 95% Confidence Interval rounded to the nearest whole number? 198 E) What is the upper limit of the 95% Confidence Interval rounded to the nearest whole number? 214 F) Does the 95% confidence interval support the claim that the Mean weight of population is more than 200 pounds? "yes" or "no" no G) Does the 85% confidence interval support the claim that the Mean weight of population is more than 200 pounds? "yes" or "no" yes H) Would the margin of error of a 99% confidence interval be greater than the margin of error for a 95% confidence interval? "yes" or "no" yes\fDifferent types of bees are very similar in appearance. Statistical analysis of certain measurements, like wing width, can be used to distinguish one kind of bee from another. The wing width for a specific type of honeybee is approximately normally distributed with a mean of 2.82 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing widths are given below. Wing Width Measurements (mm) 2.88 2.83 2.91 2.83 2.94 2.87 2.80 2.80 2.83 2.88 A Hypothesis test is to be conducted to determine whether or not bees from the hive is the same as the specific type of honeybee having a mean wing width of 2.82 mm. A) What would be the null hypothesis? 2.82 B) What would be the alternative hypothesis? 2.82A) What would be the null hypothesis? 2.82 B) What would be the alternative hypothesis? 2.82 C) What is the sample mean wing width for bees the bees in hive? Rounded to 2 decimal places. 2.86 D) If the mean wing width of bees in hive is 2.82 mm, what would be probability of getting the sample mean or a mean 2.82 more extreme then the sample mean. E) At the 0.05 significance level is there enough evidence to conclude the bees in the hive aren't the same species of no bee having mean wing width 2.82 mm? "yes" or "no" F) Would a type I error occur if you concluded the bees from the hive weren't the same species as bees having mean wing width 2.82 when in reality they were the same yes species of bees. "yes" or "no" G) Would lowering the significance level increase the chance of committing a type I error? "yes" or "no" no H) At the 0.01 significance level is there enough evidence to conclude the bees in the hive aren't the same species of no bee having mean wing width 2.82 mm? "yes" or "no"Choose... The Mean wing width of bees in the hive is not 2.82 mm yes 2.85 0.05 0.47 2.86 2.82 less than 0.001 The Mean wing width of bees in the hive is 2.82 mm 0.01 The Mean wing length of bees in the hive is greater than 2.82 mm The Mean wing length of bees in the hive is not 2.86 mm 2.83 4.71 The Mean wing length of bees in the hive is 2.86 mm no The Mean wing length of bees in the hive is less than 2.86 mm A math department gives all college algebra students a final exam to test rather or not students taking college algebra on site perform better on Final than students that take class completely online. The Math department gathers random samples of 40 on-site students (Students who take class in the classroom) and 35 online students. The final exam score for each student in the random sample is determined. The mean score for the on-site students is 75, with a standard deviation of 12. The mean score for the online students is 72, with a standard deviation of 15. Suppose a hypothesis test is conducted at the 5% significance level to determine if the mean score for all on-site students is higher than the mean score for all online students. Based on the p-value, which of the following would be the best conclusion. Select one: O a. Since the p value is more than the level of significance, there is enough evidence to conclude that the average for ALL onsite students taking the exam is greater than the average of all online students taking exam. O b. Since the p value is more than the level of significance, there is not enough evidence to conclude that the average for ALL onsite students taking the exam is greater than the average of all online students taking exam. c. Since the p value is less than the level of significance, there is enough evidence to conclude that the averageon-site students IS /5, with a standard deviation of 12. I he mean score for the online students is 72, with a standard deviation of 15. Suppose a hypothesis test is conducted at the 5% significance level to determine if the mean score for all on-site students is higher than the mean score for all online students. Based on the p-value, which of the following would be the best conclusion. Select one: O a. Since the p value is more than the level of significance, there is enough evidence to conclude that the average for ALL onsite students taking the exam is greater than the average of all online students taking exam. O b. Since the p value is more than the level of significance, there is not enough evidence to conclude that the average for ALL onsite students taking the exam is greater than the average of all online students taking exam. O c. Since the p value is less than the level of significance, there is enough evidence to conclude that the average for ALL onsite students taking the exam is greater than the average of all online students taking exam. O d. Since the p value is more than the level of significance, there is enough evidence to conclude that the average for ALL onsite students taking the exam is equal to the average of all online students taking exam. O e. Since the p value is less than the level of significance, there is not enough evidence to conclude that the average for ALL onsite students taking the exam is greater than the average of all online students taking exam. Clear my choiceOne way to measure a person's tness is to measure their body fat percentage. Average body fat percentages vary by age, but according to some guidelines, the normal range for men is 15-20% body fat, and the normal range for women is 20-25% body fat. The body fat of 25 gym goers was measured by a trainer and the Mean and standard deviation for each group is summarized in table below. Group Sample Size (n) Average (X-bar) Standard deviation (5) Women 10 22.29 5.32 Men 15 14.95 6.84 https://www.webassign.net/csalt/index.htm|#ltoolset/inferential-statistics Use the data in the table to conduct a hypothesis test to test whether or not the mean body fat percentage of women who exercise regularly is greater than 3 percentage points more than men who also exercise regularly. ) What should the Null hypothesis say about the mean body fat percentage of Wm... AA It is exactly 3% more .. Use the data in the table to conduct a hypothesis test to test whether or not the mean body fat percentage of women who exercise regularly is greater than 3 percentage points more than men who also exercise regularly. A) What should the Null hypothesis say about the mean body fat percentage of women compared to the mean body fat percentage of males? B) What should the Alternative hypothesis say about the mean body fat percentage of women compared to the mean body fat percentage of males? C) Is the pvalue for your test less than 0.05? "yes" or "no" D) At the 0.05 significance level, is there enough evidence to conclude that the mean body fat percentage for women is more than 3% greater than men? "yes" or llnoll E) At the 0.01 significance level, is there enough evidence to conclude that the mean body fat percentage for women is more than 3% greater than men? "yes" or llnoll F) Does the 95% confidence interval support the alternative hypothesis? "yes" or llnoll G) Why or Why not does the 95% confidence interval support the alternative hypothesis? It is exactly 3% more c: All percentages in interval are greater than 3'75: yes yes yes $9 yes $9 It is greater than 3% more e: Choose... no yes Interval contains percentages less than 3%. ~/ It is greater than 3% more All percentages in interval are greater than 3% It is exactly 3% more It is less than 3% more. It is not 3% more. A manufacturer of LCD projector light bulbs is testing a new light bulb manufacturing process. They want to improve the longevity of these light bulbs they produce. However, due to the high cost associated with switching over to the new manufacturing process, they can only do so if there is clear evidence that the new production method is superior tc their current production method, in terms of longer lasting LCD light bulbs. To test this, they randomly pick a sample of 85 bulbs produced using the current method, this sample yields a mean of 2850 working hours with a standard deviation of 450 hours. They also randomly choose a sample of 121 bulbs produced with the new process. This second sample yields a mean of 3100 working hours and a standard deviation of 400 hours. Suppose a condence interval is to be constructed for the mean difference (new process - old process) in the two processes. Do not assume equal variances. https://www.webassign.net/csalt/index.html#/toolset/inferential-statistics Suppose a condence interval is to be constructed for the mean difference (new process - old process) in the two processes. Do not assume equal variances. https://www.webassign.net/csalt/index.html#ltoolset/inferential-statistics A) What would be the lower limit of the 95% confidence interval? Rounded to the nearest whole number? " Ch39m 400 390 no, positive and negative values in interval C) Does the 95% confidence interval provide clear evidence 110 that the average working hours of a light bulb using new yes, values in interval are all positive. process is greater than when using the old process? Why? 130 B) What would be the upper limit of the 95% confidence interval? Rounded to the nearest whole number? D) An engineer claims that the new process produces bulbs 390 that on average last at least 500 hours longer compared to 370 the current process? Is this a valid claim based on 95% no, values in interval are all less than 500 confidence interval? no, all values in interval are negative yes, standard deviation indicates greater difference in processes 1'lO 400