Derive the mean and variance of an F distribution
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- age, a Bahand will last 6.3 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 15 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.5, 3.9, 3.9, 5.7, 6.5, 5.9, 3.9, 7.4, 4.3, 5.9, 4.5, 4.2, 7, 5.1, 4 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer c. The test statistic ? O (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly different from 6.3 at a = 0.05, so there is…Automobile repairs costs continuous to rise with the average cost now at $367 per repair. Assume that the cost for an automoibles repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs. What is the probability that the cost will be more than $450? What is the probability that the cost will be less than $250? What is the probability that the cost will be between $250 and $450? If the cost for your car repairs is in the lower 5% of automobile repair charges, what is your cost? Use excel pleaseThe incomes of math tutors in a tutoring center of a university are normally distributed with a mean of $1100 and a standard deviation of $150 what percentage of tutors earn less than $900 a month
- On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.4, 7.5, 7.9, 5.7, 5.9, 8.1, 4.8, 8.7, 6.8, 5.9, 8.2, 5.1, 5.1 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Correct The alternative hypothesis would be: H1:H1: Correct Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) Based on this, we should Correct the null hypothesis. Thus, the final conclusion is that ...Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…When Freshman 15 The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their freshman year at college. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 2.6 lb and a standard deviation of 10.8 1b (based on Data Set 13 "Freshman 15"). Find the probability that a randomly selected male college student gains 15 lb or more during his freshman year. What does the result suggest about the claim of the "Freshman 15"?
- On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 12 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.5, 6.6, 5.1, 8.4, 7.1, 5.1, 4.8, 5.1, 8.1, 5.4, 7, 7.8 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ✓ H₁: ? Select an answer ✓ 4 c. The test statistic?v= (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level Before After 82.333 74.944 110.118 199.820 18 0.727 18 0 17 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? Pick Is the two-sample hypothesis test a paired t-test or an unpaired t-test? Pick What is the level of significance? Ex: 0.12 What is the null hypothesis? Ho: Mafter Pick Mbefore What is the alternative hypothesis? Ha : Pafter Pick Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick…(a) Approximate the mean and standard deviation. Round each to two decimals. (b) Complete the last two columns in the table above for relative frequency and cumulative frequency. Round any decimals to 3 places. Do not include the zero before the decimal. For example for 0.56, enter .56 (c) What is the shape of the distribution?
- Durations of clinical research studies awarded by a particular federal agency are assumed to follow a normal distribution, with a mean of 24 months and a standard deviation of 2.5 months.Find the probability that a study is awarded with a duration between 15 and 25 months.The accompanying histogram shows the lengths of hospital stays (in days) for all female patients admitted to a certain hospital during one year with a primary diagnosis of acute myocardial infarction (heart attack). Complete parts (a) through (c) below. a) From the histogram, determine whether the mean or median is larger. Explain. A. Because the distribution is nearly symmetric, the mean is expected to be larger than the median. B. Because the distribution is nearly symmetric, the mean is expected to be about the same as the median. C. Because the distribution is skewed to the high end, the mean is expected to be larger than the median. D. Because the distribution is skewed to the high end, the mean is expected to be smaller than the median. E. Because the distribution is skewed to the low end, the mean is expected to be larger than the median. F. Because the distribution is skewed to the low end, the mean is expected to be…
