14. Find the best average value of the set of observations using variance. Trial Length (m) 1 5.31 2 5.30 3 5.36 4 5.35 5 5.33
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- Incorrect An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.6 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 120 engines and the mean pressure was 6.8 pounds/square inch. Assume the variance is known to be 1.00. A level of significance of 0.05 will be used. Determine the decision rule. Enter the decision rule. Answer E Tables E Keypad How to enter your answer Keyboard Shortcuts Reject Ho if z> Tutor Skip Try Similar Submit Ansgr O 2020 Hawkes Learning MacBook Air 888 esc F1 #3 %23 & + 1 5 8 delete Q W R T Y U tab A S D G H K return caps lock C V B N M shift shift control option command command optionAssume 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…The difference between the largest and the smallest data values is the O variance O interquartile range O range O coefficient of variation
- Do rats take less time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…Plzz explain a and bWhen using analysis of variance , the calculated F statistic will decrease as A) the variability among the groups decreases relative to the variability within the groups.B) the total variability increases.C) the total variability decreases.D) the variability among the groups increases relative to the variability within the groups.
- Do rats take the same amount of time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 31, 26, 35, 34, 31, 39, 39, 6 Hamsters: 36, 35, 16, 29, 20, 25, 28, 37 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this studv, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer V (please enter a decimal) H1: Select an answer v Select an answer v v (Please enter a decimal) Select an answer b. The test statistic ?v= (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is…Question 1 A paper company has about 50 paper mills distributed over 3 provinces. The 50 papermills have a total of 600 machines. Lately it was found that some of the paper the company produces has a thickness above the specification of 2mm. From historical data it was found that the mean paper thickness 1.3mm the variance of 2. Answer the following questions.3. Complete the first 3 columns of the table below. Values Deviations Square deviations X X - X (X-X)² Standard (z) scores X-X Z = a. Compute the sample variance and sample standard deviation by definition. b. Fill in the last column of the table c. Compute the coefficient of variation.
- Q7. How do you determine the shape of a distribution? For the given sample data, compute the quartiles (Q1, Q2 and Q3) and interquartile range. Draw a box plot with the help of these parameters. 11 12 13 16 16 17 18 21 21Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 33 18 10 27 57 4 22 18 2 29 26 13 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom? (numerator) (denominator) Make a summary table for your ANOVA test. Source ofVariation Sum ofSquares Degrees ofFreedom MS…