A sample of 100 dry battery cells tested to find the length of life produced the tollowing results : X= 12 hours, o = 3 hours Assuming the data to be normally distributed, what percentage of battery cells are expected to have life : () More than 15 hours, (i) Less than 6 hours, and (ii) between 10 and 14 hours ? (Given z: 2.5 0.67 Area 0.4938 0.4772 D0.3413 0.2487
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- Q1 A) List down the measures of central tendency and measures of dispersion 2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of B) which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. C) The file contins the overall miles per gallon (MPG) OF 2010 family sedan: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source:…A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (a) Write the claim mathematically and identify H0 and Ha. A. H0: σ2≤1.33 (Claim) Ha: σ2>1.33 B. H0: σ2≠1.33 Ha: σ2=1.33 (Claim) C. H0: σ2≥1.33 Ha: σ2<1.33 (Claim) D. H0: σ2=1.33 (Claim) Ha: σ2≠1.33 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. A. The…The weights of radish seeds are normally distributed, with µ = 0.12 g and σ = 0.02 g. What is the z-score of a radish seed that weighs 0.093 g? If the contents of a seed packet weighs 30.0 g, approximately how many seeds are in it? Approximately how many seeds in the packet weigh between 0.08 g and 0.16 g.?
- A horticulture student is interested on the antifungal properties of three plant species. Leaf extracts from each species were mixed with agar based growth medium and poured into 5 Petri dishes. The Petri dishes were streaked with fungi isolates and the area in sq mm of fungal growth was measured after seven days. Assuming the areas of growth are not normally distributed, which is the most appropriate analysis for the experiment to find difference? A. Kruskal Wallis B. Friedman C. t-test D. sign testA researcher conducted a t-test for independent samples to evaluate the mean difference between two treatment conditions and obtained t(48) = 4.00. What would be the computed F, if the outcomes of this study were evaluated by one-actor ANOVA for independent samples?The grades on a statistics mid-term for a high school are normally distributed, with μ = 81 and σ = 6.3. Calculate the z-scores in 2 decimal places for each of the following exam grades: 65 z - score = Blank 1 83 z - score = Blank 2 93 z - score = Blank 3 100 z - score = Blank 4
- Records for the last 15 years have shown that the average rainfall in a certain region of the country, for the month of March, to be 1.20 inches, with s = 0.45 inches. A second region had an average rainfall of 1.35 inches, with s = 0.54. estimate the difference of the true average rainfalls in those two regions as a 95% C.I. with the assumption of normal populations and unequal variances.Are the following results significant at α=.01? F(2,27) =10.56, p=.02 Yes No 2. A large F-ratio (or a significant result) is the result of: a small amount variability within the groups and a large amount of variability between the groups a large amount variability within the groups and a small amount of variability between the groups a large amount variability within the groups and a large amount of variability between the groups a small amount variability within the groups and a small amount of variability between the groupsA survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.
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