An experiment is conducted to determine whether there is a differnce among the mean increases in growth produced by five strains (A, B, C, D and E) of growth hormones for plants. The experimental material consists of 20 cuttings of a shrub (all ofequal weight), with four cuttings randomly assigned to each of the five different strains. The increases in weight for each cutting along with the sample mean and sample standard deviation of each group are given in the table below.ABCDEPlant 1102924 1715Plant 21728251913Plant 314222213 15Plant 41720221211Mean14.524.75 23.25 15.25 13.5Standard Dev. 3.3166 4.4253 1.5000 3.3040 1.9149It is also given that the overall mean 18.25.Compute the following:(a) SSTR=(b) SSE =(c) MSTR =(d) MSE =(e) F=

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…
6.2
Each observation in a random sample of 98 bicycle accidents resulting in death was classified according to the day of the week on which the accident occurred. Data consistent with information are given in the following table. x² Day of Week Frequency = Sunday Monday Tuesday Wednesday Thursday Friday Saturday 13 12 12 14 13 18 Based on these data, is it reasonable to conclude that the proportion of accidents is not the same for all days of the week? Use a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) 16 Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. O Fail to reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. ● Fail to reject Ho. We do not have convincing evidence that the proportion…
a=1 b=8 c=6 d=0
In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen A B 1 13.76 13.74 2 12.48 12.45 3 10.09 10.08 4 8.91 8.98 5 13.57 13.54 6 12.70 12.75 Can you conclude that the mean weight differs between the two balances? Use the α = 0.05 level of significance.
A population has a mean µ = 87 and a standard deviation à = 23. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. ox = (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.) 33
The mass of each 60 peddles collected from a beach was measured. The results, correct to the nearest gram, are summarised in the following table. Mass 10 – 14 15 – 19 20 – 24 25 – 29 30 – 34 35 – 39 Frequency 8 14 17 11 4 (a) Calculate the mean, median and standard deviation.
Consider the sample S = {101.1, 102.0, 103.2, 99.7} which represent mean temperatures in Fahrenheit of four patients over a particular period of time. Calculate the sample mean x ̄ and the sample standard deviation σx of the data set S.
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An experiment is conducted to determine whether there is a differnce among the mean increases in growth produced by five strains (A, B, C, D and E) of growth hormones for plants. The experimental material consists of 20 cuttings of a shrub (all of equal weight), with four cuttings randomly assigned to each of the five different strains. The increases in weight for each cutting along with the sample mean and sample standard deviation of each group are given in the table below. A B C D E Plant 1 19 26 24 17 14 Plant 2 16 18 24 10 12 Plant 3 18 27 24 14 6 Plant 4 15 25 20 17 12 ∑? 68 96 92 58 44 ∑?2 1166 2354 2128 874 520 Compute the following: (a) SST=(b) SSE =(c) MST =(d) MSE =(e) F =

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