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27 . The predicted value for y is: y ^ = 2.3 – 0.1(4.1) = 1.89. The value of 2.32 is more than two standard deviations from the predicted value, so it qualifies as an outlier.
Residual for (4.1, 2.34): 2.32 – 1.89 = 0.43 (0.43>2(0.13))

13.1: one-way anova

28 .

  1. Each sample is drawn from a normally distributed population
  2. All samples are independent and randomly selected.
  3. The populations from which the samples are draw have equal standard deviations.
  4. The factor is a categorical variable.
  5. The response is a numerical variable.

29 . H 0 : μ 1 = μ 2 = μ 3 = μ 4
H a : At least two of the group means μ 1, μ 2, μ 3, μ 4 are not equal.

30 . The independent samples t -test can only compare means from two groups, while one-way ANOVA can compare means of more than two groups.

31 . Each sample appears to have been drawn from a normally distributed populations, the factor is a categorical variable (method), the outcome is a numerical variable (test score), and you were told the samples were independent and randomly selected, so those requirements are met. However, each sample has a different standard deviation, and this suggests that the populations from which they were drawn also have different standard deviations, which is a violation of an assumption for one-way ANOVA. Further statistical testing will be necessary to test the assumption of equal variance before proceeding with the analysis.

32 . One of the assumptions for a one-way ANOVA is that the samples are drawn from normally distributed populations. Since two of your samples have an approximately uniform distribution, this casts doubt on whether this assumption has been met. Further statistical testing will be necessary to determine if you can proceed with the analysis.

13.2: the F Distribution

33 . SS within is the sum of squares within groups, representing the variation in outcome that cannot be attributed to the different feed supplements, but due to individual or chance factors among the calves in each group.

34 . SS between is the sum of squares between groups, representing the variation in outcome that can be attributed to the different feed supplements.

35 . k = the number of groups = 4
n 1 = the number of cases in group 1 = 30
n = the total number of cases = 4(30) = 120

36 . SS total = SS within + SS between so SS between = SS total SS within
621.4 – 374.5 = 246.9

37 . The mean squares in an ANOVA are found by dividing each sum of squares by its respective degrees of freedom ( df ).
For SS total , df = n – 1 = 120 – 1 = 119.
For SS between , df = k – 1 = 4 – 1 = 3.
For SS within , df = 120 – 4 = 116.
MS between = 246.9 3 = 82.3
MS within = 374.5 116 = 3.23

38 . F = M S b e t w e e n M S w i t h i n = 82.3 3.23 = 25.48

39 . It would be larger, because you would be dividing by a smaller number. The value of MS between would not change with a change of sample size, but the value of MS within would be smaller, because you would be dividing by a larger number ( df within would be 136, not 116). Dividing a constant by a smaller number produces a larger result.

13.3: facts about the F Distribution

40 . All but choice c, –3.61. F Statistics are always greater than or equal to 0.

Questions & Answers

describe the methods of calculation of sample
Anuradha Reply
what are the various uses of statistics in education
Buhari Reply
Survey, Public allocation of federal funds, business analysis and consumer data, the lotto, government programs and special services.
probability sampling
Rosy Reply
dicuss probability sampling
given that a sample is normally distributed with M=10 sd=8 determine
disscuss probability sampling
Discuss probability sampling
What is mean
Probability sampling is based on the fact that every member of a population has a known and equal chance of being selected. For example, if you had a population of 100 people, each person would have odds of 1 out of 100 of being chosen. With non-probability sampling, those odds are not equal.
The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.  To calculate it:  • add up all the numbers, • then divide by how many numbers there are. Example: what is the mean of 2, 7 and 9? Add the numbers: 2 + 7 + 9 = 18 Divide by how many numbers, 3 you
get 6
guidelines of designing a table
you can find that information on this website there is a lot of information. It's about interpreting what the concept of information & data you are getting from the graph and understanding how to read the graph and analyze the information. ***understandinggraphics.com/design/data-table-design/
Frequency find questions
Rimsha Reply
What is nominal variable
olusola Reply
Write short notes on, nominal variable, ordinal variable, internal variable, ratio variable.
P( /x-50/ less than or equal to 5 ) where mean =52 and Variance =25
Jay Reply
how I get the mcq
Mukesh Reply
please what is data mining
Josephine Reply
the exploration and analysis of large data to discover meaningful patterns and rules
how do we calculate the median
All Reply
f(x)=cx(1-x)^4 as x range 4rm 0<=x<=1. Can someone pls help me find d constant C. By integration only..
Akeem Reply
uses of statistics in Local Government
Saleema Reply
state road transport corporation
District statistical officer
statistical services
Please is this part of the IMT program
testing of drugs
hii 2
How about population census
Hello every one
sample survey is done by local government in each and every field.
statistics is used in almost every government organisations such as health department, economic department, census, weather forecasting fields
that's true
statistics is one of the tool that represents the falling and rising of any cases in one sheet either that is in population census whether forecast as well as economic growth
statistic is a technique, and statistics is a subject
what is business statistics
PM Reply
Probability tells you the likelihood of an event happening. ... The higher the probability, the more likely it is to happen. Probability is a number or fraction between 0 and 1. A probability of 1 means something will always happen, and a probability of 0 means something will never happen...
La Reply
Saying it's a number between zero and one means it is a fraction so you could remove "or fraction" from you definition.
wouldn't be correct to remove fractions, saying a number is justified as probabilities can also be decimals between 0 and 1.
Saying "a number" will include it being a decimal which are themselves fractions in another form.
I will simply say a probability is a number in the range zero to one, inclusive.
How to delete an entry? This last one was a pocket print.
what is probability
sky-D Reply
chance of occurrence
what is data
Muhd Reply
raw facts and figures
information of any kind

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