Yes, since the sample size is at least 50, the underlying population does not need to be normally distributed.
No, there are no constraints in order to perform a hypothesis test.
Yes, the population must be normally distributed in all cases in order to perform a hypothesis test.
No, since the sample size is at least 30, the underlying population does not need to be normally distributed.

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Question 104

4. A local theater chain with multiple theaters is tracking the daily ticket sales of all theaters. Suppose that X is the daily sale of one theater and it is normally distributed with X~ N(μ, o²) and that each theater is far away from each other so that the sales of each theater X, are i.i.d. (15 points) a. Suppose μ = 200, o² = 400, what's the probability that one theater X, will be within 25 tickets of the mean? b. Let X be the mean daily ticket sales among n theaters and suppose o2 = 400. How many theaters would the owner of the theater chain have to have in order for the probability to be at least 0.9 that X is within 15 ticket sales of μ? c. Suppose the owner of the theater chain has 10 theaters with μ = 200, o² = 400, and for each ticket sale, it can generate a profit of

5. Wha t^{'} s t h e p ro babi l i t y t ha tt h e d ai l y p ro f i t f or t h ee n t i re t h e a t erc hain w i ll e x cee d

10, 050?pls show detailed work so i can learn how to do it on my test

4. A local theater chain with multiple theaters is tracking the daily ticket sales of all theaters. Suppose thatX is the daily sale of one theater and it is normally distributed with X~ N,and that each theater is far away from each other so that the sales of each theater Xare i.i.d.(15points)
a.Suppose =200,=400,what's the probability that one theater Xwill be within 25 tickets of the mean?
b.Let X be the mean daily ticket sales among n theaters and suppose o=400.How many theaters would the owner of the theater chain have to have in order for the probability to be at least 0.9 that X is within 15 ticket sales of ?
c.Suppose the owner of the theater chain has10 theaters with=200,=400,and for each ticket sale, it can generate a profit of $5. Wha t^{'} s t h e p ro babi l i t y t ha tt h e d ai l y p ro f i t f or t h ee n t i re t h e a t erc hain w i ll e x cee d$ 10,050?

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Question 105

Texts: An old medical textbook states that the mean sodium level for healthy adults is 142 mEq per liter of blood. A medical researcher believes that, because of evaluation, the mean sodium level for the sample is 137 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 11 from that given in the textbook. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. If necessary, consult a list of formulas.

State the null hypothesis Ho and the alternative hypothesis H1.
Determine the type of test statistic to use.
Find the value of the test statistic. (Round to three or more decimal places.)
Find the two critical values. (Round to three or more decimal places.)
Can we conclude that the population mean adult sodium level differs from that given in the textbook? Yes or No.

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Question 106

Texts: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following: E(X) = -2 E(Y) = -3 E(Z) = 4 Var(X) = 6 Var(Y) = 4 Var(Z) = 5 Compute the values of the expressions below: E(Z-2) = -4Z-3X- - 4X^5 Var(-3Z-5) = E(-22)

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Question 107

Texts: You can lower the likelihood of making a Type I error by: a) Lowering the alpha level to 0.01 b) Raising the alpha level to 0.10 c) Having two statisticians interpret the SPSS output d) None of these options would help You can lower the likelihood of making a Type I error by:

Lowering the alpha level to 0.01
Raising the alpha level to 0.10
Having two statisticians interpret the SPSS output
None of these options would help

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Question 108

Consider the gambler's ruin chain with state space S = {0,..., N} for some positive integer N and transition probabilities: p0,O=p(N,N)=1,p(x,x+1)=1-p(x,x-1) for 1 < x < N - 1. 4 Find the formula for the probability h(x) = Px(state 0 is reached before state N)

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Question 109

Texts: The probability that a randomly selected adult in this region is a woman who suffers from holiday depression. Interpret your answer in terms of percentages. Select the correct choice below and fill in the answer boxes to complete your choice (Type integers or decimals. Do not round).

The probability is _____. This means that _____% of all adults who suffer from holiday depression are women.
The probability is _____. This means that _____% of all adults in this region are women who suffer from holiday depression.
The probability is _____. This means that _____% of women in this region suffer from holiday depression.
This means that _____% of all women suffer from holiday depression.

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Question 110

Here is a sample of amounts of weight change (kg) of college students in their freshman year: 12, 4, 3, -8, where -8 represents a loss of 8 kg and positive values represent weight gained. Here are ten bootstrap samples: {12, 12, 12, 3}, {12, 8, 3, 12}, {12, -8, 4, 3}, {4, -8, 3, 12}, {3, 3, 3, 4}, {4, -8, 4, -8}, {12, 4, 8, 3}, {-8, 4, 8, 4}, {-8, 3, -8, 4}, {4, 12, 12, 12}. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. kg

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Question 111

Texts: Question 1: The percentage of foreign-born population for each of the 50 states is represented below. Percentage Frequency 0.8-4.4 26 4.5-8.1 11 8.2-11.8 4 11.9-15.5 5 15.6-19.2 2 19.3-22.9 23 23.0-26.6 Find the following:

4.5-8.1
Mean
Variance
Standard Deviation
Coefficient of Variation
Median

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Question 112

Texts: Please solve it both in R Studio and mathematically. Note on this question: The demonstration of the answers must be given on paper. The average weight of the boxes is indeed 359 g, but it has some variability, as the standard deviation of the box weight is 6.8 g. The distribution of the data is close to a normal distribution.

What is the probability that a randomly chosen box has less weight than advertised? A box with candies is advertised as having a net weight of 350 g. An automated machine fills the boxes, and it is set to put 359 g of candies in each box, on average. Historic data shows that the machine is precise, as the standard deviation of the box weight is 6.8 g.
What is the probability that a randomly chosen box has more than 370 g?
What is the probability that, in 4 randomly chosen boxes, at least one has less weight than advertised?
What percentage of boxes will be within a 2% range from the advertised weight (from 343 g to 557 g)?
The company wants to reduce the probability of a box having less weight than advertised to about 0.5%. To what weight should the filling machine be set instead of 359 g?

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Question 113

Which is a necessary assumption of ANOVA? Multiple Choice nonnormality of the treatment populations different treatment variances independent sample observations unequal population sizes for groups

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Question 114

STANDARD SCORES 1. The following scores were found for the midterm exam. Find the percentile rank for each of the scores. Interpret what it means to have a score of 83 in terms of its percentile ranking. X 95 92 87 83 80 75 70 65 60 55 f 1 1 2 2 3 2 1 1 1 1 2. Find the Z scores for the raw scores of 87 and 70 in the distribution of midterm scores. Find the T-score for a raw score of 87 and 70 in the distribution of midterm scores. 4. What scores fell at one standard deviation above the mean and one standard deviation below the mean of the midterm scores?