Statistic assignments
Mathematics

Tutor: None Selected  Time limit: 1 Day 
Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.)
X  P(X) 
4  .1 
8  .30 
12  .25 
16  .35 
Mean=
Variance=
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A random sample of 23 items is selected from a population. To determine the appropriate critical tvalue what number of degrees of freedom should be used?
24  
22  
31  
26 
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22
(231)
An experiment involves selecting a random sample of 276 middle managers study. One item of interest is their mean annual income. The sample mean is computed to be $35,420 and the sample standard deviation is $2,228. What is the standard error of the mean?
$2,228  
$16.613  
$134.110  
$2,228 
Standard error =2228/sqrt(276) = 134.1098 = 134.11
Third option
According to the Census Bureau, 3.40 people reside in the typical American household. A sample of 21 households in Arizona retirement communities showed the mean number of residents per household was 2.70 residents. The standard deviation of this sample was 1.17 residents. At the .10 significance level, is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.40 persons?
a.  State the null hypothesis and the alternate hypothesis. (Round your answer to 2 decimal places.) 
H_{0}: μ ≥ 
H_{1}: μ < 
b.  State the decision rule for .10 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) 
RejectH_{0} if t< 
c.  Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) 
Value of the test statistic 
d.  Is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.40 persons? 
H_{0}. Mean number of residents less than 3.40 persons. 
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 22 eggs per month with a standard deviation of 2.7 eggs per month.
(a1)  What is the value of the population mean? 
(a2)  What is the best estimate of this value? 
(c)  For a 90 percent confidence interval, the value of t is . (Round your answer to 3 decimal places.) 
(d)  The 90 percent confidence interval for the population mean is to (Round your answers to 3 decimal places.) 
(e1)  Would it be reasonable to conclude that the population mean is 24 eggs? 
(e2)  What about 27 eggs? 
A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
H_{0} : μ ≤ 20 
H_{1} : μ > 20 
a.  Is this a one or twotailed test?  

b.  What is the decision rule? (Round your answer to 2 decimal places.) 
H_{0},when z > 
c.  What is the value of the test statistic? (Round your answer to 2 decimal places.) 
Value of the test statistic 
d.  What is your decision regarding H_{0}?  

There is evidence to conclude that the population mean is greater than 20. 
e.  What is the pvalue? (Round your answer to 4 decimal places.) 
pvalue 
Please answer the last three qustions that I sent I will pay 20 if it's correct
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At least one of them please
H_{0} : μ ≤ 20 
H_{1} : μ > 20 
For a)
One tailed
b) decision rule
If t > 1.645 then reject the null hypothesis
Otherwise do not reject
c) z =(2120)* 6/5 = 1.2
d) since z < 1.645 we do not reject
e) p value = P(z>1.2) = 0.1507
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