In: Math

You have taken a random sample of 286 children in Virginia’s
homeless shelters to establish their needs (using an establish
Needs Scale). The mean is 5.32, the mode is 6, and the median is
6.

A. Provide a complete description of this sample (including shape
and appropriate measures of center and spread).

B. Why did you choose the measure of center detailed above?

C. Regardless of 10b, why is a confidence interval of the mean a
valid estimate of the mean?

D. Calculate and interpret a 95% confidence interval for the
mean.

E. What is the population for this analysis?

Ans A)

The sample size is 286 which is larger than 30 , and hence as per the central limit theorem this data can be considered to follow normal distribution. The mean value is 5.32 and median = 6 , this tells us that since the mean value < median value, the data is left skewed

Ans B)

Since the data is skewed to the left , for skewed data the measure of central tendency is the median value

Ans C)

Despite of the fact that the data is skewed, since the sample size is large, as per the central limit theorem we prefer to use the confidence interval of mean, because the data is considered to follow normal distribution

ANs d)

Since the sample consists of 286 chidren in virginia’ homeless shelters, the population under analysis are all the children who live in Virginia’s homeless shelters

For confidence interval the formula:

x bar - z* Standard error , x bar + z * standard error

thus for its calculation we need the value of standard error as well

x bar = mean of data = 5.32 , and z value for 95% c-level is 1.96

A random sample of n1 = 286 voters
registered in the state of California showed that 140 voted in the
last general election. A random sample of n2 =
221 registered voters in the state of Colorado showed that 126
voted in the most recent general election. Do these data indicate
that the population proportion of voter turnout in Colorado is
higher than that in California? Use a 5% level of significance.
What is the level of significance?
State the...

A random sample of 75 pre-school children was taken. The child
was asked to draw a nickel. The diameter of that nickel was
recorded. Their parent's incomes (in thousands of $) and the
diameter of the nickel they drew are given below.
Income (thousands of $)
Coin size (mm)
25
23
16
24
11
25
30
22
36
19
18
28
27
31
28
24
34
21
27
24
14
25
13
20
37
21
17
18
36
25
12...

A random sample of 366 married couples found that 286 had two or
more personality preferences in common. In another random sample of
552 married couples, it was found that only 38 had no preferences
in common. Let p1 be the population proportion
of all married couples who have two or more personality preferences
in common. Let p2 be the population proportion
of all married couples who have no personality preferences in
common.
(a) Find a 90% confidence interval for...

It is known that 12% of children are nearsighted. A random
sample of 170 children is selected. What is the probability more
than 14% of this sample will be nearsighted?
a.
0.7881
b.
0.2119
c.
0.2266
d.
0.7734

It is known that 12% of children are nearsighted. A random
sample of 170 children is selected. What is the probability more
than 14% of this sample will be nearsighted?
a. 0.7881
b. 0.7734
c. 0.2119
d. 0.2266

In a study of parents who have children with ADHD, a simple
random sample of parents were asked to rate their overall stress
level. A higher score indicates greater stress. The mean rating for
the 50 parents in the study was reported to be 46.8 with a standard
deviation of 10.34. The researchers considered a score greater than
45 to represent extreme stress. Is there evidence that the mean
stress level for the parents in this study is above this...

0
3
1
20
9
5
10
1
10
4
14
2
4
4
5
A random sample of American children was taken to estimate the total number of hours they spend watching cartoons in an average week. The responses above were chosen from a simple random sample of 15 children and the data was normally distributed.
Create a 98% confidence interval for the mean number of hours
American children spend watching cartoons in one week.
1st: Identify point estimate ...

You work for a community service organisation that supports
children in care. You have taken lots of photos of Jimmy who is
seven years old at the local Farmers market. You want to put the
photos on your Facebook page.
a. What are the legal and ethical issues you should consider
before doing this?
b. Why do you need to check your organisations policy on social
media?
c. What act does the social media policy come under?
d. How could...

In a different shelter, a random sample of dogs’ ages was taken
and the sample
mean was χ = 7.4 years. The standard deviation for the sample was
2.53 years. At
α = 0.05 , test the claim that there is a difference between the
ages of dogs at the two
pet shelters.

A random sample of 12 diamonds are taken in a study of the
hardness of the diamond. Measurements made, yielding an average
value of 48.5 with a sample standard deviation of 1.5. Fill in the
blanks for the critical values for a 98% confidence interval for
the variance of the hardness of the diamond.

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- 2003 2004 2005 2006 Cash and Short Term Investments 51.421 58.054 60.651 72.122 Accounts Receivable 12.394...
- Utilize the data below to answer the following question: Ready-to-Drink (RTD) Coffee Market Overall RTD Market...
- An investor buys a 3.8% annual payment bond with 8 years to maturity. The bond is...
- In Shavertown, Pennsylvania, the owner of Wilkes-Barre Bookkeeping LLC was indicted for embezzling over $375,000 of...
- JavaScript is executed all on the client side within the browser. What kind of tasks or...
- Facts Most flights are scheduled during early morning or early evening. Based on their circumstances passengers...
- Eric has faced the lower sales from his laundry business and it business has gone to...

ADVERTISEMENT