Question

In: Statistics and Probability

Children of a certain age in the nation have an average weight of 85 with a...

Children of a certain age in the nation have an average weight of 85 with a standard deviation of 9.5 lb. A complaint is made that children are improperly fed in a boarding school. As evidence, a sample of 14 children of the given age is taken from the boarding school with an average weight of 89.44 lb. What can be concluded with an α of 0.05?

a) What is the appropriate test statistic?
-na

z test

one sample t test

independent sample t test

related samples t test

b)
Population:
weight, boarding shcool, children in the nation, feeding method, or children from boarding school
Sample:
---Select---weight, boarding school, children in the nation, feeding method, or children from the boarding school

c) Obtain/compute the appropriate values to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value = ____; test statistic = __________
Decision: - Reject H0 or Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[ ____,_________ ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d = ____; Select---na,trivial effect,small effect, medium effect,large effect
r2 = ______;  ---Select---na, trivial effect, small effect, medium effect, large effect

f) Make an interpretation based on the results.

a.The weight of children in the boarding school was significantly higher than the weight of children in the nation. The b.weight of children in the boarding school was significantly lower than the weight of children in the nation.     The c.weight of children in the boarding school was not significantly different than the weight of children in the nation.

Solutions

Expert Solution

Dear student, we can provide you with the solution of 4 sub question at a time.

a) option A is right, this is a Z test, since the population standard devaition is given

b) Population is all the children of the boarding school

c)

d)


Related Solutions

Boys of a certain age in the nation have an average weight of 85 with a...
Boys of a certain age in the nation have an average weight of 85 with a variance of 114.49 lb. A complaint is made that boys are overfed in a municipal children's home. As evidence, a sample of 21 boys of the given age is taken from the children's home with an average weight of 92.5 lb. What can be concluded with α = 0.05? a) What is the appropriate test statistic? ---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples...
Girls of a certain age in the nation have a mean weight of 85 with a...
Girls of a certain age in the nation have a mean weight of 85 with a standard deviation of 10.8 lb. A complaint is made that girls are underfed fed in a municipal children's home. As evidence, a sample of 25 girls of the given age is taken from the children's home with a mean weight of 89.41 lb. What can be concluded with α = 0.01? a) What is the appropriate test statistic? (choose one of the following) 1....
Boys of a certain age in the nation have an average weight of 86 with a...
Boys of a certain age in the nation have an average weight of 86 with a standard deviation of 10.5 lb. A complaint is made that boys are overfed fed in a municipal children's home. As evidence, a sample of 19 boys of the given age is taken from the children's home with an average weight of 79.52 lb. What can be concluded with α = 0.05? a) What is the appropriate test statistic? ---Select--- na z-test one-sample t-test independent-samples...
Is it unethical for a marketer to target children below a certain age?
Is it unethical for a marketer to target children below a certain age?
A) A study of elephants wishes to determine the average weight of a certain subspecies of...
A) A study of elephants wishes to determine the average weight of a certain subspecies of elephants. The standard deviation of the population is 500 pounds. How many elephants need to be weighed so that we can be 95% confident to be accurate within 200 pounds? B) TRUE OR FALSE: The confidence level of an interval estimate of a parameter is the probability that the interval estimate is one that will contain the parameter. C) A report states that 42%...
A particular paper described a study of children who were underweight or normal weight at age...
A particular paper described a study of children who were underweight or normal weight at age 2. Children in the sample were classified according to the number of sweet drinks consumed per day and whether or not the child was overweight one year after the study began. Is there evidence of an association between whether or not children are overweight after one year and the number of sweet drinks consumed? Assume that it is reasonable to regard the sample of...
You have estimated the effects of the age of children, women’s age in years, years of...
You have estimated the effects of the age of children, women’s age in years, years of schooling, unemployment rate in the county of residence, and whether the woman lives in metropolitan area on the woman’s probability of being in labor force. In Table 2, column 1 shows the coefficients from the linear probability model, column 2 shows the coefficients from a probit model, and column 3 shows the coefficients from a logit model. Interpret coefficients on variables: # kids <...
Suppose we want to estimate the average weight of children in a particular school district. The...
Suppose we want to estimate the average weight of children in a particular school district. The district contains 15 elementary schools, 10 middle schools, and 2 high schools. For each of the following approaches, select the best description of the sampling design, and identify whether the sampling scheme ensures that the probability of being included is necessarily the same for every student. A. List all the students in the school district. Average the weights of every 50th student on the...
Studies conducted in the 1970s indicated that the average age at which children take their first...
Studies conducted in the 1970s indicated that the average age at which children take their first alcoholic drink is 14.6 years old. Sociologists believe that children are starting to drink at a younger age. A random sample of 169 young adults (18 years of age) is selected and the age at which each adult took their first alcoholic drink is recorded. The sample mean age was 13.3 years of age with a standard deviation of 5 years. For the problems...
The weights of 2-year old children follow a normal distribution with an average weight of 26...
The weights of 2-year old children follow a normal distribution with an average weight of 26 lbs and a standard deviation of 1.5 lbs. You select a random sample of 100 2-year old children. What is the shape of the sampling distribution for the average of 100 2-year olds? What is the mean of the sampling distribution for the average of 100 2-year olds? What is the standard deviation of the sampling distribution for the average of 100 2-year olds?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT