Question

In: Math

The file P02_35.xlsx contains data from a survey of 500 randomly selected households. a. Suppose you...

The file P02_35.xlsx contains data from a survey of 500 randomly selected households. a. Suppose you decide to generate a systematic random sample of size 25 from this population of data. How many such samples are there? What is the mean of Debt for each of the first three such samples, using the data in the order given? b. If you wanted to estimate the (supposedly unknown) population mean of Debt from a systematic random sample as in part a, why might it be a good idea to sort first on Debt? If you do so, what is the mean of Debt for each of the first three such samples? Please provide answer in Excel format with steps how to do it. I am not able to upload full table.

Household	Family Size	Location	Ownership	First Income	Second Income	Monthly Payment	Utilities	Debt
1	2	2	1	$58,206	$38,503	$1,585	$252	$5,692
2	6	2	0	$48,273	$29,197	$1,314	$216	$4,267
3	3	4	0	$37,582	$28,164	$383	$207	$2,903
4	1	1	1	$56,610		$1,002	$249	$3,896
5	3	3	0	$37,731	$21,454	$743	$217	$3,011
6	4	1	0	$30,434	$26,007	$991	$208	$3,718
7	1	1	1	$47,969		$849	$243	$5,907
8	1	1	1	$55,487		$752	$242	$2,783
9	3	2	1	$59,947		$1,498	$256	$6,275
10	6	1	0	$36,970	$31,838	$991	$222	$4,845

Expert Solution

How many such samples are there?
Number of observation = 500
Sample size = 25
No of samples = 500/25 = 20

What is the mean of Debt for each of the first three such samples, using the data in the order given?
Systematic random sampling is done is by taking ever nth observation. Say every 5th observation.

This can be done in excel as follows.
Number the observation from 1 to 20 in a cyclic manner as shown below.

Use the filter option and filter only sample 1

Take note of the formula used to calculate the mean

Sample 1 - mean = 3888.12
Sample 2 - mean = 4321.88
Sample 3 - mean = 3684.96

b. If you wanted to estimate the (supposedly unknown) population mean of Debt from a systematic random sample as in part a, why might it be a good idea to sort first on Debt? If you do so, what is the mean of Debt for each of the first three such samples?

step 1 - Sort the data based on Debt as shown

Step 2 - Repeat the process of numbering the sample as done before

Step 3 - Filter the sample and find the mean for the first three samples.

Sample 1 - mean = 4153.84
Sample 2 - mean = 4177.88
Sample 3 - mean = 4199.8

milcah answered 1 year ago

The file HW_05.xlsx contains data from a survey of 105 randomly selected households. a. Interpret the...

The file HW_05.xlsx contains data from a survey of 105 randomly selected households. a. Interpret the ANOVA table for this model. In particular, does this set of independent variables provide at least some power in explaining the variation in the dependent variable? Report the F ratio statistics and p- value for this hypothesis test. b. Interpret coefficients of independent variables in the model. c. Using the regression output, determine which of the independent variables should be excluded from the regression...

The file HW_09.xlsx contains data from a survey of 105 randomly selected households (once you click...

The file HW_09.xlsx contains data from a survey of 105 randomly selected households (once you click cell C1, “Ownership,” you can see what 0 and 1 stand for). a. In an effort to explain the variation in the size of the monthly home mortgage or rent payment, estimate a multiple regression equation that includes all of the potential household independent variables. b. Interpret the ANOVA table for this model. In particular, does this set of independent variables provide at least...

A sample survey of 36 randomly selected households shows that the median household income of the...

A sample survey of 36 randomly selected households shows that the median household income of the eastern NC residents is $51,000, with a standard deviation of $1075. Test the (null) hypothesis that the actual (real) median household income is $52,752 at 0.05% confidence level.

In a recent survey of 4276 randomly selected households showed that 3549 of them had telephones....

In a recent survey of 4276 randomly selected households showed that 3549 of them had telephones. Using these results, construct a 99% confidence interval estimate of the true proportion of households with telephones. Use the PANIC acronym

The file P08_06.xlsx contains data on repetitive task times for each of two workers. John has...

The file P08_06.xlsx contains data on repetitive task times for each of two workers. John has been doing this task for months, whereas Fred has just started. Each time listed is the time (in seconds) to perform a routine task on an assembly line. The times shown are in chronological order. a. Calculate a 95% confidence interval for the standard deviation of times for John. Do the same for Fred. What do these indicate? b. Given that these times are...

A survey of 500 randomly selected adults found that 57% say that they would take a...

A survey of 500 randomly selected adults found that 57% say that they would take a ride in a fully self-driving car. The 95% confidence interval for the true proportion of all adults who would take a ride in a full self-driving car is found to be (0.5266, 0.6134). Can we conclude that the majority of all adults would take a ride in a fully self-driving car? Yes; Since the confidence interval limits are both greater than 50%, we can...

In a recent survey, it was found that 118 out of 500 randomly selected junior high...

In a recent survey, it was found that 118 out of 500 randomly selected junior high school students enjoyed their math class the most. It was also found that 192 out of 1000 randomly selected high school students enjoyed their math class the most. Test the hypothesis that the percentage of junior high school students who enjoy their math class the most is different than the percentage of high school students who enjoy their math class the most. Use the...

Three randomly selected households are surveyed. The numbers of people in the households are 1,3, and...

Three randomly selected households are surveyed. The numbers of people in the households are 1,3, and 8. Assume that samples of size n=2 are randomly selected with replacement from the population of 1,3, and 8. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n=2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target...

The following data were collected from a survey of 10 randomly selected college students: Find the...

The following data were collected from a survey of 10 randomly selected college students: Find the mean, median, mode, variance, standard deviation, the five number summary report of the hours per week of the sample of students’ studied. Show your work. Student ID Facebook # hours of study per week 244701130 Yes 8 302896051 no 5 734077249 yes 11 891072704 yes 5 730265917 yes 9 894866913 no 6 644678646 no 1 369417477 yes 1 388511718 yes 2 554470987 no 1

A survey shows that 81% of households in the United States own a computer. You randomly...

A survey shows that 81% of households in the United States own a computer. You randomly select 12 households and ask if they own a computer. Answer the following questions. 1) Identify n 2) Identify p 3) Calculate 1 - p 4) Find the probability that exactly 6 of them respond yes 5) Find the probability that at least 6 of them respond yes 6) Find the probability that fewer than 6 of them respond yes 7) Find the probability...