Question

In: Statistics and Probability

A sample of 100 households is selected from a village in a small country with a...

A sample of 100 households is selected from a village in a small country with a mean household income of $27,200 and standard deviation of $8,400. This seems to be higher than the average for the whole country which is $25,000 and with a standard deviation of $6,500. Is the income of this small village higher on average than the rest of the country? Calculate and show the main steps for this problem.

Solutions

Expert Solution

Ho is rejected at 5% los, we conclude that the claim is true that the the income of this small village higher on average than the rest of the country

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You


Related Solutions

Suppose a random sample of 100 households were selected from a large city. if the true...
Suppose a random sample of 100 households were selected from a large city. if the true proportion of households in the city that owns at least one pet is 0.4, then what is the probability that at least 50% of the sample owns at least one pet? a) 0.0207 b) 0.9793 c) 0.5793 d) 0.4207 e) 0.2578
A simple random sample of 30 households was selected from a particular neighborhood. The number of...
A simple random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Construct the 98% confidence interval estimate of the population mean. 2 0 1 2 3 2 1 0 1 4 1 3 2 0 1 1 2 3 1 2 1 0 0 5 0 2 2 1 0 2 A) 1.0 cars < μ < 2.0 cars B) 0.9 cars < μ < 2.1 cars C)...
2. A sample of 100 is selected from a population with mean µ = 100 and...
2. A sample of 100 is selected from a population with mean µ = 100 and σ = 20.0. (a) Describe the sampling distribution of the sample mean X¯. (b) Find P(X >¯ 105). (c) Find P(100 < X <¯ 105). (d) Find P(98 < X <¯ 104). 3. According to the U.S. Department of Energy, the average price of unleaded regular gasoline sold at service stations throughout the nation is $1.23 per gallon with a standard deviation of $0.16....
In a simple random sample of 100 households, the sample mean number of personal computers was...
In a simple random sample of 100 households, the sample mean number of personal computers was 1.32. Assume the population standard deviation is 0.41. Construct a 95% confidence interval for the mean number of personal computers. (a) (1.24, 1.40) (b) (1.25, 1.39) (c) (0.15, 0.67) (d) (0.19, 0.63)
A random sample of n = 100 scores is selected from a normal population with a...
A random sample of n = 100 scores is selected from a normal population with a mean of μ = 60 and a standard deviation of σ = 20. What is the probability of obtaining a sample mean greater than M = 57?
A random sample of 36 households was selected as part of a study on electricity usage,...
A random sample of 36 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) was recorded for each household in the sample for the March quarter of 2019. The average usage was found to be 375kWh. In a very large study (a population) in the March quarter of the previous year it was found that the standard deviation of the usage was 72kWh. Assuming the standard deviation is unchanged and that the...
suppose a random sample of 137 households in a city was selected to determine the average...
suppose a random sample of 137 households in a city was selected to determine the average annual household spending on food at home for city residents. The sample results are contained in the accompanying table. Complete parts a and b below. a. Using the sample standard deviation as an estimate for the population standard​ deviation, calculate the sample size required to estimate the true population mean to within ±25 with 90​% confidence. How many additional samples must be​ taken? The...
a random sample size of 100 is selected from a population with P equals 40
a random sample size of 100 is selected from a population with P equals 40
A random sample of n =100 is selected from a normal population with mean μ =...
A random sample of n =100 is selected from a normal population with mean μ = 24 and standard deviation σ = 1.25. Find the probability that  is less than 24.3
A sample of n=25 scores is selected from a normal population with μ = 100 and...
A sample of n=25 scores is selected from a normal population with μ = 100 and σ = 20 . a. What is the probability that the sample mean will be greater than 120? b. What is the probability that the sample mean will be less than 105? c. What is the p (90 < M < 110)?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT