Question

A random sample size of 1000 school children from urban areas shows average height is 150cm...

A random sample size of 1000 school children from urban areas shows average height is 150cm with an S.D. of 45.2cm. Similar sample of students from rural school has average height of 146 cm. with an SD of 37.3cm. Are students from urban area taller than students from rural area?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The null and alternative hypothesis

Test statistic

where

= 41.44

Thus

= 2.16

df =n1+n2-2 =1000+1000-2 = 1998

P value =P( t > 2.16)

Using t table or excel formula "=T.DIST.RT(2.16,1998)" P value for t = 2.16 with df =1998 is

P value = 0.0154

Since P value <0.05

Reject H0

At 5% level of significance there is sufficient evidence to conclude that urban students are taller than rural area .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
9.14. A random sample of size 144 is taken from the local population of grade-school children....
9.14. A random sample of size 144 is taken from the local population of grade-school children. Each child estimates the number of hours per week spent watching TV. At this point, what can be said abut the sampling distribution? *b.Assume that a standard deviation, o, of 8 hours describes the TV estimates for the local population of schoolchildren.  At this point, what can be said about the sampling distribution? *c.Assume that a mean u, of 21 hours describes the TV estimates...
Dr. Carey gives a variety of achievement and aptitude tests to 1000 ten-year-old children from Southside...
Dr. Carey gives a variety of achievement and aptitude tests to 1000 ten-year-old children from Southside Elementary School and 1000 ten-year-old children from Northside Elementary School. On average, the Southside students perform better on the tests than the Northside students. Dr. Carey concludes that teachers at Southside are superior to those at Northside. Is this conclusion warranted? Why or why not?
(2) Data is collected, which represents the HEIGHT (centimeters) of a random sample of 50 PACE...
(2) Data is collected, which represents the HEIGHT (centimeters) of a random sample of 50 PACE U. students:                                    CLASS          FREQUENCY 150 TO < 156       4 156 TO < 162       7 162 TO < 168     15 168 TO < 174     11 174 TO < 180     10 180 TO < 186      3                  ∑ f = 50 Please summarize this data by constructing a RELATIVE FREQUENCY CUMULATIVE “ LESS THAN “ DISTRIBUTION. WHAT PERCENTAGE of sampled students are 168 cm OR...
A simple random sample of 18 male students at a university has an average height of...
A simple random sample of 18 male students at a university has an average height of 70 inches. The average height of men in the general population is 69 inches. Assume that male height is approximately normally distributed with σ = 2.8 inches. Conduct a two-sided hypothesis test to determine whether the male students have heights that are significantly different than expected. Show all hypothesis testing steps.
A principal at a certain school claims that the students in his school are above average...
A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal’s claim? The IQ of the population (Random Variable X) is assumed to be a normal distribution. The mean population IQ is 100 with a standard deviation of 15. 1. Find the rejection region area (given by your alpha level 0.05) from...
I collect the following data from a random sample of 15 adults: height and if they...
I collect the following data from a random sample of 15 adults: height and if they have asthma. Adult height in this community follows a normal distribution with a mean of 178 cm and a standard deviation of 10 cm. Also, 9 % of adults in this community have asthma. What is the probability that the mean height of a sample of 15 adults is between 170 and 180 cm? What is the probability that less than 4 of the...
a. A random sample of elementary school children in New York state is to be selected...
a. A random sample of elementary school children in New York state is to be selected to estimate the proportion p who have received a medical examination during the past year. The survey found that x = 468 children were examined during the past year. Construct the 95 % confidence interval estimate of the population proportion p if the sample size was n=600 . Give your confidence interval bounds to at least 4 decimal places. b) Which of the following...
A random sample of 50 children from rural region found that- 35 children consume at least...
A random sample of 50 children from rural region found that- 35 children consume at least one sugary soft drink per day. a) Construct then state a 90% confidence interval from this sample result for the true proportion of children consuming at least one sugary soft drink per day. You don't have to show your working. b) Interpret your interval in this context. c) From your interval, are significantly less than 70% of children consuming at least one sugary soft...
Data: A simple random sample of school children was categorized based on the level of school...
Data: A simple random sample of school children was categorized based on the level of school and the children’s preference for a mother working outside the home. Elementary Middle High Working School School School Mothers Children Children Children Prefer 37 48 89 No Preference 63 52 11 Use the p-value method and a 0.5% significance level to test the claim that the populations of elementary school children, middle school children, and high school children exhibit homogeneous preferences for working mothers....
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The...
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates: Select one or...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT