Question

The weight (in pounds) for a population of school-aged children is normally distributed with a mean...

The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 123 ± 25 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance.

1. What are the null and alternative hypotheses?

2. What is the critical value for this test?

3. What is the mean of the sampling distribution?

4. What is the standard error of the mean for the sampling distribution?

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

Homework Answers

Answer #1

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
In the population, IQ scores are normally distributed with a mean of 100. A charter school...
In the population, IQ scores are normally distributed with a mean of 100. A charter school wants to know if their students have an IQ that is higher than the population mean. They take a random sample of 15 students and find that they have a mean IQ of 109 with a sample standard deviation of 20. Test at 1% significance level whether the average IQ score in this school is higher than the population mean. a) Write down null...
Test the claim about the population mean μ at the level of significance α. Assume the...
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Write out null and alternative hypotheses, your critical z-score and your z-test statistic. Decide whether you would reject or fail to reject your null hypothesis. Claim: μ > 28; α = 0.05, σ = 1.2 Sample statistics: x̅ = 28.3, n = 50 H0: Ha: Critical z-score: Z test statistic: Decision:
the weight of people in a certain population are normally distributed with a mean of 158...
the weight of people in a certain population are normally distributed with a mean of 158 lbs and a standard deviation of 24lbs. find the the mean and standard error of the mean for this sampling distribution when using random samples of size 5
Children of a certain age are known to have a mean weight of 85 pounds. A...
Children of a certain age are known to have a mean weight of 85 pounds. A complaint is made that the children living in a municipal home are overfed. As one bit of evidence, 25 randomly selected children are weighed and found to have a mean weight of 87 pounds. It is known that the population standard deviation is 11.6 pounds. Is there convincing evidence at 0.05 significance level that mean weight of the children is greater than 85 pounds?...
Assume that the population mean weight for ten year old boys is μ = 88 pounds...
Assume that the population mean weight for ten year old boys is μ = 88 pounds with population standard deviation σ = 2.2 pounds. Also assume that the data is normally distributed. What proportion of ten year old boys weigh more than 91 pounds?
Test the claim about the population mean μ at the level of significance α. Assume the...
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Write out null and alternative hypotheses, your critical t-score and your t-test statistic. Decide whether you would reject or fail to reject your null hypothesis. Claim μ ≥ 13.9 α = 0.05 Sample statistics: x̅ = 13, s = 1.3, n = 10 H0: Ha: t0: t-test statistic: Decision:
The number of milliliters in a bottle of cough medicine is normally distributed with mean μ...
The number of milliliters in a bottle of cough medicine is normally distributed with mean μ = 350 ml and standard deviation σ = 3. A new bottling procedure is introduced, and a random sample of 144 bottles has sample mean x ¯ = 351 ml. it is assumed that the standard deviation is still 3 ml. The null hypothesis is H 0: μ = 350, the alternative hypothesis is H a: μ > 350. and the level of significance...
The Law School Admission Test (LSAT) is designed so that test scores are normally distributed. The...
The Law School Admission Test (LSAT) is designed so that test scores are normally distributed. The mean LSAT score for the population of all test-takers in 2005 was 154.35, with a standard deviation of 5.62. Calculate the value of the standard error of the mean for the sampling distribution for 100 samples. Round to the second decimal place.
For the general population, IQ test scores are normally distributed with a mean of 100 and...
For the general population, IQ test scores are normally distributed with a mean of 100 and a variance of 225. The IQ scores for a sample of 81 randomly selected chemical engineers resulted in a variance of 144. We want to test the claim that the variance for chemical engineers is less than that of the general population. 1. What is the Null Hypothesis and the Alternative Hypothesis? 2. If we use a 0.01 significance level, what is the critical...
the weight of the population of cans of coke are normally distributed with a mean of...
the weight of the population of cans of coke are normally distributed with a mean of 12 oz and a population standard deviation of 0.1 oz. A sample of 7cans is randomly selected from the popuation. (a) find the standard error of the sampling distribution. round your answer to 4 decimal places. (b) using the answer from part (a), find the probability that a sample of 7 cans will have a sample mean amount of at least 12.02 oz. Round...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT