Question

In: Statistics and Probability

A pumpkin farmer weighed a simple random sample of sizen= 20 pumpkins, with these results:9.6, 8.8,...

A pumpkin farmer weighed a simple random sample of sizen= 20 pumpkins, with these results:9.6, 8.8, 5.1, 9.7, 9.1, 8.9, 8, 9.2, 2.7, 9.1, 8.5, 7.3, 9.3, 9.6, 4.1, 9.9, 7.6, 9, 7.2, 8.5

1.how to use R to perform the bootstrap with 2000 resamplings to create a90% confidence interval forμ

2.how to know whether the true mean pumpkin weight for this pumpkin farmer’s patchis greater than 7.2. Conduct a bootstrap hypothesis test with 2000 resamplings at a significance levelα= 0.05.

3.how to conduct a hypothesis test at levelα= 0.05 to see whether we can assert the data are strong evidencethe true median weight for this pumpkin farmer’s patch is greater than 7.2.

Solutions

Expert Solution

1)

The lower limit of the 95% confidence interval for the true mean is 7.27975 and greater than 7.2. Hence, we can conclude that the true mean pumpkin weight for this pumpkin farmer’s patches greater than 7.2 at a significance levelα= 0.05.

# 3

The P-value is 0.1606 and greater than 0.05 level of significance. Hence, the data are not strong evidence the true median weight for this pumpkin farmer’s patch is greater than 7.2.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A simple random sample of pulse rates of 20 women from a normally distributed population results...
A simple random sample of pulse rates of 20 women from a normally distributed population results in a standard deviation of 12.2beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that pulse...
A simple random sample of 60 items results in a sample mean of 80. The population...
A simple random sample of 60 items results in a sample mean of 80. The population standard deviation is σ = 15. Compute the 95% confidence interval for the population mean. (Round to two decimal places) __________ and __________ Assume the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round to two decimal places) __________ and __________
A random sample of 40 bags of flour is weighed. It is found that the sample...
A random sample of 40 bags of flour is weighed. It is found that the sample mean is 453.08 grams. All weights of the bags of flour have a population standard deviation of 5.42 grams. What is the lower limit of an 80% confidence interval for the population mean weight? Select one: A. No solution B. 451.983 grams C. 452.360 grams D. 452.405 grams After interviewing a sample of 100 residents of New Taipei City, you find that the mean...
A random sample of 40 bags of flour is weighed. It is found that the sample...
A random sample of 40 bags of flour is weighed. It is found that the sample mean is 453.08 gram. All weights of the bags of flour have a population standard deviation of 5.42 gm. What is the lower confidence limit (LCL) of an 80% confidence interval for the population mean weight?
3) A random sample of 100 pumpkins is obtained and the mean circumference is found to...
3) A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.
To test H0: mean = 20 vs H1: mean < 20 a simple random sample of...
To test H0: mean = 20 vs H1: mean < 20 a simple random sample of size n = 18 is obtained from a population that Is known to be normally distributed (a) If x-hat = 18.3 and s = 4.3, compute the test statistic (b) Draw a t-distribution with the area that represents the P-value shaded (c) Approximate and interpret the P-value (d) If the researcher decides to test this hypothesis at the a = 0.05 level of significance,...
To teat Ho: u = 20 versus H1: u< 20, a simple random sample of size...
To teat Ho: u = 20 versus H1: u< 20, a simple random sample of size n=20 is obtained from a population that is known to be normally distributed. Answer parts B through D. (a) if x=18.2 and s=3.8. Test statistic is -2.12 (b)- Draw a t-distribution with thearea that represents the P-value shaded. Which of the following graphs show the correct shaded region? Approximate the P-value. Choose the correct range for the P-value below. A- 0.10< P-value <0.15 B-...
A simple random sample of 153 men from a normally distributed population results in a standard...
A simple random sample of 153 men from a normally distributed population results in a standard deviation of 10.9 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that pulse rates of...
A simple random sample of 4444 men from a normally distributed population results in a standard...
A simple random sample of 4444 men from a normally distributed population results in a standard deviation of 7.77.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 1010 beats per minute. Use the sample results with a 0.050.05 significance level to test the claim that pulse rates of...
A simple random sample of 35 men from a normally distributed population results in a standard...
A simple random sample of 35 men from a normally distributed population results in a standard deviation of 11.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT