The mean annual premium for automobile insurance in the United States is $1503 (Insure.com website, March 6, 2014). Belng from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile Insurance policies from the state of Pennsylvania showed a mean annual premium of $1440 with a standard deviation of s = $165 If required, enter negative values as negative numbers. a. Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium. H o: P - Select your answer Ha: - Select your answer b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean (to the nearest dollar)? %24 c. At a = .05, test for a significant difference by completing the following. Calculate the value of the test statistic (to 2 decimals). The p-value is -Select your answer - v What is your conclusion? - Select your answer -

The mean annual premium for automobile insurance in the United States is $1503 (Insure.com website, March 6, 2014). Belng from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile Insurance policies from the state of Pennsylvania showed a mean annual premium of $1440 with a standard deviation of s = $165 If required, enter negative values as negative numbers. a. Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium. H o: P - Select your answer Ha: - Select your answer b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean (to the nearest dollar)? %24 c. At a = .05, test for a significant difference by completing the following. Calculate the value of the test statistic (to 2 decimals). The p-value is -Select your answer - v What is your conclusion? - Select your answer -

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Description: The mean annual premium for automobile insurance in the United States is $1503 (Insure.com website, March 6, 2014). Being from Pennsylvania, you believe automobile insurance is cheaper there andwish to develop statistical support for your opinion. A

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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York Manufacturing Inc. offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal distribution, with a mean of 1234 dollars and a standard deviation of 321 dollars. What was the minimum cost for the 8 percent of employees that incurred the highest dental expense?
Does the sample size ? affect the standard deviation of all possible samplemeans? Explain your answer.
The National Coalition on Healthcare suggests that the mean annual premium that a health insurer charges an employer for a health plan covering a family of four averaged $13,000 in 2009. A sample of 30 families of four yields a mean annual premium paid by their employer to be $13,500 with a sample standard deviation of $300. We are interested in whether the mean annual premium that a health insurer charges an employer for a health plan covering a family of four is different from $13,000 using a significance level of 0.10. Select one: a. tdata = 9.129, do not reject Ho. b. tdata = 9.129, reject Ho. c. tdata = -9.129, do not reject Ho. O d. tdata = 4.156, reject Ho.
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?
Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let 4, denote the mean weight lost on the low-carb diet and u, denote the mean weight lost on the low-fat diet. Use the a = 0.01 level and the TI-84 Plus calculator. Compute the -value. Round the answer to four decimal places. Determine whether to reject H0 State a conclusion
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Nutrition Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 56 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.40 mg with standard deviation 4.71 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.41 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter != for as needed.) Ho: H₁: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the…
CNN/Money reports that the mean cost of a speeding ticket, including court fees, was $150.00 in 2002. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 150 drivers who have been fined for speeding in the last year, and find that they paid a mean of $154.00 per ticket. Assuming that the population standard deviation is $17.54, is there sufficient evidence to support the police department’s claim at the a = 0.05 significance level?
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The mean work week for engineers in start-up companies is claimed to be about 59 hours with a standard deviation of 6 hours. Kara, a newly hired engineer hopes that it's not (she wants it to be shorter). She asks 10 engineers in start-ups for the lengths of their mean work weeks. Their responses are 70; 45; 55; 60; 65; 55; 55; 60; 50; 55.a. Is the newly hired engineer testing a mean or a proportion? mean proportion Correct b. The null hypothesis (or company claim), in symbols, is μ=μ=Correct.c. If the claim is correct, what is the probability that a sample mean would be as low as Kara's mean?Incorrect %Give your answer as a percentage accurate to one decimal place.
Nutrition Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 53 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.60 mg with standard deviation 4.73 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.48 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter != for + as needed.) Ho: Hi: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the…