The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,476 kilowatt hours (kWh) of electricity this year. A local powercompany believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of153 of their customers and calculates that these customers used an average of 10,767 kWh of electricity last year. Assuming that the population standard deviation is2478 kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance?Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.Họ : 1 =10,476H₁₂H.:μHa10,476

In hypothesis testing, we start by stating the null hypothesis (H0) and the alternative hypothesis…

Answered: The U.S. Energy Information…

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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In a 1868 paper, German physician Carl Wunderlich reported based on over a million body temperature readings that the mean body temperature for healthy adults is 98.6° F. However, it is now commonly believed that the mean body temperature of a healthy adult is less than what was reported in that paper. To test this hypothesis a researcher measures the following body temperatures from a random sample of healthy adults. 98.2, 98.6, 98.5, 98.6, 97.6, 98.2, 98.0 (a) Find the value of the test statistic. (b) Find the 10% critical value.
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…
The researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both samples were asked "Have you read a print book in the last year?" Use the accompanying results from the study to complete parts (a) through (c). Read a print book Total 9 Yes 2521 1375 No Total 2015 1206 680 1886 p-value= (Round to three decimal places as needed.) 2018 1315 695 2010 a. Find and compare the sample proportions that had read a print book for these two groups. The sample proportion of the 2015 subjects that read a book within the last year is. The sample proportion of the 2018 subjects that read a book within the last year is (Round to four decimal places as needed.) The sample proportion for 2015 is b. Find a pooled estimate of the sample proportion. A pooled estimate of the sample proportion is (Round to four decimal places as needed.) c. Has the proportion who read print books increased? Find the observed value of the test statistic to test the hypotheses Ho: P₁ = P2 and Ha:…
Refer to the following morbidity and mortality statistics for Community X for 2008. Total One-Year Population: 250,000 Population of Women 15-44: 75,000 Number of live births: 6,000 Total Deaths: 2,260 Number of infant deaths: 120 Deaths from heart disease: 222 Deaths from Cancer: 115 Deaths from Stroke: 90 Number of persons diagnosed with cancer 10,500 Calculate the following: Infant Mortality Rate _____________________________________ Prevalence of cancer for 2008 _____________________________ Crude Death Rate ______________________________________ Cause-specific mortality rate for stroke…
According to the Pew research center 65% of US adults believe that the government should play a larger role in addressing climate change. A random sample (SRS) of 80 US adults found that 56 US adults believe that the government should play a larger role in addressing climate change. Does this indicate that population proportion of US adults who believe that the government should play a larger role in addressing climate change is MORE THAN 65%? Given: a= 0.05 level 1. List your oH and aH: (symbols and words) 2. State and Check the conditions for the test: 3. Use the information in question: Identify the hypotheses being tested: Find your SE and test statistic by hand: 4. Use the information in question: State your conclusion given 05.0 level, in a complete sentence, in the context of the problem. 5. Use the information in question. Find the 95% confidence interval by hand using: Given z*=1.96
The background concentration of a chemical in soil was measured on ten random specimens of soil from an uncontaminated area. The measured concentrations, in mg/kg, are: 1.4, 0.6, 1.2, 1.6, 0.5, 0.7, 0.3, 0.8, 0.2, and 0.9. Soil from a neighboring area will be declared “contaminated” if test specimens contain a chemical concentration higher than the upper 99% confidence limit of the background level. What is the cleanup target concentration?
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25%o or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p N 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 273273 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 5757 6262 119119 Not Vaccinated 8383 7171 154154 Total 140140 133133 273273 Copy Data Step 6 of 8 : Find the critical value of the test at the 0.0050.005 level of significance. Round your answer to three decimal places.
According to Pew Research Center surveys, 79% of U.S. adults were using the Internet in January 2011 and 83% were using it in January 2012 (USA TODAY, January 26, 2012). Suppose that these percentages are based on random samples of 1720 U.S. adults in January 2011 and 1970 in January 2012. a. Let p, and p, be the proportions of all U.S. adults who were using the Internet in January 2011 and January 2012, respectively. Construct a 95% confidence interval for p, - P2- Round your answers to three decimal places. to i
A longitudinal study was conducted to investigate if a 3 week "Green" program can change people's attitude's towards recycling. Participants were randomly allocated into two groups: (1) those who received the Green program and (2) those who did not receive the Green program. Each participant completed a survey (measured on a metric scale) which measured their attitudes towards recycling at the end of each week of the study. It was hypothesised that those in the Green program would have more positive attitudes towards recycling compared to those in the non Green group. It was also hypothesised that this difference would be largest at the end of week 3 of the study. Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses? Group of answer choices: Within subjects ANOVA Mixed ANOVA Single factor ANOVA Factorial ANOVA Multiple Regression
Calculate the infant mortality rate (per 1000): Use the data in the table below to calculate the following vital statistics. Vital statistics Total midyear population Number of live births 4250 Total deaths (all causes) Deaths in infants under 1 year of age Deaths due to cancer 100 O 0.1 10 01 0.01 5,000,000 5000 In a clinical trial of 734 subjects treated with medicine A, 29 reported headaches. In a control group of 735 subjects not treated with medicine A, 117 reported headaches. The Number Needed to Treat is equal to: [ 02 09 06 3
In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decima

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