Find a 90% confidence interval for the difference between the population means for the two locations, assuming that the populations are approximately normally distributed.
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Find a 90% confidence interval for the difference between the population means for the two
locations, assuming that the populations are approximately
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- An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2. Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 12.64 13.86 14.22 12.45 14.45 12.85 17.58 15.69 13.42 11.64 15.07 14.72 15.12 14.53 11.20 10.51 18.15 16.70 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist’s claim at the 0.10 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2. Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 19.99 18.65 15.30 17.29 14.40 16.17 17.31 18.68 12.85 13.53 12.41 13.11 14.74 13.13 19.15 19.36 11.84 13.69 Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We fail to reject the null hypothesis and conclude that there is insufficent evidence at a…The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.4 hours. Because of school closures due to COVID-19, the College Board offered an at-home test for the 2020 AP Statistics Exam. A teacher feels that students, on average, will have a different completion time for the at-home exam. They take a random sample of 25 students that took the exam and their mean time was 2.74 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 5% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: M H₁: P Based on the hypotheses, find the following: Test Statistic t = Critical-Value t = ± 2.4 #v 2.4 o hours hours
- Develop a 95% confidence interval for the population slope if the followingregression information are given: b1= 41.7, p-value = 0.02, and n = 35.A school district decided to measure the BMI of all 3rd graders and identify the highest 1% and lowest 1% of those students. If the distribution is converted to a z distribution, what would be the upper critical z value and lower critical z value that mark the two significant areas at the tails?Given two independent random samples with the following results: n1=12x‾1=73s1=27n1=12x‾1=73s1=27 n2=12x‾2=102s2=22n2=12x‾2=102s2=22 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
- A researcher has obtained the following scatter plot depicting the relationship between Y and X. On the graph, you can see three possible regression lines, which have a common y-intercept of bo = 35.48. Lines A, B and C cross the y-axis at coordinates (52, 106.78), (52, 66.52) and (52, 36.67), respectively. Given the confidence interval is (0.333, 1.122), choose the correct answer(s). rise Hint: Calculate slope of each line using known formula slope = run 35.48 0 Line A Line B Line C O O O 60 X 8 00 52 106.78 66.52 36.67 Select one or more: ✔a. The slope of Line A is within the confidence interval. ✓b. The slope of Line B is within the confidence interval. ✓ C. The slope of Line C is within the confidence interval.The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, η, as well as for a population mean, µ. Why is that so?A two-way ANOVA experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. Assume normality in the underlying populations. The results include the following sum of squares terms: SST=1542 SSA= 1042 SSB = 358 SSAB = 39 a. Construct an ANOVA table. (Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation Rows Columns Interaction Error Total SS 0 df Answer is not complete. 0 MS F p- value 0.000 0.000 0.002
- An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist’s claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2. Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 19.32 18.19 15.00 13.69 11.20 12.72 14.48 14.51 14.15 12.23 19.17 17.21 13.13 11.29 17.62 15.89 19.06 17.71 Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below Step 2 of 3: Compute the value of the test statistic. Round your…Given two independent random samples with the following results: n1=10x‾1=89s1=19�1=10�‾1=89�1=19 n2=17x‾2=128s2=28�2=17�‾2=128�2=28 Use this data to find the 90%90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist's claim at the 0.02 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2. Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 12.62 11.24 16.01 17.99 12.59 14.44 19.94 21.43 17.75 19.24 15.91 17.39 18.89 19.94 15.85 16.67 13.90 15.31 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.