For the following exercises, use the limit definition of derivative to show that the derivative does not exist at
44.
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- The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.05. Click the icon to view the ages of the award winners. Best Actresses and Best Actors Construct a scatterplot. Choose the correct graph below. OA. Best Actor (years) 70- 17 OB. Best Actresses and Best Actors OC. 20- 20 70 Best Actress 27 30 30 62 33 32 46 30 58 23 45 51 Best Actress (years) Best Actor 43 37 37 44 47 47 56 49 40 56 46 34 The linear correlation coefficie (Round to three decimal place Determine the null and alterna Print Done Ho P H₁ P (Type integers or decimals. Do not round.) The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to…arrow_forwardA data set includes data from student evaluations of courses. The summary statistics are n = 93, x=3.83, s = 0.68. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? OA. Ho μ*4.00 H₁ =4.00 OC. Ho p=4.00 H₁:p>4.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. ☐ (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is OB. Ho H=4.00 H₁ #4.00 OD. Ho p=4.00 Η μ < 4.00 evidence to conclude that the mean of the population of student course evaluations is equal to 4.00 correct.arrow_forwardSimpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper bounds of 9 and lower bounds of 1 is 14.2302. Use the error made using this estimatearrow_forward
- Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg/g. 2.99 6.50 6.03 5.51 20.49 7.48 12.03 20.51 11.50 17.51 Identify the null and alternative hypotheses. Ho H₁₁ (Type integers or decimals. Do not round.) Identify the test statistic. 1 (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. There sufficient evidence at the 0.05 significance level to the claim that the mean lead concentration for all Ayurveda medicines manufactured in…arrow_forwardMany people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Click the icon to view the table. More Info OA. Ho: The sentence (sent to prison or not sent to prison) is not independent of the plea. H₁: The sentence (sent to prison or not sent to prison) is independent of the plea. OB. Ho Pleading guilty reduces a defendant's chance of going to prison. H₁: Pleading guilty doe OC. Ho: Pleading guilty doe H₁: Pleading guilty red More Info OD. Ho: The sentence (sen H₁: The sentence (sen Determine the test statistic. x²=(Round to three…arrow_forwardThere is an unused space at Mercedes- Benz Stadium, and they want customer feedback from concert goers on how to use the space. The space could be used for more bathrooms a VIP exclusive swag shop a new sit-down restaurant or a photo booth. Use the Ranked Voting Method to determine how the space will be used. Be sure to show all work for your process.arrow_forward
- Claim: Fewer than 95% of adults have a cell phone. In a reputable poll of 1081 adults, 86% said that they have a cell phone. Find the value of the test statistic The value of the test statistic is (Round to two decimal places as needed.) 13arrow_forward12. Compute the Gradient of the Scalar Field Go to page 38 of the linked document for the scalar field problem. Find the gradient of the scalar field and interpret its meaning. Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Provide a clear explanation of the steps involved.arrow_forwardthe integral of the squre root of x dx with upper bounds of 9 and lower bounds of 1 is 14.2302 but exactly 18. Use the Error Bound to find the bound for the error.arrow_forward
- Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper bounds of 9 nd lower bounds of 1 is 14.2302 but exactly 18.arrow_forwardSimpson’s Rule with n = 4 subintervals to estimate the integral of the square root of x dx upper bound of 9 and lower bound of 1 is 14.2302 but exactly 18.arrow_forwardSuppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.10 significance level to test that claim. O A. Ho p=0.24 H₁ p 0.24 OB. Ho p=0.24 H₁ p>0.24 OC. Ho p=0.24 H₁: p<0.24 OD. Ho p# 0.24 H₁ p=0.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test The P-value for this hypothesis test is ☐ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. E OA. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the…arrow_forward
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