QUESTION 5 Verify that the function satisfies the hypotheses of the Mean Value Theorem on the answer and show your work separately. If it does not satisfy the hypotheses, explai 5 1, 10] flx) = x+ 21 UTICIO (Da or ALT+FN+F10 (Mac).
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- What is the purpose of the Intermediate Value Theorem?Find kurtosis by using ungroup data given in the picture using quartile deviation, make sure to arrange data before solving question.suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 8.6 seconds. Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer than 8.6 secons. What would you use for the alternative hypothesis?
- Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?Dave is driving on an American Interstate highway which has a speed limit of 55 mph. At 2 pm he is at milepost 110 and at 5 pm he is at milepost 290. Is this enough evidence to prove that Dave was speeding? Prove using the Mean Value Theorem.A local chess club claims that the length of time to play a game has a mean of 43 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ equal to less than or equal to not equal to greater than or equal to greater than less than 43 minutes, but you ▼ reject fail to reject the null hypothesis, ▼ Upper H 0 : mu greater than or equals 43H0: μ≥43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu less than 43H0: μ<43 . A type II error will occur if the actual mean of the length of time to play a game is ▼ greater than less than or equal to less than greater than or equal to equal to not equal to 43 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0…
- A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6◦F. The results of the study by P. Mackowiak et al. appeared in the article “A Critical Appraisal of 98.6◦F, the Upper Limit of the Normal Body Temperature, and Other Legacies of Carl Reinhold August Wunderlich” (Journal of the American Medical Association, Vol. 268, pp. 1578–1580). Among other data, the researchers obtained the body temperatures of 93 healthy humans. Suppose that you want to use those data to decide whether the mean body temperature of healthy humans differs from 98.6◦F. Hypothesis tests are proposed. For each hypothesis test, a. determine the null hypothesis.b. determine the alternative hypothesis.c. classify the hypothesis test as two tailed, left tailed, or right tailed.Q1: Suppose data on root length (in mm) were obtained from roots from the three set-ups: (1) negative control; (2) positive control; (3) water sample of interest. Propose the inferential statistics used to analyze the data. Inferential StatisticsA food inspector, examining 12 jars of a certain brandof peanut butter, obtained the following percentages ofimpurities: 2.3, 1.9, 2.1, 2.8, 2.3, 3.6, 1.4, 1.8, 2.1, 3.2, 2.0, and 1.9. Based on the modification of Theorem 1 of Exer-cise 7, what can she assert with 95% confidence about the maximum error if she uses the mean of this sample as anestimate of the average percentage of impurities in thisbrand of peanut butter?