Activity 2.1: Be Critical! Directions: Determine the critical value and illustrate the rejection region under the normal curve by using the given information. Critical Value: ^ Critical Value: Critical Value: Critical Value: Critical Value: 1. Ha: P α = 0.01 Ha: p > 0.50 α = 0.05 Ha: p = 0.70 a = 0.05 Ha: p < 0.55 a = 0.10 Ha: p = 0.43 a = 0.01 2
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- Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. (b) the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] (c) the sample standard deviation (d) s2 using the shortcut methodDefine the alpha level ad the critical region for a hypothsis test.Perform the test of hypothesis indicated, at 0.10 level of significance, using the data from independent samples shownH0 : u1 - u2 = 15 versus H1 : u1 - u2 < -15n1 = 30, x1 = 42, s1 = 7n2 = 12, x2 = 60, s2 = 5Please include your calculations- Test Statistic- Value of Test Statistic- What is the numerical value of the critical region?- What is the p-value?- Decision (Reject or Fail to Reject)- Conclusion
- From the attached file we will conduct a hyothesis test to determine whether oxidation thickness is linearly related to tempertature. Assume significance is alpha 0.05. Null hypothesis = 0 Alternative hypothsis does not equal 0 a. employ the t-test statistic and name the sampling distribution of the test statistic. b.Should we reject the null and justify? C. use p-value to and draw the sampling distribution and shade area corresponding to p-valueAn experiment was conducted to compare the alcohol content of soy sauce on two different production lines. Production was monitored eight times a day. The data are shown here. Production line 1 0.38 0.37 0.39 0.41 0.38 0.39 0.40 0.39 Production line 2 0.48 0.39 0.42 0.52 0.40 0.48 0.52 0.52 Assume both populations are normal. It is suspected that production line 1 is not producing as consistently as production line 2 in terms of alcohol content. Using the 0.05 level of significance, can conclude that the population standard deviations for the alcohol content of these two types of production lines could be the same.The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, =y−41.990.51x . This line is shown in the scatter plot below. Based on the sample data and the regression line, complete the following. (a)For these data, mileages that are less than the mean of the mileages tend to be paired with used selling prices that are ▼(Choose one) the mean of the used selling prices. (b)According to the regression equation, for an increase of…
- Determine the kurtosis if the data given is a sample.The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation y = 40.63 - 0.46x . This line is shown in the scatter plot below. Mileage, x(in thousands) Used selling price, y(in thousands of dollars) 23.9 29.5 37.6 22.6 20.8 30.9 23.3 33.1 28.3 26.1 27.3 29.9 27.7 29.8 20.9 30.3 25.8 27.2 34.4 25.9 23.9 27.4 23.8 27.5 23.2 31.4 15.6 34.0 29.4 27.7 Send…The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, Ŷ=42.39-0.52x. This line is shown in the scatter plot below. (The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.)
- The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation Ŷ=42.80-0.53x. This line is shown in the scatter plot below. (The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.)Fiber Density. In the article “Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy” (American Industrial Hygiene Association Journal, Vol. 63, pp. 756–761), I. Moa et al. reported on determining fiber density by two different methods. The fiber density of 10 samples with varying fiber density was obtained by using both an eyepiece method and a TV-screen method. A hypothesis test is to be performed to decide whether, on average, the eyepiece method gives a greater fiber density reading than the TV-screen method. a. identify the variable. b. identify the two populations. c. identify the pairs. d. identify the paired-difference variable. e. determine the null and alternative hypotheses. f. classify the hypothesis test as two tailed, left tailed, or right tailed.The cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen cadets, each bought new two years ago, and each sold used within the past month . For each cadet in the sample, we have listed both the mileage x (in thousands of miles) that the cadet had on its odometer at the time it was sold used and the price y (in thousand dollars) at which the cadet was sold used. The least-squares regression line for these data has equation of y=41.79-0.50x. This line is shown in the scatter plot below. A) for these data, used selling prices that are greater than the mean of the used selling prices tend fo be paired with mileages that are ___ the mean of the mileages ? B) according to the regression equation, for an increase of one thousand miles in cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling price?