The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from apopulation that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below.5.724.584.805.195.204,625.024.744.874.764.565.68Click the icon to view the table of critical t-values.(a) Determine a point estimate for the population mean.A point estimate for the population mean is 4.98(Round to two decimal places as needed.)(b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes(Use ascending order. Round to two decimal places as needed.)complete your choice.O A. There is a 95% probability that the true mean pH of rain waterbetweenandOBThere is 95% confidence that the population mean pH of rain water is between andO C. If repeated samples are taken, 95% of them will have a sample pH of rain water between and.

The data shows the represent the pH of rain for a random sample of 12 rain dates.

Answered: The following data represent the pH of…

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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he home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean and standard deviation keys to find and s (in percentages). (For each answer, enter a number. Round your answers to two decimal places.) = x bar =____________ %s =___________________ % (b) Compute a 90% confidence interval (in percentages) for the population mean μ of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (For each answer, enter a number. Round your answers to two decimal places.)lower limit ____________ %upper limit ____________ % (c) Compute a 99% confidence…
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…
The following data represent the weight (in grams) of a random sample of 13 medicine tablets. Find the five-number summary, and construct a boxplot for the data. Comment on the shape of the distribution. 0.601 0.611 0.604 0.600 0.600 0.598 0.606 0.599 0.600 0.599 0.598 0.602 0.604 The five-number summary is . 7 (Round to three decimal places as needed. Use ascending order.) Choose the correct boxplot of the data below. O A. OB. C. OD. 0.6 0.61 0.6 0.61 0.6 0.61 0.6 0.61 Choose the correct description of the shape of the distribution. O A. The distribution is roughly symmetrical. O B. The distribution is skewed to the left. O C. The distribution is skewed to the right. O D. The shape of the distribution cannot be determined from the boxplot.
We learned that there are 4 items by which we characterize a distribution in statistics. Which of the followings is NOT one of them? O a. Central tendency Ob. Homogeneity O c. Skewness Od. Kurtosis
The table below shows the frequency distribution of the rainfall on 52 consecutive Tuesdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Class 0-0.19 0.20 -0.39 0.40 -0.59 0.60-0.79 0.80 -0.99 1.00-1.19 1.20-1.39 Frequency 22 13 4 1 5 6 1 Choose the correct histogram below. OA. OB. O C. 30- 20- 10- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 30- 20- 10- 0+ 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 30- 20- 10- 0+ 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Q Q Q Do the data appear to have a distribution that is approximately normal? O A. No, it is approximately uniform. OB. No, it is not symmetric. OC. No, it has no obvious maximum. O D. Yes, it is approximately normal.
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According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…
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