### Statistical Analysis of Independent Random SamplesIndependent random samples from normal populations produced the following results. Complete parts (a) through (d) below.#### Data Table:| Sample 1 | Sample 2 || --- | --- || 2.2 | 2.9 || 1.2 | 3.3 || 3.3 | 2.9 || 1.1 | 3.4 || - | - |### Task:**a. Calculate the pooled estimate of \(\sigma^2\).**\[ s_p^2 = \boxed{\phantom{4.0000}} \](Round to four decimal places as needed.)This section will help students understand the process of calculating the pooled estimate of variance (\(\sigma^2\)) using the given data from two independent samples. The pooled variance is a method that provides a single estimate of variance by combining data from both samples.1. **Sample Data:** - *Sample 1:* 2.2, 1.2, 3.3, 1.1 - *Sample 2:* 2.9, 3.3, 2.9, 3.42. **Calculation Steps:** - Calculate the sample means (\(\bar{x}_1\) and \(\bar{x}_2\)). - Compute the sum of squared deviations from the mean for each sample. - Sum the squared deviations for both samples. - Divide the total sum by the degrees of freedom (total number of observations - 2).By following these steps, students can accurately determine the pooled estimate of the population variance.

To calculate the pooled estimate .

Answered: Independent random samples from normal…

MATLAB: An Introduction with Applications

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Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant 51.2 59.8 56.3 58.2 55.2 56.0 51.9 60.5 57.0 50.9 Financial Planner 50.0 49.2 54.1 56.9 50.9 53.6 Find the value of the test statistic. W = 75.50 X 49.7 53.9 51.8 48.9 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. O Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. O Ho: Median salary for public accountants - Median salary for financial planners 20 H₂: Median salary for public accountants - Median salary for financial planners 0 O Ho: Median salary for public accountants - Median salary for financial planners > 0 H₂: ₂: Median salary for public accountants - Median salary…
The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 2.4 3.4 2.7 1.8 0.9 4.0 2.2 1.1 3.6 0.4 2.1 3.1 (a) Find the sample mean. x=_____ (Round to two decimal places as needed.) (b) Find the sample standard deviation. s=_____ (Round to two decimal places as needed.) (c) Construct a 90% confidence interval for the population mean μ. A 90% confidence interval for the population mean is (__, __) (Round to two decimal places as needed.)
touch ".llE 55% D14:52 Question Measurements for the length and width of a rectangular plastic covers for CDs are Tounded to the nearest mm (so they are discrete). Let X denote the length and Y dente the width. The possible values of X are 129, 130, and 131 mm. The possible values of Y are 15 and 16 mm. The joint distribution is given by the following table X-length 129 130 131 Y=width 15 0.12 0.42 006 16 0.08 0.28 0.04 The probability that a CD cover has width of 16 mm knowing that it has a length of 131 mm is O 0.13 O 0.2 O 0.4 O 0.08
The data represents the heights of eruptions by a geyser. ← Use the heights to construct a stem and leaf plot. Is there strong evidence suggesting that the data are not from a population having a normal distribution? Which plot represents a correct stem and leaf plot of the data? O A. 910 10 0 1 3 689 110034 12 0 0 1 13 0 0 0 1 14 0 15 0 OB. 9/0 ⒸA. 6 B. 1 OC. 4 OD. 5 10 0 1 11 00001 12 03 6 89 13 0 0 3 4 14 01 15 0 O C. 9|001 10 0 18 11 0 0 3 12 0 0 9 13 0 0 6 14 034 15 0 1 If there were a 200 foot eruption, how many stems would it add to the chart above? Save Height of eruption (in.) 128 90 110 150 140 110 100 130 110 123 134 111 110 126 129 120 133 130 101 141 ww Incor
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The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. (a) Find the sample mean. x=(Round to two decimal places as needed.) Clear all 2.3 3.1 2.9 1.6 0.9 4.0 2.4 1.3 3.6 0.1 2.4 3.3 E € 413 PM
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Independent random samples from normal populations produced the results shown in the table to the right. Complete parts a through d below. a. Calculate the pooled estimate of o s = (Round to four decimal places as needed.) Sample 1 2.2 1.2 3.3 1.1 2.9 Sample 2 2.9 3.3 2.9 3.4