1. The mean salary of federal government employees on the General Schedule is $59,593. The average salary of 30 state employees who do similar work is $58,800 with σ= $1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees? Show all of your steps.2. The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At α= 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington? Also state the p-value of the test statistic. Show all of your steps.3. Find the p-value, using the following information. The test statistic in a left-tailed test is z = -1.25.4. Find the p-value, using the following information. The test statistic in a two-tailed test is z = 1.75.5. Find the p-value, using the following information. Alternative hypothesis: , the test statistic is z = -3.35.6. Find the p-value, using the following information. Alternative hypothesis: p > 1/4, the test statistic is z = 2.30.7. Let the p-value be equal to 0.045. Use a 0.05 significance level to reject or fail to reject the null hypothesis.8. Let the p-value be equal to 0.045. Use a 0.01 significance level to reject or fail to reject the null hypothesis.

Option #1: Springdale Shopping SurveyThe major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to provide information about themselves and their shopping habits. The data are provided in the file SHOPPING. The variables in the survey can be found in the file CODING.We will concentrate on variables 18-25, which reflect how important each of eight different attributes is in the respondent's selection of a shopping area. Each of these variables has been measured on a scale of 1 (the attribute is not very important in choosing a shopping area) to 7 (the attribute is very important in choosing a shopping area). The attributes being rated for importance are listed below. Examining the relative importance customers place on these attributes can help a manager "fine-tune" his or her shopping area to make it a more attractive place to shop.18 Easy to return/exchange goods19 High quality of goods20 Low prices21 Good variety of sizes/styles22 Sales staff helpful/friendly23 Convenient shopping hours24 Clean stores and surroundings25 A lot of bargain salesPerform the following operations for variables 18-25:Compute descriptive statistics for each variable along with an explanation of what the descriptive statistics tell us about the variable. This will include the mean, mode, range, standard deviation, and the five-number summary (minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum). Be sure to show each calculation in your spreadsheet.Are there any data points for any of the variables that can be considered outliers? If there are any outliers in any variable, list them and state for which variable they are an outlier. Use the z-score method to determine any outliers for this question. Be sure to show each z-score calculation in your spreadsheet for each variable.Based on the results for question 1, which attributes seem to be the most important and the least important in respondents' choice of a shopping area? Which items from #1 did you use to decide on the least and most important attributes, and why?Determine the correlation coefficient between variable 19 and variables 21-25. Provide an explanation of these relationships. Show your calculations for each correlation coefficient within the spreadsheet.Requirements:Your paper should be 2-3 pages in length (not counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library is a great place to find resources. Your textbook is a credible resource.Include a title page, introduction, body, conclusion, and a reference page.The introduction should describe or summarize the topic or problem. It might discuss the general applications of the topic or it might introduce the unique terminology associated with the topic.The body of your paper should address the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from your analysis in completing the assignment. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.Include any tables of data or calculations, calculated values, and/or graphs referenced in the paper. (Note: The minimum required length excludes any tables or graphs.)Document formatting, citations, and style should conform to the CSU Global Writing Center (Links to an external site.). A short summary containing much that you need to know about paper formatting, citations, and references is contained in the Template Paper (Links to an external site.). In addition, information in the CSU Global Writing Center (Links to an external site.) has many helpful areas (Writing Tips, Template Examples/Papers Essays, Figures and Tables, and others).NOTE: You MUST submit your Excel file with your report. This will allow you to qualify for consideration for partial credit if any errors are found in your report.

Which term best describes the expression?monomialbinomialtrinomialnot a polynomial==========================What is the degree of the term below?5x30123=======================What is the degree of the polynomial?6n3 - n2p22345=================Arrange the polynomial so that the powers of x are in descending order.8x - 9x2y + 7y2 - 2x4-2x4 - 9x2y + 7y2 + 8x-2x4 - 9x2y + 8x + 7y22x4 - 9x2y + 8x - 7y27y2 - 9x2y - 2x4 + 8x=================================Find the sum of the polynomials.(6n2 - 4) + (-2n2 +9)4n4 + 54n2 + 516n + 59n2============================Find the sum of the polynomials.(x + 5) + (2y + 4x - 2)10xy5x + 2y + 35x + 2y - 75x + 7y - 2===========================Find the difference of the polynomials.(5x + 5xy + 3y) - (3y + 6x + 8xy)-x - 3xy-4xy11x + 13xy11x + 13xy + 6y=================================Find the difference of the polynomials.(4g3 - 5g) - (2g3 +4g)2g3 - g2g3 - 9g-g-7g3=============================Evaluate P(-3) if P(x) = -x3 -2x2 + 41-411349==================================The Millau Viaduct, at 1125 ft, is the highest bridge in the world and overlooks the river Tarn in France. An object is dropped from the top of the bridge. Neglecting air resistance, the height of the object at time t seconds is given by the polynomial function P(t) = -16t2+ 1125. Find the height of the object when t = 6 seconds.933 ft.1177 ft.549 ft.1317 ft.