Statistics & Business Quiz
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Statistics & Business Quiz

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@EruditeMilkyWay2123

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Questions and Answers

What was the total number of EAzs£ in 2018?

  • 1000
  • 2000 (correct)
  • 1500
  • 2500

    • Which category showed a 15% increase from 2012 to 2018?

  • DºÁgÀ (correct)
  • §mÉÖ
  • ªÀ¸w À
  • EvÀgÉ (correct)

    • In which year did §mÉÖ reach 3500?

  • 2015
  • 2012
  • 2018 (correct)
  • 2010

    • Which of the following categories had the highest value in 2012?

    <p>ªÀ¸w À</p> Signup and view all the answers

    What percentage increase did the category EAzs£ experience from 2012 to 2018?

    <p>10%</p> Signup and view all the answers

    Which category had the lowest value in 2012?

    <p>EAzs£</p> Signup and view all the answers

    From 2012 to 2018, which category had the largest total value in 2018?

    <p>ªÀ¸w À</p> Signup and view all the answers

    What numerical increase did DºÁgÀ experience from 2012 to 2018?

    <p>1000</p> Signup and view all the answers

    What was the quantity of rice sold in the current year?

    <p>8</p> Signup and view all the answers

    Which product saw an increase in price from the base year to the current year?

    <p>Oil</p> Signup and view all the answers

    What was the sales figure for the year 2013?

    <p>126 thousand Rs</p> Signup and view all the answers

    What was the production in thousand quintals for the year 2018?

    <p>92</p> Signup and view all the answers

    What is the formula used to fit a straight line trend in the given dataset?

    <p>Y = a + bx</p> Signup and view all the answers

    In which year did sales last exceed 130 thousand Rs?

    <p>2012</p> Signup and view all the answers

    How many units of Dhal were sold in the current year?

    <p>2</p> Signup and view all the answers

    What is the mean of a Hypergeometric distribution with parameters a = 4, b = 6, and n = 5?

    <p>2.5</p> Signup and view all the answers

    What was the quantity of Wheat sold in the base year?

    <p>8</p> Signup and view all the answers

    Which hypothesis correctly represents the null hypothesis in the context given?

    <p>H0: μ = 50</p> Signup and view all the answers

    What is indicated by a transportation problem being balanced?

    <p>Supply equals demand</p> Signup and view all the answers

    Which of the following represents a predictable variation of a time series?

    <p>Seasonal variation</p> Signup and view all the answers

    In a random sample of size 36 with a standard deviation of 4, what is the standard error of the sample mean?

    <p>1.33</p> Signup and view all the answers

    Which of the following is NOT an assumption of interpolation and extrapolation?

    <p>The data follows a normal distribution.</p> Signup and view all the answers

    What does the upper control limit for an np-chart calculate?

    <p>Control limits for defectives</p> Signup and view all the answers

    What does a point estimation provide?

    <p>A single best estimate</p> Signup and view all the answers

    What is the null hypothesis represented in the content?

    <p>H0: μ = 50</p> Signup and view all the answers

    Which of the following is a statistical notation mentioned in the content?

    <p>n = 5</p> Signup and view all the answers

    What is NOT a reason for performing a statistical test as indicated in the text?

    <p>To calculate the sample variance</p> Signup and view all the answers

    Which statement about alternative hypotheses is accurate?

    <p>H1: μ &gt; 50 indicates a direction in testing.</p> Signup and view all the answers

    What does the notation 'f ¥ÀjºÁgÀªÀÅ' represent?

    <p>Type of statistical test</p> Signup and view all the answers

    In the context provided, what does μ typically represent?

    <p>Population mean</p> Signup and view all the answers

    Which of the following hypotheses implies a greater than condition?

    <p>H1: μ &gt; 50</p> Signup and view all the answers

    Which of the following best describes the term 'P'?

    <p>Probability of a type I error</p> Signup and view all the answers

    What is the equation representing 'z' in terms of 'x' and 'y'?

    <p>z = 10x + 5y</p> Signup and view all the answers

    Which of the following inequalities is NOT part of the given constraints?

    <p>3x + 2y ≥ 10</p> Signup and view all the answers

    What do the variables 'x' and 'y' represent in the context of the equations?

    <p>Unknowns that need to be solved in a linear equation</p> Signup and view all the answers

    Which of the following statements is true regarding the inequalities provided?

    <p>The solution set is restricted to positive values only.</p> Signup and view all the answers

    In the context of the equations, what does the term 'P' refer to?

    <p>An objective function to be maximized or minimized</p> Signup and view all the answers

    Which of the following pairs of inequalities provides a feasible region for the problem?

    <p>2x + y ≤ 8 and x ≥ 0</p> Signup and view all the answers

    What type of mathematical system do the equations presented form?

    <p>A linear equation system</p> Signup and view all the answers

    If 'z' is maximized at the endpoints of the feasible region, what scenario is being utilized?

    <p>A corner-point solution method</p> Signup and view all the answers

    Study Notes

    Statistics & Business

    • Fertility is the ability of a woman to produce offspring.
    • The predictable variation of time series is called a trend.
    • The mean of a Bernoulli distribution is equal to its probability of success, and the variance is equal to the product of the probability of success and the probability of failure.
    • The null hypothesis is a statement made about a population parameter that is assumed to be true.
    • A transportation problem is balanced when the total supply is equal to the total demand.

    Business Cycles

    • A business cycle is a cyclical pattern of economic activity characterized by four phases: expansion, peak, contraction (recession), and trough.

    Time Series Analysis

    • Interpolation is the process of estimating a value within a known set of data points.
    • Extrapolation is the process of estimating a value outside of a known set of data points.

    Probability Distributions

    • The mean of a hypergeometric distribution is calculated using the formula: n * a / (a + b).
    • The standard deviation of a chi-square distribution with 8 degrees of freedom is equal to the square root of 16.
    • The standard error of the sample mean is the standard deviation of the population divided by the square root of the sample size.

    Estimation & Hypothesis Testing

    • Point estimation is a single-point estimate of a population parameter.
    • Interval estimation provides a range within which the true population parameter is believed to lie.

    Quality Control

    • The upper control limit (UCL) for an np-chart is calculated using the formula: np + 3 * sqrt (np(1-p)).

    Transportation Problem

    • A transportation problem is non-degenerate if the number of occupied cells (cells with non-zero allocations) is equal to the number of rows plus the number of columns minus one.

    Cost of Living Index

    • A cost of living index measures the relative cost of living in different periods.
    • To calculate the cost of living index, the weighted average of price relatives is calculated.

    Trend Analysis

    • Moving averages are used to smooth out fluctuations in data and identify the trend.
    • A straight line trend can be fitted to a time series data using the formula: Y = a + bx. This is also called linear regression.

    Population Dynamics

    • In a population, the increase in birth rate or a decrease in death rate can lead to population growth.

    Sampling Distribution

    • The sampling distribution of the sample mean is the distribution of all possible sample means of a given size.

    Decision Analysis

    • In hypothesis testing, the alternative hypothesis is the statement that is being tested against the null hypothesis.
    • Decision analysis uses a decision tree to analyze possible outcomes and associated costs, helping in decision-making.

    Linear Programming

    • A linear programming problem involves maximizing or minimizing an objective function subject to constraints.
    • In a linear programming problem, constraints are frequently expressed as inequalities like 2x + 3y ≥ 12 or 2x + y ≥ 8, indicating a minimum value for the expression, with x and y being variables.

    Applications in Business

    • Businesses use decision trees to make strategic decisions, often in conjunction with statistical analysis.

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    Statistics II PUC Model Question Paper 2023-24 PDF

    Description

    Test your knowledge on key concepts in statistics and their applications in business. This quiz covers essential topics such as probability distributions, business cycles, and time series analysis. Perfect for students and professionals looking to solidify their understanding of statistical methods in a business context.

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