Statistics & Applications PYQ — Page 5

Which of the following statements are correct? (A) In the sinking fund a fixed amount at regular intervals is deposited. (B) Sinking fund is a long-term account which can be closed any time. (C) In a saving account, any amount, any time can be deposited. (D) Sinking fund can be used only for the purpose it was created. Choose the correct answer from the options given below:

Which of the following are the assumptions underlying the use of t-distribution? (A) The variance of population is known. (B) The samples are drawn from a normally distributed population. (C) Sample standard deviation is an unbiased estimate of the population variance. (D) It depends on a parameter known as degree of freedom. Choose the correct answer from the options given below:

Match List-I with List-II | List-I | List-II | |---|---| | (A) The chance of observing a specific outcome in an experiment | (I) Parameter | | (B) A method used to estimate the population parameters | (II) Estimation | | (C) A value that describes an entire population | (III) Statistic | | (D) A measurable characteristic of a sample | (IV) Probability distribution | Choose the correct answer from the options given below:

A man plans to take a housing loan of Rs 99,53,000 from a bank costing 18% per annum compounded monthly. The loan is to be paid back in 30 years in equal monthly installments (EMI). The EMI by reducing balance method is: [Given $(1.015)^{-360} = 0.0047$]

Which of the following is NOT correct?

Which of the following are examples of irregular trends in a time series? (A) Decrease in production due to a sudden strike. (B) The rise in prices before festivals (C) Unusual rise in income of the printing press due to the announcement of an election. (D) Fall in crop yield due to floods. Choose the correct answer from the options given below:

When data of the variable is collected at distinct time intervals for a specified period of time, it is called

A specific characteristic of a sample is known as a

The original value of an asset minus the accumulated depreciation at a given date is known as

Match List-I with List-II | List-I | List-II | |---|---| | (A) An observed set of population selected for analysis | (I) Parameter | | (B) A specific characteristic of the population | (II) Hypothesis | | (C) A specific characteristic of the sample | (III) Statistic | | (D) A statement made about a population parameter for testing | (IV) Sample | Choose the correct answer from the options given below:

Which of the following statements are correct about the Compound Annual Growth Rate (CAGR)? (A) It can be used to compare historical returns on different investment portfolios. (B) It helps smooth returns when growth rates are expected to be volatile and inconsistent. (C) It is unable to track the performance of various business measures of one or multiple companies alongside one another. (D) It can be used to calculate the average growth of a single investment. Choose the correct answer from the options given below:

The effective rate equivalent to a nominal rate of 12% compounded quarterly is: (Given $(1.03)^4=1.1256$)

The rise in prices before Diwali is an example of

Mr. X purchased a house from a company for ₹ 7,00,000 and made a down payment of ₹ 1,50,000. He repays the balance in 25 years by equal monthly installments at 9 % per annum compounded monthly. The equated monthly installment (EMI) is: [Given that : (1.0075)⁻³⁰⁰ = 0.106]

Consider the following hypothesis $H_0: \mu = 315$ and $H_a: \mu \neq 315$ A sample of 60 provided a sample mean of 324.6. The standard deviation ($\sigma$) is 14 and level of significance $\alpha = 0.05$. Then the confidence interval is: [Given: $Z_{a/2}{\frac{14}{\sqrt60}} = 3.54$]

With reference to sampling, which of the following are correct? (A) Simple random sampling is probability sampling (B) Snow-ball sampling is non-probability sampling (C) Stratified sampling is probability sampling (D) Cluster sampling is non-probability sampling Choose the correct answer from the options given below:

Let us suppose that two independent random samples of sizes $n_1$ and $n_2$ has been drawn from the same normal population then degree of freedom of statistic t-distribution is:

Let $y = 138.86 + 7.64(x - 2021)$ be a straight line of best fit by using least square method to the following data: | Year(x) | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | |---|---|---|---|---|---|---|---| | Profit(y) (in Rs. '000) | 114 | 130 | 126 | 144 | 138 | 156 | 164 | Then the trend value for the year 2024 is:

Which of the following is not correct about the Compound Annual Growth Rate (CAGR)?

Ram had invested Rs. 15,000 in a mutual fund and the value of the investment at the time of redemption was Rs. 25,000. If the compound annual growth rate (CAGR) is 8.88%, then the number of years for which Ram has invested the amount is: [Given: $\log 1.089 \approx 0.0370$ and $\log 1.667 \approx 0.2220$]

Which of the following statements are correct? (A) A fund which is created to accumulate money over the years to discharge a future obligation is called a sinking fund. (B) The amount or future value of perpetuity is well-defined. (C) The sinking fund be used in any emergency. (D) An equated monthly installment is a fixed payment made by a borrower to a lender at a specific date every month to clear off the loan. Choose the correct answer from the options given below:

In the month of January, the number of cases diagnosed of influenza epidemic are given in the following table | Date | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |---|---|---|---|---|---|---|---| | Number of cases | 2 | 0 | 5 | 12 | 20 | 27 | 46 | The 3-day moving averages are:

If the price of a machinery costing ₹ 25000 is expected to have a useful life of 4 years and a scrap value of ₹ 5000. Then the annual depreciation by linear method is:

| Year (x) | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | |---|---|---|---|---|---|---|---| | Sales (in lakh Rs.) (y) | 65 | 68 | 70 | 72 | 75 | 67 | 73 | If $y = 70 + 0.964(x - 2014)$ be a straight line trend fitted by the method of the least squares to the above data, then the trend value for the year 2015 is: