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CUET Mathematics 2023 PYQs23 May Shift 3. Free, no login required.

Applied Mathematics

past year questions, CUET Mathematics 2023 23 May Shift 3

Inferential Statistics

past year questions, Applied Mathematics, CUET Mathematics 2023 23 May Shift 3

Hard

applied

The following data is available for two independent sample:

SAMPLE-1SAMPLE-2
sample size810
sample mean191199
sample standard deviation1012

Then the value of t-statistic is :

Solution

✅ Correct Option: 2

Pooled variance sp2=[(n1−1)s12+(n2−1)s22]/(n1+n2−2)=[7(100)+9(144)]/16=1996/16≈124.75s_p^2 = [(n_1-1)s_1^2 + (n_2-1)s_2^2]/(n_1+n_2-2) = [7(100) + 9(144)]/16 = 1996/16 \approx 124.75, so sp≈11.17s_p \approx 11.17. Standard error =sp1/n1+1/n2=11.170.225≈5.30= s_p\sqrt{1/n_1 + 1/n_2} = 11.17 \sqrt{0.225} \approx 5.30. Then t=(191−199)/5.30≈−1.51t = (191 - 199)/5.30 \approx -1.51, closest to −1.54-1.54.

Related questions:

2023: 22 May Shift 3

A simple random sample consists of five observations 2, 4, 7, 12, 15. The point estimate of the population mean is :

2023: 15 June Shift 2

Match List - I with List - II.

List - IList - II
(A) A special characteristic of a population is called(I) Sample Size
(B) The number of statistical individuals in a sample is called(II) Statistic
(C) A special characteristic of a sample is called(III) Standard error
(D) The standard deviation of the sampling distribution of a statistic is known as its(IV) Parameter

Choose the correct answer from the options given below :

2023: 7 June Shift 1

Consider the following hypothesis test : H0:μ≤24H_0 : \mu \leq 24, Ha:μ>24H_a : \mu > 24

A sample of 64 provided a sample mean of 24.3 . The population standard deviation is 2. The value of the test statistic is :

2026: 21 May Shift 2

Match the LIST-I with LIST-II

LIST-I (Term)LIST-II (Definition)
A. Confidence levelI. In a confidence interval, the range of values, above and below the sample statistic.
B. Margin of errorII. It is the probability of making Type-I error, when null hypothesis is true as an equality.
C. Level of significanceIII. It involves the use of sample data to calculate a single value of an unknown population parameter.
D. Point estimationIV. It describes the uncertainty of a sampling method.

Choose the correct answer from the options given below:

2023: 15 June Shift 2

A simple random sample consists of four observations 7, 8, 10, 7. The point estimate of population standard deviation is :

2023: 22 May Shift 3

Match List - I with List - II.

List - IList - II
(A)Left tailed test(I)H0:μ=50H_0 : \mu = 50
(B)Two tailed test(II)H1:μ>50H_1 : \mu > 50
(C)Null hypothesis(III)H1:μ<50H_1 : \mu < 50
(D)Right tailed test(IV)H1:μ≠50H_1 : \mu \neq 50

Choose the correct answer from the options given below :

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