Match the LIST-I with LIST-II

LIST-I	LIST-II
A. The percentage of all possible samples that can be expected to include the true population parameter	I. Standard error
B. The statistical measures computed from the sample observations alone	II. Null hypothesis
C. Assumtion made about a population parameter	III. Statistic
D. Standard deviation of the sampling distribution of a statistic	IV. Confidence level

Choose the correct answer from the options given below:

Consider the following hypothesis test:

$H_0: \mu \leq 16$

$H_a: \mu > 16$

A sample of 25 provided a sample mean $\bar{x} = 17$ and a sample standard deviation $s = 3.5$, then the value of the test statistic in $t$-test is:

Which of the following statements are correct?

(A) A sample size of 30 or more is considered to be sufficient to hold the central limit theorem.

(B) A survey done using a sample of the population has no margin of error.

(C) The measurable characteristic of a population is called parameter.

(D) The sample makes an inference about the population.

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:

A small start-up started making wafers and distributing them to the retailers. After a week, average sales per week were found to be 150 packets. So, to increase the sales, a strategy was used to change the packaging and add a chocolate worth Rs. 5 as a free gift with the pack. After this, a sample of 17 shops was taken, which showed that sales went up with mean 165 and a standard deviation of 25. Check whether the strategy was effective @5%, level of significance ? [Given $t_{16} (0.05) =2.12$]

Consider the following hypothesis test,

$H_0: \mu = 15$

$H_a: \mu ≠ 15$

A sample of 50 provided a sample mean of 14.15. If the sample standard deviation is 3, then the value of the test statistic t0-test is

A machine has been producing steel tubes of mean inner diameter of 2 cm. A sample of 10 tubes gives an inner diameter of 2.01 cm and a standard deviation of 0.063 cm. Test the hypothesis that the machine is working in the proper order at 5 % level of significance and answer, which of the following statements are correct?

[Given that : t₉(0.05) = 2.262]

(A) The value of the test statistic is t = 0.476.

(B) The null hypothesis is rejected at 5 % level of significance.

(C) The null hypothesis is accepted at 5 % level of significance.

(D) The degree of freedom is 10.

Choose the correct answer from the options given below: