The marks obtained by five students in a test of Applied Mathematics carrying 100 marks are 49, 58, 67, 92, 99. Then the point estimate of the population mean is

Which of the following are correct?

(A) The probability curve in t-distribution is symmetric about the line t=0.

(B) t-axis is an asymptote of the curve.

(C) The variable t of t-distribution ranges from $-\infty$ to $\infty$

(D) As the number of degrees of freedom increases, the t-distribution curve moves closer to the binomial distribution.

Choose the correct answer from the options given below:

Consider a random sample of 10 students having 116 cm as mean height and standard deviation as 9.798 cm. If the suggested mean height of the students population is 110 cm then the t-test statistic of the sample is:

[given $\frac{\sqrt{10}}{9.798} = 0.3227$]

For 95% confidence interval for a population mean reported to be 132 to 142 with standard deviation $\sigma = 17.85$ then the sample size used in this case, is:

[Given that: $Z_{0.125} = 1.96$]

Which of the following points describe the concept of population in inferential statistics ?

A. It is a collection of all elements having same characteristics.

B. A survey done on the total population is not accurate.

C. Population focuses on the identification of the characteristic.

D. Population focuses on drawing inference about the sample.

Choose the correct answer from the options given below:

If the sample size is 45, then the degree of freedom is equal to

A measurable characteristic of a population is called _____.