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:

If we reject the null hypothesis when it is true, we might be making

The sampling distribution of the sample mean approaches a normal distribution as the sample size gets larger, no matter what is the shape of the population distribution.

The above statement is:

Which of the following is not a rejection rule for one sample t-test: (Where α is the level of significance)

(A) Reject null hypothesis $H_0$ : if $t \leq -t_\alpha$.

(B) Reject null hypothesis $H_0$ : if $t \geq -t_\alpha$.

(C) Reject null hypothesis $H_0$ : if $t \geq t_\alpha$.

(D) Reject null hypothesis $H_0$ : if $t \leq -t_{\alpha/2}$ or $t \geq t_{\alpha/2}$.

Choose the correct answer from the options given below:

If the average rainfall in a given area is 8 inches and the following table represents the average rainfall for four consecutive years, then the value of test statistic 't' 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 is NOT correct about the Central Limit Theorem?