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:

$H_o: \mu \le 12$

$H_a: \mu > 12$

A sample of 25 provided a sample mean $\bar x=14$ and a sample standard deviation $s=4.32$. The degree of freedom is

A specific characteristic of a sample is known as a

A random sample of 17 values from a normal population has a mean of 105 cm and the sample standard deviation is 8.489. If normal population mean is 110 cm, then the upper limit of confidence at 5% level of significance is : (Given $t_{16}(0.05) = 2.12$)

Consider the following hypothesis test:

$H_0: \mu \leq 25$

$H_a: \mu > 25$

A sample of 25 provided a sample mean of 27.80. The population standard deviation is 5, then the value of the test statistic is

In reference to Inferential Statistics, for 20 degrees of freedom, the least statistical t-value among the given below is:

A measurable characteristic of a population is called _____.