CUET Mathematics 2025 14 May Shift 2 PYQs

The following data are from a random sample: 5,8,10,7,10,14, then the point estimate of the population standard deviation is

When the two independent small samples of sizes $n_1$ and $n_2$ with means $\bar{x}_1$ and $\bar{x}_2$ respectively are drawn from populations with identical population variances, the test-statistic is computed as

Consider the following hypothesis

$H_0: \mu = 315$ and $H_1: \mu \neq 315$

A sample of 60 provided a sample mean of 324.6. The standard deviation ($\sigma$) is 14 and level of significance $\alpha = 0.05$. Then the confidence interval is:

[Given: $Z_{0.5}\sqrt{\frac{14}{60}} = 3.54$]