Question

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of 4 minutes. Test the hypothesis that o = 4 against the alternative that o<4 if a random sample of the test times of 25 high school seniors has a standard deviation s = 2.89. Use a 0.10 level of significance. Click here to view page 1 of the Chi-Square Critical Values Table. Click here to view page 2 of the Chi-Square Critical Values Table. Identify the null and alternative hypotheses. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. Ho: 62 OB. Ho: 0? < H₂0²> H₂:0² Oc. Họ cò= O D. Ho: 02> H₂.0². H₂:0²=

Answer 1

Solution:Given:Test the hypothesis that $\sigma$ =4 against the alternative hypothesis $\sigma$ <4

Here we need to find $\sigma$ ²=4²=16

So the null hypothesis is $\sigma$ ²=16 and alternative hypothesis is $\sigma$ ²<16

Therefore option C is the correct answer.

Ho:$\sigma$²=16

H1:$\sigma$²<16