Answer :
Answer:
Step-by-step explanation:
Yes there should be an improvment. they should remember some of the answers to the puzzle they did the first time, so the second time, it would be faster and easier.
Since the p-value was of 0.12, which is greater than the standard significance level of 0.05, there is not enough evidence to conclude that there was an improvement.
At the null hypothesis, it is tested if there was no improvement, that is, the time [tex]\mu[/tex] of the second attempt is the same as the time [tex]\mu_1[/tex] of the first attempt, hence:
[tex]H_0: \mu = \mu_1[/tex]
At the alternative hypothesis, it is tested if there was an improvement, that is, the time [tex]\mu[/tex] of the second attempt is less than the time [tex]\mu_1[/tex] of the first attempt, hence:
[tex]H_0: \mu < \mu_1[/tex]
The p-value is of 0.12 > 0.05, which means that we do not reject the null hypothesis, hence there is not enough evidence to conclude that there was an improvement.
A similar problem is given at https://brainly.com/question/22968227