The homework policy at an elementayr school is that students in 5th grade should spend an average of 40 minutes a night doing homework. One of the 5th grade teachers thinks that his students are spending more than 40 minutes a night on average.  To test this, he collected a random sample of 25 students from a normally distributed population. The sample mean resulted in 44 minutes a night with a sample standard deviation of 7 minutes. a) write the null hypothesis using correct symbols write the alternative hypothesis using correct symbols b) state is the conditions (be specific, not just a yes/no answer) are met to perfom a signifigance test for the true mean of time spent on homework: c) calculate the test statistic (t value

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The homework policy at an elementayr school is that students in 5th grade should spend an average of 40 minutes a night doing homework. One of the 5th grade teachers thinks that his students are spending more than 40 minutes a night on average.  To test this, he collected a random sample of 25 students from a normally distributed population. The sample mean resulted in 44 minutes a night with a sample standard deviation of 7 minutes.

a) write the null hypothesis using correct symbols

write the alternative hypothesis using correct symbols

b) state is the conditions (be specific, not just a yes/no answer) are met to perfom a signifigance test for the true mean of time spent on homework:

c) calculate the test statistic (t value):

d) use the t table to find a range (as an inequality) of the probabilty balue:

e) concusion about the alternative hypothesis and null hypothesis if a=0.05

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