1. Is the population standard deviation,, known?
The standard deviation is not known.
2. Are either of the requirements of (a) normality or (b) sample size > 30 met by the data set? To support your normality assessment, create (and attach to your report) a histogram, boxplot, and QQ plot.
While the same size is not greater than 30, the requirements for normality are met as shown on the box plot and QQ plot. The histogram does not necessarily show a normal distribution and I attribute that to the small sample size.
3. Considering your answers to questions 1 and 2, what hypothesis test should you use (t test, z test, or bootstrapping?)
Since the standard deviation is not known and the sample is normally distributed we will conduct a t test.
4. Is this a onetailed or twotailed test?
This is a onetailed test. (left tailed)
5. Write the claim in sentence form.
Students who watch at least 3 hours of television a night will read less than 52 words per minute.
6. Write the claim in mathematical form.
µ < 52
7. Which hypothesis does the claim represent?
The claim represents the alternative hypothesis.
8. Write the alternative and null hypotheses using correct notation.
a. H_{1} : µ = 52
b. H_{0} : µ < 52
9. What is your significance level, a ?
a = 0.05
10. Based on your answers to questions 3, 8, and 9, what is/are the critical value(s) (t or z)?
t = 3.813
11. From your sample data, what are the values for each of the following?
a. mean = 45.2667
b. degrees of freedom = N = 15 / N – 1 = 14 DF = 14
c. standard error = 1.766
d. test value (t or z) = 1.7613
e. pvalue= .001
12. Based on the results of the hypothesis test, do you reject the null or fail to reject the null? Explain your decision.
Based on the results I would reject the null hypothesis because the test statistic of t = 3.813 falls within the critical region.
13. Using proper notation in reference to the claim, write your conclusion and results as if they were going to be reported in a manuscript.
There is enough evidence to reject H_{1} : µ = 52 when a student watches television for at least 3 hours a night since t = 3.813 and falls in the critical region.
Summary statistics:

One sample T hypothesis test:
μ : Mean of variable H_{0} : μ = 52 H_{A} : μ < 52 Hypothesis test results:

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Mar 25, 2018
Great job, Jed! You reversed part 10 and 11(d), and state your conclusion in a way that will be understood by anyone: "There is sufficient evidence to support the claim that excessive television watching decreases reading ability." Really nice job, here. You get it.