During a time of national crisis, households in America follow internet news mor

Question

During a time of national crisis, households in America follow internet news more closely than they normally do. Assume that internet viewing times are normally distributed. A group analyzing the internet viewing habits during a recent crisis sampled 16 households and produced a mean viewing time for websites of 30.2 hours per week with a standard deviation of 16.4. Use this information to answer the following questions.

If the research question is, "Do the data support the idea that the mean internet viewing time exceeds the mean of 21.18 hours per week that is typically observed in American households?" then the alternative hypothesis is a statement about the mean exceeding what value?

State the numerical value of the test statistic that would be used to test the hypothesis that the mean is equal to 21.18 hours per week. State your answer with one digit past the decimal.

What is the name of the distribution that represents the set of possible test statistic values if in fact the mean internet viewing time per week during a time of national crisis is 21.18 hours per week?

The null hypothesis in this situation would be rejected at the 1% level if the test statistic is more than what value?

Explanation / Answer

Here n =16, mean=30.2 and sd=16,4

H0: mean=21.8 and H1:mean>21.8

Here as n is<30 we will use t test

tcal=xbar-mu0/(s/sqrt(n))=30.2-21.8/16.4/sqrt(16)=2.2

t(15), it represents if H0 is true then mu=mu0 and tcal~t(15)

Here alpha=0.1 so seeing t table for t(15) with alpha=0.1 we get t(15)=2.602

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