The claim is that for a smartphone​ carrier's data speeds at​ airports, the mean= 17.00 Mbps. The sample size is n = 20 and the test statistic is t = 1.874

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Answer:

The null and alternative hypotheses are:

[tex]H_{0}:\mu=17.00[/tex]

[tex]H_{a}:\mu \neq 17.00[/tex]

We are given that the test statistic is:

[tex]t=1.874[/tex]

Also we are given the sample size [tex]n=20[/tex]

Now we have to find the t critical value at 0.05 (assumed) significance level for [tex]df=n-1=20-1=19[/tex]

Using the t distribution table, we have:

[tex]t_{0.05,19}=\pm2.093[/tex]

Conclusion: Since the t statistic does not lie outside the t critical values, therefore, we fail to reject the null hypothesis and conclude that there is sufficient evidence to support the claim that a smartphone carrier's mean data speed at airports is 17.00 Mbps.