Question

1. claim: the average number of times people rehearse a joke before telling it to friends is more than 7. so your hypotheses are: $h_0: \mu = 7$ $h_a: \mu > 7$ you surveyed 50 people and found that the average number of rehearsals was 9 with a standard deviation of 4. fill in the following (if you have to round, then round to 2 decimal places) stat= null= se= t.s.= assuming the null is true, would this be weird? type yes or no

Explanation:

Step1: Identify values

$\bar{x}=9$, $\mu_0=7$, $s=4$, $n=50$

Step2: Calculate SE

$SE=\frac{s}{\sqrt{n}}=\frac{4}{\sqrt{50}}\approx0.57$

Step3: Calculate test statistic

$t=\frac{\bar{x}-\mu_0}{SE}=\frac{9-7}{0.57}\approx3.51$

Step4: Determine null value

null = $\mu_0=7$

Step5: Check "weirdness"

$t\approx3.51$ is extreme, so yes

Answer:

stat=3.51
null=7
SE=0.57
t.s=3.51
Assuming the null is true, would this be weird? yes