Question

ork Due Thu 05/31/2018 11:59p Score on last attempt:0.5 out of 1 (parts: 0.5/0.5, 0/0.5) Score in gradebook: 0.5 out of 1 (parts: ﹀ 0.5 /0.5, 010.5) Try another similar question, reattempt last question below, or select another question. In a survey, 10 people were asked how much they spent on their child's last birthday gift. The results were roughly bell shaped with a mean of $49 and standard deviation of $19. Construct a confidence interval at a 90% confidence level. Give your answers to one decimal place. 49 ± 29.9 Points possible: 1 This is attempt 2 of 4. Score on last attempt: (0.5, 0), Score in gradebook: (0.5, 0), Out of: (0.5, 0.5) Submit When you are done, click here to see a summary of your scores.

Answer 1

$\mathbf{SOLUTION}$

$\mathbf{given:}\bar x=49,s=19,n=10$

$t_{90\%,9\;df}=1.833$

$\mathbf{formula:}\bar x\pm t_{\frac{\alpha }{2}}*\left \{ \frac{s}{\sqrt{n}} \right \}$

$49 \pm 1.833*\left \{ \frac{19}{\sqrt{10}} \right \}$

$\dpi{100} \fn_cm {\color{Red} 49 \pm 11.0}$