Question

3.) For the data from $n = 10$ samples include the last 2 digits of you GCID as the last data value. You will construct from this a 95% two-sided confidence interval. Assume that the standard deviation is known, $\sigma_x = 28.366$ $x_i = \begin{bmatrix} 47 & 14 & 56 & 21 & 39 & 6 & 64 & 78 & 55 & 67 \end{bmatrix}$ a) Calculate the sample mean and sample standard deviation: $\bar{x} = 39.2$ $s_x = 27.769$ c.) What is your error rate? $\alpha = 0.05$ d.) Give the critical value for your interval (Indicate which type, t vs z. Select only one type. Include the subscript) $z_{\frac{\alpha}{2}} = -1.96$ e.) What is the standard error? $SE = 9.128$ f.) What is the margin of error? $e = 17.211$ g.) Give the confidence interval: "I am 95% confident that $\mu_x \in (15.989, 56.411).$" h.) If instead you did not know $\sigma_x$ what would be your critical value and standard error? $t_{\frac{\alpha}{2}} = 1.75$ $SE = 8.781$

          3.) For the data from $n = 10$ samples include the last 2 digits of you GCID as the last data
value. You will construct from this a 95% two-sided confidence interval. Assume that the
standard deviation is known, $\sigma_x = 28.366$
$x_i = \begin{bmatrix} 47 & 14 & 56 & 21 & 39 & 6 & 64 & 78 & 55 & 67 \end{bmatrix}$
a) Calculate the sample mean and sample standard deviation:
$\bar{x} = 39.2$
$s_x = 27.769$
c.) What is your error rate? $\alpha = 0.05$
d.) Give the critical value for your interval (Indicate which type, t vs z. Select only one
type. Include the subscript)
$z_{\frac{\alpha}{2}} = -1.96$
e.) What is the standard error? $SE = 9.128$
f.) What is the margin of error? $e = 17.211$
g.) Give the confidence interval:
"I am 95% confident that $\mu_x \in (15.989, 56.411).$"
h.) If instead you did not know $\sigma_x$ what would be your critical value and standard error?
$t_{\frac{\alpha}{2}} = 1.75$
$SE = 8.781$

$3.) For the data from n = 10 samples include the last 2 digits of you GCID as the last data value. You will construct from this a 95% two-sided confidence interval. Assume that the standard deviation is known, = 28.366 xi = < b m a t r i x > a) Calculate the sample mean and sample standard deviation: x̅ = 39.2 sx = 27.769 c.) What is your error rate? α = 0.05 d.) Give the critical value for your interval (Indicate which type, t vs z. Select only one type. Include the subscript) z(α)/(2) = -1.96 e.) What is the standard error? SE = 9.128 f.) What is the margin of error? e = 17.211 g.) Give the confidence interval: "I am 95% confident that $\mux \in (15.989, 56.411).$" h.) If instead you did not know what would be your critical value and standard error? t(α)/(2) = 1.75 SE = 8.781$

Added by Richard K.

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