For a data set obtained from a sample of size n = 64 with x = 44.25, it is known that o = 5.5. (a) What is the point estimate of u? H= i (b) Find z score corresponding to a 95% confidence level, Za/2. Recall that (1 - a)100% = 95%. Give your answer with two decimal places. Z= i (c) Construct a 95% confidence interval for u. Round the answers to four decimal places. <μ< i (d) What is the margin of error in part (c)? Round the answer to four decimal places. i E= i

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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For a data set obtained from a sample of size \( n = 64 \) with \( \bar{x} = 44.25 \), it is known that \( \sigma = 5.5 \).

(a) What is the point estimate of \( \mu \)?

\[ \mu = \, \boxed{} \]

(b) Find \( z \) score corresponding to a 95% confidence level, \( z_{\alpha/2} \). Recall that \( (1 - \alpha)100\% = 95\%\).

Give your answer with two decimal places.

\[ z = \, \boxed{} \]

(c) Construct a 95% confidence interval for \( \mu \).

Round the answers to four decimal places.

\[ \boxed{} < \mu < \boxed{} \]

(d) What is the margin of error in part (c)?

Round the answer to four decimal places.

\[ E = \, \boxed{} \]
Transcribed Image Text:For a data set obtained from a sample of size \( n = 64 \) with \( \bar{x} = 44.25 \), it is known that \( \sigma = 5.5 \). (a) What is the point estimate of \( \mu \)? \[ \mu = \, \boxed{} \] (b) Find \( z \) score corresponding to a 95% confidence level, \( z_{\alpha/2} \). Recall that \( (1 - \alpha)100\% = 95\%\). Give your answer with two decimal places. \[ z = \, \boxed{} \] (c) Construct a 95% confidence interval for \( \mu \). Round the answers to four decimal places. \[ \boxed{} < \mu < \boxed{} \] (d) What is the margin of error in part (c)? Round the answer to four decimal places. \[ E = \, \boxed{} \]
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