A training coordinator collected the math test scores (out of 800800) of 1212 randomly selected applicants for a tech internship program. The test scores are assumed to follow a normal distribution, and the population standard deviation is known to be 108108. The scores are: 672,701,715,694,689,728,645,710,668,675,703,691672, 701, 715, 694, 689, 728, 645, 710, 668, 675, 703, 691Using a 90%90\% confidence level, construct a confidence interval to estimate the population mean score. Then, interpret the result.

(639.6,742.2)(639.6,742.2); this interval likely contains the population mean

(640.4,741.9)(640.4,741.9); this interval contains 90%90\% of individual scores

(638.2,742.7)(638.2,742.7); all future sample means must fall within this range

(639.2,742.6)(639.2,742.6); this is the range of all possible test scores

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1. Intro to Stats and Collecting Data(0)

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Levels of Measurement
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Intro to Collecting Data
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2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Time-Series Graph
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3. Describing Data Numerically(0)

Mean
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Median
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Mode
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Interpreting Standard Deviation
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Percentiles & Quartiles
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Hypergeometric Distribution
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Uniform Distribution
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Non-Standard Normal Distribution
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7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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Sampling Distribution of Sample Proportion
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Confidence Intervals for Population Proportion
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Chi Square Distribution
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Performing Hypothesis Tests: Means
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Performing Hypothesis Tests: Variance
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Critical Values and Rejection Regions
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Link Between Confidence Intervals and Hypothesis Testing
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Type I & Type II Errors
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Two Proportions
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Two Means - Unknown, Unequal Variance
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Two Means - Unknown, Equal Variance
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7. Sampling Distributions & Confidence Intervals: Mean

Confidence Intervals for Population Mean

7. Sampling Distributions & Confidence Intervals: Mean

Confidence Intervals for Population Mean: Videos & Practice Problems

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Problem 127Multiple Choice

A training coordinator collected the math test scores (out of $800$ ) of $12$ randomly selected applicants for a tech internship program. The test scores are assumed to follow a normal distribution, and the population standard deviation is known to be $108$ . The scores are: $672 comma 701 comma 715 comma 694 comma 689 comma 728 comma 645 comma 710 comma 668 comma 675 comma 703 comma 691$
Using a $90 percent sign$ confidence level, construct a confidence interval to estimate the population mean score. Then, interpret the result.

$open paren 640.4 comma 741.9 close paren$ ; this interval contains $90 percent sign$ of individual scores

$open paren 639.6 comma 742.2 close paren$ ; this interval likely contains the population mean

$open paren 638.2 comma 742.7 close paren$ ; all future sample means must fall within this range

$open paren 639.2 comma 742.6 close paren$ ; this is the range of all possible test scores

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