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Instruction 10-2
a Researcher Randomly Sampled 30 Graduates of an MBA

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Instruction 10-2
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below.
 Hypothesised Difference 0Level of Significance 0.05 Population 1 Sample  Sample Size 18 Sample Mean 48266.7 Sample Standard Deviation 13577.63 Population 2 Sample  Sample Size 12 Sample Mean 55000 Sample StandardDeviation 11741.29 Differencein Sample Means 6733.3t-Test Statistic 1.40193Lower-Tail Test Lower Critical Value 1.70113p-Value 0.085962\begin{array}{|l|r|}\hline \text { Hypothesised Difference } & 0 \\\hline \text {Level of Significance } & 0.05 \\\hline \text { Population 1 Sample } &\\\hline \text { Sample Size } & 18 \\\hline \text { Sample Mean } & 48266.7 \\\hline \text { Sample Standard Deviation } & 13577.63 \\\hline \text { Population 2 Sample } &\\\hline \text { Sample Size } & 12 \\\hline \text { Sample Mean } & 55000 \\\hline \text { Sample StandardDeviation } & 11741.29 \\\hline \text { Differencein Sample Means } & -6733.3 \\\hline t \text {-Test Statistic } & -1.40193\\\hline \text {Lower-Tail Test } & \\\hline \text {Lower Critical Value }& -1.70113 \\\hline \text {p-Value }& 0.085962\\\hline \end{array}
-Referring to Instruction 10-2,what is the 95% confidence interval estimate for the difference between two means?

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Definitions:

Maturity

The date on which the principal amount of a financial instrument, such as a bond or loan, is due to be paid in full.

Current Price

Current Price is the present market price at which an asset or a service can be bought or sold.

Nominal Yield

The nominal yield of a bond or other fixed-income investment is the interest rate stated on the financial instrument, which does not account for inflation or the compounding of interest.

Semiannual Interest Payments

These are interest payments made twice a year on a financial instrument, such as a bond.

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