# Hypothesis Testing & Confidence Interval

Consider that 10 observations were selected from a normal population whose variance is 64. Observations are: 58, 62, 45, 50, 59, 65, 39, 40, 41 and 52. Check to 5% (.05) level of significance if there is sufficient evidence to conclude that the average population is 45.

Calculate the sample average.

Calculate the standard error.

Formulate the null hypothesis and the investgacion.

Calculate the value of the test statistic (T-Statistics).

Calculate the confidence interval.

Interpreting the results

https://brainmass.com/statistics/confidence-interval/hypothesis-testing-confidence-interval-sample-errors-347053

#### Solution Preview

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Null Hypothesis

Consider that 10 observations were selected from a normal population whose variance is 64. Observations are: 58, 62, 45, 50, 59, 65, 39, 40, 41 and 52. Check to 5% (.05) level of significance if there is sufficient evidence to conclude that the average population is 45.

Calculate the sample average.

Sample average = = 51.1

Calculate the standard error.

Sample standard deviation, s =

= 9.62000231

Standard error = = 3.04211184

Formulate ...

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis and confidence interval. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.