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The null hypothesis could be that the 40 students are a sample from the same (or similar) population.

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Q: What is the null hypothesis of an overall mean for a score of 85 with a standard deviation of 10 and the mean for 40 students is 90.?
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In a standard normal distribution what is the value of the mean and standard deviation?

idk about normal distribution but for Mean "M" = (overall sum of "x") / "n" frequency distribution: 'M' = Overall sum of (' x ' * ' f ') / overall sum of ( ' f ' ) M = Mean x = Mid Point f = frequiency n = number of variables ALL FOR STANDARD DEVIATION * * * * * A general Normal distribution is usually described in terms of its parameters, and given as N(mu, sigma2) where mu is the mean and sigma is the standard deviation. The STANDARD Normal distribution is the N(0, 1) distribution, that is, it has mean = 0 and variance (or standard deviation) = 1.


What happen to confidence interval if increase sample size and population standard deviation simultanesous?

The increase in sample size will reduce the confidence interval. The increase in standard deviation will increase the confidence interval. The confidence interval is not based on a linear function so the overall effect will require some calculations based on the levels before and after these changes. It would depend on the relative rates at which the change in sample size and change in standard deviation occurred. If the sample size increased more quickly than then standard deviation, in some sense, then the size of the confidence interval would decrease. Conversely, if the standard deviation increased more quickly than the sample size, in some sense, then the size of the confidence interval would increase.


What makes the range less desirable than the standard deviation as a measure of dispersion?

Range can include outliers that are not normal values and can skew overall data. Most relevant values can be found within one or two standard deviations on a normal curve.


Mutual funds performance is best measured by?

There are a few key ways to measure the performance of mutual funds: Total return - The total return of a mutual fund includes dividends, capital gains distributions, and the change in net asset value (NAV) per share over a given time period. This provides the most complete picture of a fund's overall performance. Sharpe ratio - The Sharpe ratio measures a fund's return relative to the amount of risk taken to generate that return. It provides insight into the fund's risk-adjusted returns. The higher the Sharpe ratio, the better the risk-adjusted returns. Standard deviation - Standard deviation measures the volatility or variability of a fund's returns over time. A higher standard deviation indicates wider fluctuations in returns from year to year. This helps gauge the fund's risk levels. Benchmark comparisons - Comparing a mutual fund's returns to an appropriate benchmark index (e.g. S&P 500 index for large-cap US equity funds) provides perspective on how well the fund performed versus the broader market. Outperforming the benchmark generally indicates good fund management. In summary, total return, risk-adjusted return metrics like Sharpe ratio, volatility measures like standard deviation, and benchmark comparisons together provide the most comprehensive view of a mutual fund's overall performance. These metrics taken together can determine if a fund successfully met its investment objective over a period.


How is a conclusion different from data analysis?

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Related questions

In a standard normal distribution what is the value of the mean and standard deviation?

idk about normal distribution but for Mean "M" = (overall sum of "x") / "n" frequency distribution: 'M' = Overall sum of (' x ' * ' f ') / overall sum of ( ' f ' ) M = Mean x = Mid Point f = frequiency n = number of variables ALL FOR STANDARD DEVIATION * * * * * A general Normal distribution is usually described in terms of its parameters, and given as N(mu, sigma2) where mu is the mean and sigma is the standard deviation. The STANDARD Normal distribution is the N(0, 1) distribution, that is, it has mean = 0 and variance (or standard deviation) = 1.


How standard deviation and Mean deviation differ from each other?

There is 1) standard deviation, 2) mean deviation and 3) mean absolute deviation. The standard deviation is calculated most of the time. If our objective is to estimate the variance of the overall population from a representative random sample, then it has been shown theoretically that the standard deviation is the best estimate (most efficient). The mean deviation is calculated by first calculating the mean of the data and then calculating the deviation (value - mean) for each value. If we then sum these deviations, we calculate the mean deviation which will always be zero. So this statistic has little value. The individual deviations may however be of interest. See related link. To obtain the means absolute deviation (MAD), we sum the absolute value of the individual deviations. We will obtain a value that is similar to the standard deviation, a measure of dispersal of the data values. The MAD may be transformed to a standard deviation, if the distribution is known. The MAD has been shown to be less efficient in estimating the standard deviation, but a more robust estimator (not as influenced by erroneous data) as the standard deviation. See related link. Most of the time we use the standard deviation to provide the best estimate of the variance of the population.


What happen to confidence interval if increase sample size and population standard deviation simultanesous?

The increase in sample size will reduce the confidence interval. The increase in standard deviation will increase the confidence interval. The confidence interval is not based on a linear function so the overall effect will require some calculations based on the levels before and after these changes. It would depend on the relative rates at which the change in sample size and change in standard deviation occurred. If the sample size increased more quickly than then standard deviation, in some sense, then the size of the confidence interval would decrease. Conversely, if the standard deviation increased more quickly than the sample size, in some sense, then the size of the confidence interval would increase.


What makes the range less desirable than the standard deviation as a measure of dispersion?

Range can include outliers that are not normal values and can skew overall data. Most relevant values can be found within one or two standard deviations on a normal curve.


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