Heights for teenage boys and girls were calculated. The mean height for the sample of 14 boys was 176 cm and the variance were 60. For the sample of 14 girls, the mean was 171 cm and the variance were 61. Assuming equal variances and normal distributions in the population,What is the 95% confidence interval on the difference between population means?What is the 99% confidence interval on the difference between population means?Do you think it is very unlikely that the mean difference in the population is about 7? Why or why not?

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Description: Heights for teenage boys and girls were calculated. The mean height for the sample of 14 boys was 176 cm and the variance were 60. For the sample of 14 girls, the mean was 171 cm and the variance were 61. Assuming equal variances and normal distribut

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Heights for teenage boys and girls were calculated. The mean height for the sample of 14 boys was 176 cm and the variance were 60. For the sample of 14 girls, the mean was 171 cm and the variance were 61. Assuming equal variances and normal distributions in the population,

What is the 95% confidence interval on the difference between population means?
What is the 99% confidence interval on the difference between population means?
Do you think it is very unlikely that the mean difference in the population is about 7? Why or why not?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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