In what way was the caste system related to economic status?

How to construct a $99\%$ confidence interval for the population mean?

The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, with the following data obtained:

Is there a difference in the measurement of the muzzle velocity between device A and device B at the $\alpha=0.01$ level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

$$\begin{array}{ccccccc} \text { Observation } & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} & \mathbf{6} \\ \hline \text { A } & 793.8 & 793.1 & 792.4 & 794.0 & 791.4 & 792.4 \\ \hline \text { B } & 793.2 & 793.3 & 792.6 & 793.8 & 791.6 & 791.6 \\ \hline \text { Observation } & \mathbf{7} & \mathbf{8} & \mathbf{9} & \mathbf{1 0} & \mathbf{1 1} & \mathbf{1 2} \\ \hline \text { A } & 791.7 & 792.3 & 789.6 & 794.4 & 790.9 & 793.5 \\ \hline \text { B } & 791.6 & 792.4 & 788.5 & 794.7 & 791.3 & 793.5 \\ \hline \end{array}$$

What conclusions do you think a cognitive psychologist might draw from your experiment results?

In the test of a certain hypothesis, the P-value corresponding to the test statistic is 0.0316. Can the null hypothesis be rejected at the a) 0.01 level of significance; b) 0.05 level of significance; c) 0.10 level of significance?

Suppose that a new treatment for a certain disease is given to a sample of 200 patients. The treatment was successful for 166 of the patients. Assume that these patients are representative of the population of individuals who have this disease.

Calculate the sample proportion successfully treated.

Suppose a new treatment for a certain disease is given to a sample of 200 patients. The treatment was successful for 166 of the patients. Assume that these patients are representative of the population of individuals who have this disease.

a. Calculate the sample proportion successfully treated.

b. Determine a 95% confidence interval for the proportion of the population for whom the treatment would be successful. Write a sentence that interprets this interval.

How did the caste system maintain social order?

What makes the Indian idea of the zero so important?

What is meant by the term "$90\%$ confident" when constructing a confidence interval for a mean?

Determine the values for each.

a. $t_{\alpha / 2}$ and $n=18$ for the $99 \%$ confidence interval for the mean

b. $t_{\alpha / 2}$ and $n=23$ for the $95 \%$ confidence interval for the mean

c. $t_{\alpha / 2}$ and $n=15$ for the $98 \%$ confidence interval for the mean

d. $t_{\alpha / 2}$ and $n=10$ for the $90 \%$ confidence interval for the mean

e. $t_{\alpha / 2}$ and $n=20$ for the $95 \%$ confidence interval for the mean

Hospital Noise Levels In the hospital study cited in The Previous Exercise the mean noise level in $171$ randomly selected ward areas was $58.0$ decibels, and the population standard deviation was $4.8$. Find the $90 \%$ confidence interval of the true mean.

A hypothesis test is performed with a significance level of $\alpha = 0.05$.

a. If the $P$-value is $0.08$, is $H_0$ rejected?

b. If the $P$-value is $0.08$, are the results statistically significant at the $0.05$ level?

c. If the $P$-value is $0.03$, is $H_0$ rejected?

d. If the $P$-value is $0.03$, are the results statistically significant at the $0.05$ level?

A Type II error is committed when _____.

A. the null hypothesis is true and it is not rejected

B. the null hypothesis is true and it is rejected

C. the null hypothesis is false and it is not rejected

D. the null hypothesis is false and it is rejected