Consider the following hypothesis test:Claim: σ < 8.4 Sample Size: n = 20 Significance Level: α = 0.01Enter the smallest critical value. (Round your answer to nearest thousandth.)

The table below shows the weights of seven subjects before and after following a particular diet for two months. Subject / A / B / C / D / E / F / G Before / 155 / 153 / 153 / 150 / 150 / 152 / 152 After / 150 / 151 / 154 / 153 / 151 / 153 / 152 Using a 0.05 level of significance, test the claim that the diet is not effective in reducing weight (after minus before is not negative). Use the p-value method of hypothesis testing. Enter the test statistic. (Round your answer to nearest hundredth.)

A random sample of 25 women resulted in systolic blood pressure levels with a mean of 98 and a standard deviation of 2. A random sample of 61 men resulted in systolic blood pressure levels with a mean of 130 and a standard deviation of 6. Use a 0.025 significance level and the p-value method to test the claim that blood pressure levels for men vary less than blood pressure levels for women. Enter the p-value. (Round your answer to nearest thousandth.)

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. x / 4 1 4 4 1 y / 8 9 8 6 12 Compute the absolute value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)