A hypothesis test is conducted with H0 : µ = 46 vs. Ha: µ ≠ 46. The hypothesis test sample finds x̅ = 47.2, s = 5, and n = 81. The tail area in this test is P =

A repeated measures study with n=26 participants produces a mean difference of M D = 3 points, SS=500 for the difference scores, and t=2.50. Calculate Cohen's d and r square (r2) to measure the effect size for this study.

A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy = 68.36. Another random sample of 31 fathers gave score of a father. A random sample of 37 mothers gave a sample mean of x, X, = 60.06. Assume that o, = 11.55 and o, = 11.45. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? Because the interval contains only…

Estimate ff e+y“ dA with R = [0, 3] × [0, 3] using m = n = 2 and midpoints as your R sample points.

A sample of patients is tested to determine if they have any hospital borne infections. How large of a sample must be collected to be accurate within 0.01 at the 1% level of significance, if the hospital estimates the true proportion of patients infected is 0.045? p̂ = q̂ = E = Z= n=

You are conducting a study to see if the average female life expectancy is significantly more than 93. Your sample data (n=15) produce the test statistic t=2.33. Find the p-value accurate to 4 decimal places.

​Claim: μ=40​; α=0.04​; σ=3.88. Sample​ statistics: x=38.2​, n=72    the null and alternative hypotheses: H0​: μ=40 Ha​: μ≠40   calculate the standardized test statistic.   The standardized test statistic is enter your response here. ​(Round to two decimal places as​ needed.)