A warehouse supervisor claims that the mean loading time is less than 42 minutes. The hypothesis test decision is reject H0​. What is the correct conclusion about the claim?

A quality-control analyst studies whether machine calibration age x, measured in months, predicts precision score y. The analyst expects the relationship may be negative, but you should compute the regression from the data rather than relying on the pattern by sight. Use the following data to compute the simple linear regression equation and then predict y when x = 8.4. x              y13           42.253             72.7511           52.757             63.7515           39.755             64.259             51.25 Enter the slope [slope]____, intercept [intercept]____, and predicted ŷ for x = 8.4 [y-hat]____.(round each answer to 2 decimals)

For a left-tailed z test with α=0.02, the rejection rule can be written as: Reject H0​ if zTS ≤ NORM.S.INV(0.02)

A fitness center predicts monthly membership renewals Y using the number of promotional emails sent X₁ and the number of personal training consultations X₂. Excel multiple regression output gives: Intercept = 31.480X₁ coefficient = 0.275X₂ coefficient = 1.640R Square = 0.818Significance F = 0.004 For a month with X₁ = 84 promotional emails and X₂ = 19 consultations, what is the predicted number of membership renewals, rounded to 1 decimal?

A financial analyst claims that the variance in daily transaction amounts is different from 900 dollars squared. The test decision is fail to reject H0​. What is the correct conclusion about the claim?

A two-sample mean test has H₁: μ₁ < μ₂ and α = 0.08. Which Excel formula gives the correct left critical value?

A polling organization is constructing a 99% confidence interval for the proportion of likely voters who favor a ballot measure. What is the positive critical value for alpha/2?

A library studies whether the number of student workshop visits predicts research-assignment score. Excel regression output gives: Multiple R = 0.943R Square = 0.889Significance F = 0.001Intercept = 18.420Workshop Visits coefficient = 4.735 Using x = 12 workshop visits, which answer correctly gives the predicted score rounded to 1 decimal?

A hospital emergency desk receives an average of λ = 5.1 ambulance arrival notices per hour. Assume notices follow a Poisson distribution. Find the probability that the desk receives no more than 3 ambulance arrival notices in a randomly selected hour. Enter your answer rounded to 3 decimal places.

A benefits analyst claims that the variance in monthly employee health-care reimbursements is different from 100 dollars squared. Use: α=0.10 n=20 s2=136 Which answer is correct?