A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 180 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at least 127 of the 180 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.

The time it takes an employee to package the components of a certain product is normally distributed with ? = 7.5 and ? = 1.5 minutes. As an incentive, management has decided to give a bonus to the 25% of employees who took the shortest amount of time to package the components. Find the amount of time taken to package the components that will indicate that an employee should get a bonus. (Round your answer to two decimal places.) An employee must package components in a time     minutes.

A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 3.8 (s = 4.4) for the 141 females and 2.4 (s = 3.5) for the 178 males. Complete parts a through c below. a. Find the standard error comparing the sample means. Interpret. The standard error is se= 0.4540. (Round to four decimal places as needed.) What does the standard error indicate? ... OA. The standard error is the standard deviation of the sample for this study. OCT 28 OB. The standard error is the difference in standard deviations for the two populations. OC. The standard error is the standard deviation of the difference between x₁-x₂. D. The standard error describes the spread of the sampling distribution of x₁-x₂. b. Find the test statistic and P-value for Ho: H₁ H₂ and Ha: H₁ H₂. Interpret, and explain what (if…

A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Z-value p-value Single Policyholders n₁ = 440 Number making claims = 88 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. (to 2 decimals) (to 4 decimals) X Married Policyholders n2 = 840 Number making claims 126 We can conclude ✔ that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. X * )