### Hypothesis testing using minitab | Numerical analysis homework help

***If you don’t have experience using Minitab software, please do not attempt the following 2 problems:

Solve Examples 1 and 2 using Minitab and interpret the output in each example to conclude whether the null hypothesis must be rejected. Please provide more than just the answer. Must be able to see work.

Example 1 Problem 1

Jeffrey, as an eight-year old, * established a mean time of 16.43 seconds* for swimming the 25-yard freestyle, with a

*. His dad, Frank, thought that Jeffrey could swim the 25-yard freestyle faster by using goggles. Frank bought Jeffrey a new pair of expensive goggles and timed Jeffrey for*

**standard deviation of 0.8 seconds***. For the 15 swims,*

**15 25-yard freestyle swims***Conduct a hypothesis test using a preset*

**Jeffrey’s mean time was 16 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds.***α*=0.05. Assume that the swim times for the 25-yard freestyle are normal.

Example 2 Problem 1

A college football coach thought that his players could bench press a * mean weight of 275 pounds*. It is known that the

*. Three of his players thought that the mean weight was*

**standard deviation is 55 pounds***that amount. They asked*

**more than***of their teammates for their estimated maximum lift on the bench press exercise. The data ranged from 205 pounds to 385 pounds. The actual different weights were (frequencies are in parentheses) 205(3); 215(3); 225(1); 241(2); 252(2); 265(2); 275(2); 313(2); 316(5); 338(2); 341(1); 345(2); 368(2); 385(1). (Source: data from Reuben Davis, Kraig Evans, and Scott Gunderson.)*

**30**Conduct a hypothesis test using a 2.5% level of significance to determine if the bench press mean is * more than 275 pounds*.