PART 2: Hypothesis Testing for TWO mean

An assistant principal at Hastings stated that students at Hastings type faster than the students at Elsik. To test this theory, an Elsik student collects a random sample of 36 Elsik students and 32 Hastings students and records their typing speeds.

Elsik:

Sample Mean = 35

Sample Standard Deviation = 11.6

Hastings:

Sample Mean = 38.5

Sample Standard Deviation = 13.6

Is there convincing evidence at the alpha = 0.05 level that, on average, Hastings students type faster than Elsik students?

Random -The random condition is not required in this scenario.

Only Elsik was a random sample.

Stated to be random samples of both Elsik and Hastings.

Not stated that either group is a random sample.

10% -You do not do the 10% condition for two means.

We assume 36 and 32 students is less than 10% of all Elsik and all Hastings Students

We cannot assume the 10% condition is met.

Large Sample -This condition is not met since the sample sizes are different.

Only Elsik is a large enough sample.

Yes, both 36 and 32 > 30 so they are both large enough samples.

Since all conditionHAVE

HAVE NOT

been met, we will conduct a

Test Statistic -0.1305

1.1345

2.4586

0.2610

-1.1345

0.8695

0.0135

P-Value -0.1305

1.1345

2.4586

0.2610

-1.1345

0.8695

0.0135

CONCLUDE

Since our p-value isLESS

GREATER

than our alpha, weREJECT

DO NOT REJECT

Ho. ThereIS

IS NOT

convincing evidence thatOn average, Hastings students type faster than Elsik students.

Hastings is better than Elsik

On average, Hastings students are better writers than Elsik students

.