Why did we conclude that mean cold length not differs by “medication” ? Is this

ID: 3361633 • Letter: W

Question

Why did we conclude that mean cold length not differs by “medication” ? Is this Independent sample or dependent (paired sample)?

Create summary statistics (mean, median, std. dev., etc) “grouped by” Zicam. Use this summary information to help you perform the appropriate hypothesis test (by utilizing new StatCrunch output after going to Stat-T Statistics – Two Sample – with summary) to determine if mean cold length differs by “medication”, and if so how? Be sure to show all steps, provide appropriate output, and use a 5% significance level.

Based on your decision above (d), does taking the medicine make a difference? Why or why not? D) When looking at how long cold days are for Americans aged 18-64 we can see that the shape of the data is skwed right and unimodal with an outlier falling at 22.5 days. The mean cold length was 9.06 days with half 50% of the colds lasting at least 8 days. The typical cold length fell between 5.34 and 12.69 days.

Summary statistics:

Summary statistics for Length:
Group by: Zicam

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

Column n Mean Std. dev. Median Range Min Max Q1 Q3 Length 115 9.0608696 3.6377334 8 20 4 24 7 11

Explanation / Answer

Result:

Why did we conclude that mean cold length not differs by “medication” ? Is this Independent sample or dependent (paired sample)?

Independent sample t test is used because we comparing the persons with medication and without medication.

Difference

Sample Diff.

Std. Err.

T-Stat

P-value

1 - 2

0.6066958

0.66196766

110.89244

0.91650368

0.3614

Calculated t=0.9165, P=0.3614 is > 0.05 level of significance.

Ho is not ejected.

We conclude that mean cold length not differs by “medication”.