A Washington, D.C., "think tank" announces the typical teenager sent 67 text messages per day in 2017. To update that estimate,
1 answer:
Answer:
We reject the null hypothesis, leading us to revise the estimate that a typical teenager sends 67 text messages each day.
Step-by-step explanation:
The sample provided is:
51, 175, 47, 49, 44, 54, 145, 203, 21, 59, 42, 100
Formula:
where represents the data points,
denotes the mean, and n indicates the number of observations.
The sum of squares of differences equals 992.25 + 8556.25 + 1260.25 + 1122.25 + 1482.25 + 812.25 + 3906.25 + 14520.25 + 3782.25 + 552.25 + 1640.25 + 306.25 = 3539.363636
The following information is provided in the question:
Population mean, μ = 67
Sample mean, = 82.5
Sample size, n = 12
Alpha, α = 0.05
Sample standard deviation, s = 59.5
Initially, we formulate the null and alternate hypothesis
We apply the One-tailed t test for this hypothesis testing.
b) Formula:
Substituting all the values gives us
Now,
a) As such,
We discard the null hypothesis and adjust the estimate, concluding that teenagers send more than 67 text messages daily.
You might be interested in
The answer is in the image provided.
Please refer to the accompanying image.
In this scenario, the first step is to assign variables.
We define:
x: time measured in minutes
y: distance covered.
The equations formulated are as follows:
For Kathleen:
For Arnob:
At the moment Arnob meets Kathleen, we have:
Next, we isolate x.
We now have:
Answer:
Arnob takes a total of 75 minutes to catch up to Kathleen:
d. 75