11] Problem: Problem 1. (1 point) Previously, an organization reported that teenagers spent 1.5 hours per day, on average, on the phone. However, now the organization thinks that, the mean is higher. 40 randomly chosen teenagers were asked how many hours per day they spend on the phone. The sample mean was 1.4 hours with a sample standard deviation of 0.3. Conduct a test using a significance level of 0.01 (a) The test statistic (b) The critical value (c) The final conclusion is A. There is enough evidence to say that teenager spend more time on the phone. B. There is not sufficient evidence to show that teenager spend more time on the phone.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Problem:
Problem 1.
(1 point) Previously, an organization reported that
teenagers spent 1.5 hours per day, on average, on
the phone. However, now the organization thinks
that, the mean is higher. 40 randomly chosen
teenagers were asked how many hours per day
they spend on the phone. The sample mean was
1.4 hours with a sample standard deviation of
0.3. Conduct a test using a significance level of
a =
-0.01
(a) The test statistic
(b) The critical value
(c) The final conclusion is
A. There is enough evidence to say that
teenager spend more time on the phone.
B. There is not sufficient evidence to show that
teenager spend more time on the phone.
Note: You can earn partial credit on this problem.
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