At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23 with a standard deviation of 3.5. Determine whether or not the average age of the evening students is significantly different from 21. Use a 0.1 level of significance. Select one: A. $H_0: mu ge 21$ $H_a: mu < 21$ B. $H_0: mu le 21$ $H_a: mu > 21$ C. $H_0: mu = 21$ $H_a: mu e 21$ D. None of the above answers is correct The probability of making a Type II error is denoted by Select one: A. $alpha$ B. $eta$ C. $1 - alpha$ D. $1 - eta$
Added by Sandra J.
Close
Step 1
Given: Null Hypothesis (Ho): μ = 21 Alternative Hypothesis (Ha): μ ≠ 21 Show more…
Show all steps
Your feedback will help us improve your experience
Qudsiya Anis and 85 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Madhur L.
At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23.25 years. The population standard deviation is known to be 7 years. Determine whether or not the average age of the evening students is significantly different from 21. Use a .1 level of significance.
Robin C.
A random sample of college students aged 18 to 24 years was obtained, and the number of hours of television watched last week was recorded. $$\begin{array}{lllll}36.1 & 30.5 & 2.9 & 17.5 & 21.0 \\\hline 23.5 & 25.6 & 16.0 & 28.9 & 29.6 \\\hline 7.8 & 20.4 & 33.8 & 36.8 & 0.0 \\\hline 9.9 & 25.8 & 19.5 & 19.1 & 18.5 \\\hline 22.9 & 9.7 & 39.2 & 19.0 & 8.6\end{array}$$ (a) Use the following normal probability plot to determine if the data could have come from a normal distribution. (FIGURE CAN'T COPY) (b) Determine the mean and standard deviation of the sample data. (c) Using the sample mean and sample standard deviation obtained in part (b) as estimates for the population mean and population standard deviation, respectively, draw a graph of a normal model for the distribution of weekly hours of television watched. (d) Using the normal model from part (c), find the probability that a college student aged 18 to 24 years, selected at random, watches between 20 and 35 hours of television each week. (e) Using the normal model from part (c), determine the proportion of college students aged 18 to 24 years who watch more than 40 hours of television per week.
The Normal Probability Distribution
Assessing Normality
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD