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Use the frequency distribution table below showing a sample data set for 10 students on a test with a maximum score of 20 to answer questions 8 and 9:
Score Frequency Midpoint Midpoint x Frequency Midpoint squared x Frequency1 - 5 46 - 10 311 - 15 216 - 20 1Totals
2. Find the mean score, X , of the data in the frequency distribution above.
3. Find the standard deviation of the scores in the frequency distribution above.
Is it reasonable to conclude that the distribution is normally distributed with a mean of $10 and a standard deviation of $2? Use the .05 significance level.
The average score for the sample is M = 76. For the general population of college students, writing scores form a normal distribution with a mean of µ = 70.
You are interested in knowing if there is a statistical difference in driving speeds between Day 1 and Day 10. Which statistical test would be appropriate? Why?
Suppose you randomly choose a sample of 30 observations from a normal distribution. You then use those observations to estimate the mean of the population.
Obtain the estimated regression function. Plot the estimated regression function and the data. Does a linear regression function appear to give a good fit here?
A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were:
Estimating the combined mean values for the given data - find the mean for the combined sample
A sample of 25 students enrolled in the university indicates that X (bar) = $315.4 and s = $43.20.
At the .05 significance level, can we conclude that the guideline is still reasonable?
What percent of the sales representatives earn more than $42,000 per year? What percent of the sales representatives earn between $32,000 and $42,000?
If you test the null hypothesis at the 0.01 level of significance, is there evidence that the new process has reduced turnaround time? Interpret the meaning of the p-value in this problem.
A regression model between sales (Y in $1,000), unit price (X 1 in dollars) and television advertisement (X 2 in dollars) resulted in the following function: = 7 - 3X1 + 5X 2 For this model SSR = 3500, SSE = 1500, and the sample size is 18...
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