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1. Survey given to the sample of 200 college students contained questions about following variables. For each variable, identify the kind of graph that should be used to display the distribution of scores (histogram, polygon, or bar graph).a) number of pizzas consumed during the previous weekb) size of T-shirt worn (S, M.L, XL)c) gender (male/female)d) grade point average for the previous semestere) college class (freshman, sophomore, junior, senior)
2. Under what circumstances should you use a grouped frequency distribution instead of a regular frequency distribution?
Identify a research question from your professional life, research interests, or everyday experience that could be addressed by this analysis.
Assume that in a hypothesis test with null hypothesis H 0 : μ = 14.0 at a = 0.05, that a value of 13.0 for the sample mean results in the null hypothesis not being rejected. That corresponds to a confidence interval result of:
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
Compute the proportion p (hat) for your sample Show your computation. Find a 95% confidence interval for p. What is the margin of error in this confidence interval? What is the meaning of this interval with respect to your data and project?
Calculate the correlation and the regression equation and plot the data in the space provided.
Determine a forecast for the average weekly sales in year 5 for each of the three seasons.
If the population is normally distributed then the sample mean is also normally distributed even for small sample size.
Critically discuss the reasons for studying statistics? Choose five random numbers between 70-100. Calculate the mean, and midrange of these numbers.
What type of probability distribution will most likely be used to analyze the number of chocolate chip parts per cookie in the following problem?
What is a discrete and continuous random variable? What is an example of each variable? What are the similarities and differences between each variable?
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order auto-regressive model.
An accepted standard deviation for LSAT scores is 125. A random sample of 25 scores had an average of 1,375. Assume a significance level of 0.05. State the appropriate null and alternative hypotheses. Calculate the p-value to test the hypotheses.
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