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Q1) Recent article in The Wall Street Journal reported that 30-year mortgage rate is now less than 6%. Sample of eight small banks in Midwest disclosed the following 30-year rates (in percent):
Mortgage Rate
4.8
5.3
6.5
6.1
5.8
6.2
5.6
At.01 significance level, can we conclude that 30-year mortgage rate for small banks is less than 6%? Evaluate the p-value.
Q2) Dole Pineapple, Inc., is worried that 16-ounce can of sliced pineapple is being overfilled. Suppose standard deviation of process is .03 ounces. Quality control department took random sample of 50 cans and found that arithmetic mean weight was 16.05 ounces. At 5 percent level of significance, can we conclude that mean weight is greater than 16 ounces? Find out the p-value.
Describe the sampling distribution of the sample proportion
What is the 95% confidence interval for the difference between the mean prices of the two models?
What was the critical F value chosen?
What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)?
A business owner decides to use a binomial distribution to solve one of his problems.
Compare value of test statistics F obtained in part(2) with value of t 2 , square of test statistic for testing H 0 : β 1 =0 that was needed in test null hypothesis that true slope is 0. Interpret the results of this test.
Gas consumption of 3 cars (labeled car A, car B, and car C) using 4 different kinds of gasoline. Is there difference among kinds of gasoline?
Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention.
A chance sample of 50 families revealed an average or median of $112,000 and a standard deviation of $40,000. What is the standard error of the average or median?
Answer the following three questions based on what you know about statistics now.
The researcher computes the sum of squares for groups as SSG = 40030 and the sum of squares for error as SSE = 414780. The numerical value of the ANOVA F statistic is
Estimating a linear regression equation to predict the future values of the dependent variable Y.
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