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Question 1. Assume the population has a normal distribution and the number of observations in a random sample is greater than fifty. If a z test is used to test a null hypothesis about the population mean versus the alternative that the true mean is greater than that specified by the null hypothesis, what is the critical value for a one-tailed test? Assume the type one-error rate is 0.05.
Question 2. Assume x is a random variable with mean μ and standard deviation σ. Find expressions for the mean and standard deviation of y if this variable is determined by the expression y = 4x +5. (Every value of x is modified by first being multiplied by 4 and then increased by 5.
Question 3. Assume normality and use the information given to find the p-value. Based on the p-value estimated, determine if the null hypothesis should be rejected at a 0.1 significance level. Select the correct answer if the test statistic in a "two-tailed test" is z= -1.63. Follow the procedure shown in Business Statistics.
a. p-value = 0.9484; fail to reject the null hypothesis
b. p-value = 0.0516; reject the null hypothesis
c. p-value = 0.0516; fail to reject the null hypothesis
d. p-value = 0.0258; reject the null hypothesis
We considered the two examples of the Drunkard's Walk corresponding to the cases n = 4 and n = 5 blocks (see Example 11.13). Verify that in these two examples the expected time to absorption, starting at x, is equal to x(n - x).
Sex sells? Ads for many products use sexual images to try to attract attention to the product. But do these ads bring people s attention to the item.
A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic (to 2 decimals) Answer the next three questions using the critical value approach.
Suppose among 312 large city residents sampled, 65 refused to cooperate. What is the margin of error at the 95% confidence level.
Conduct a test for checking that the proportions of women and men that liked commercial A are the same versus the two-sided alternative at the 5% level.
How does the macroscopic silver that was deposited on the glass slide compare with the silver colloid particles with respect to its interaction with visible light? Describe.
Identify the sample and population. Also, determine whether the sample is likely to be representative of the population.
Conduct a study to examine this phenomenon with a sample size of n=14. What is the probability that 11 or less, or more than 14 children become sick?
A random sample of 121 checking accounts at bank showed an average daily balance of $280 the standard deviation of the population is known to be $6. Find the standard error of the mean.
a farmer was interested in determining how many grasshoppers were in his field. he knows that distribution of
Urban voters The voters in a large city are 40% white, 40% black, and 20% Hispanic. (Hispanics may be of any race in official statistics.
A random sample of 36 days yielded the average daily output of 890.2 tons, with standard deviation of 19.8 tons. Use this information to make a 95% confidence interval for mean.
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