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Given the following hypothesis: H0 : μ = 400 H1 : μ ≠ 400 For a random sample of 12 observations, the sample mean was 407 and the sample standard deviation 6. Answer the following questions using the .01 significance level. (a) State the decision rule? (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject H0 and accept H1 when the test statistic is the interval (, ). (b) The value of the test statistic is . (Round your answer to 3 decimal places.) (c) What is your decision regarding H0 ? Scrapper Elevator Company has 20 sales representatives who sell their product throughout the United States and Canada. The number of units sold by each representative is listed below. Assume these sales figures to be the population values. 2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5 Picture Click here for the Excel Data File (b) Compute the mean of the population. (Round your answer to 1 decimal place.) Mean of the population CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 135 seconds (2 minutes and 15 seconds). This will allow the disk jockeys to have plenty of time for commercials within each 10-minute segment. Assume the distribution of the length of the cuts follows the normal distribution with a population standard deviation of 8 seconds. Suppose we select a sample of 16 cuts from various CDs sold by CRA CDs Inc. (a) What can we say about the shape of the distribution of the sample mean? Sample mean (b) What is the standard error of the mean? Standard error of the mean seconds. (c) What percent of the sample means will be greater than 140 seconds? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Percent % (e) What percent of the sample means will be greater than 128 but less than 140 seconds? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Percent %
ph in the water is 7 at the .05 significance level. Her alternative hypothesis is that the water does not have a pH of 7. For which p-value will she fail to reject the null hypothesis?
However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 48%. What is the probability that they win both contracts?
Given the following data from two independent samples, conduct a one-tailed hypothesis test to determine if the first sample mean is larger than the second sample mean, given a 0.05 level of significance.
A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 years of age. If 12 children are analyzed,
The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. Find the explanatory variable(s) in this study are
Medical studies have shown that 10 out of 100 adults have heart disease. When a person with heart disease is given an EKG test, a 0.9 probability exists that the test will indicate the presence of heart disease.
Suppose we have a population of scores with a mean = 200 and a standard deviation = 10. Assume that the distribution is normal. Provide answers to the following questions:
A sales manager wants to know if the sales productivity of her east region is greater than the sales productivity of her west region
Interpret a scatter diagram - Explain the relationship between the hours each student of a school spends in after school jobs each week and their grade average.
Draw the standard normal distribution, label the axis, locate both z-scores on the axis (z7 = -1.5, z15 = 2.5), and shade an area equal to the probability that a randomly chosen croaker fish will be b/t 7 and 15 inches.
In how many different ways can 5 songs be arranged if a particular song must be the first on the EP?
Identify the variable of interest and the unit of measurement and what proportion of reaction times are less than 2.00 seconds?
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