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1. Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 95% confidence interval for the mean foot length for students at this university turns out to be (21.709, 25.091). Which of the following is true?
A. The sample mean was 23.4 cm.B. The margin of error is 3.382.C. If the confidence level is changed to 90% we will get a wider interval.
2. Scores this year for students taking the SAT Mathematics (SAT-M) test for the first time are believed to be Normally distributed with mean µ1. For students taking the test for the second time, this year's scores are also believed to be Normally distributed, but with a possibly different mean µ2. The standard deviations for first- and second-time test takers appear to stay relatively constant from year to year and can be taken to be known, with value σ1 = 100 for first-time takers and value 2 = 90 for second-time takers. We wish to estimate the difference µ2 - µ1. A random sample was obtained of the SAT-M scores of 100 students who took the test for the first time this year and the mean of these 100 scores was 1 = 504.5. A random sample was also obtained of the SAT-M scores of 36 students who took the test for the second time this year and the mean of these 36 scores was 2 = 539.1. A 95% confidence interval for µ2 - µ1 is
A. 34.6 ± 29.66.B. 34.6 ± 35.33.C. 34.6 ± 35.97.
Review the five steps of hypothesis testing and complete the following problems.
Garbage quantity is approximately normally distributed. Find the probability that the mean from a sample of 30 families will have between 17 and 18 pounds of garbage.
List the simple events in the sample for this experiment. Assuming that each pair of city council members has an equal chance of being selected, assign probabilities to each simple event.
Combine the following observations with the above data: 34, 46, 92, 51, 65, 76, 53, 99, 40, 46. Does the combined data set look normal?
A single-sample acceptance attributes sampling plan is required to have a producer's risk of 0.06 for an acceptable quality level of 0.5% nonconforming, and a consumer's risk of 0.10 for a rejectable quality level of 5% nonconforming. Use Minitab ..
Carry out an ANOVA and describe in detail in a BPS-formatted Results section:
How many cans of paint should the sample contain if the researcher wants to be 98% certain of being within one percentage point of the true proportion of this chemical?
What facts and/or statistics would you need to know to expose this misleading claim? The larger the sample, the more reliable the results." Do you agree or disagree with this statement? Explain.
If a total of 5,450 packages are shipped for .$1,926, determine how many individual packages were shipped and how many groups of 15 were shipped.
If 3 or fewer are defective, the lot is accepted. Based upon their sampling plan, what is the probability that a lot of 10 percent defective will be accepted?
At a =.02 , is the number of sticks of gum a person chews per day actually greater than 8? Use the traditional method of hypothesis testing.
A recent study was designed to compare smoking habits of young women with those of young men. A random sample of 150 women revealed that 45 of them smoked.
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