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A watch manufacturer creates watch springs whose properties must be consistent. In particular, the standard deviation in their weights must be no greater than 2.0 grams. Fifteen watch springs are selected from the production line and measured; their weights are 8, 3, 4, 8, 1, 4, 4, 9, 9, 2, 8, 4, 9, 7, and 7 grams. Assume = 0.01.
· State the null and alternate hypotheses· Calculate the sample standard deviation· Determine which test statistic is appropriate (chi-square or F), and calculate its value.· Determine the critical value(s).· State your decision: Should the null hypothesis be rejected?
What is wrong with this design? What confounds could be leading to the results of improved memory and problem-solving skills?
The 100 mA meter range has an error of 0.034% of reading and 0.005% of range. If the meter reading is 86.95 mA, what is the instrument error in mA? Ignore reading error.
Data collected by a child development scientist produced a 95% confidence interval for the mean age, μ (in weeks) at which babies began to craw as [21.4, 31.6]
The pooled variance of two samples is:
A number x is formed by choosing six digits in order, each being a 9 or a 1 and equally likely. Describe the sample space and count the number of sample points it contains.
The sample yielded a mean content of 19.88 ounces with a standard deviation of 0.35 ounces. At 95% confidence using the p-value approach, test the hypothesis.
A new book is being released and a bookstore predicts that 70% of customers that walk through the door on the release day will purchase the book.
What is probability that all parts in the sample are defective, what is probability that the sample will containe 3 defective parts of more.
JBGHI demands a sample large enough to ensure an error of ± 2% with 90% confidence. What is the necessary sample size?
5 of which are built to metric standards and 7 of which are built to english standards. What is the probability that out of 3 taken, at least one is english standard engine?
The men took an average of 20.5 hours per year of personal time with a standard deviation of 2.75 hours. What is the pooled estimate of the variance? Round to three decimal places.
Show that it satisfies the required condition for being a probability distribution.
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