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Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers).
a. If you have a body temperature of 99.00 °F, what is your percentile score?b. Convert 99.00 °F to a standard score (or a z-score).c. Is a body temperature of 99.00 °F unusual? Why or why not?d. Fifty adults are randomly selected. What is the likelihood that the mean of their body temperatures is 97.98 °F or lower?e. A person's body temperature is found to be 101.00 °F. Is the result unusual? Why or why not? What should you conclude?f. What body temperature is the 95th percentile?g. What body temperature is the 5th percentile?h. Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to indicate a fever. What percentage of normal and healthy adults would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6 °F is appropriate?
A clothing manufacturer tests an SRS of 3 specimens of each fabric. (a) What is the probability that the mean breaking strength of the 3 untreated specimens exceeds 49 pounds.
Assume the population standard deviations are not the same. At the .05 significance level, is there a difference in the mean waiting time?
For a normal distribution, the probability of randomly selecting a z-score greater than z = -2.00 is p = .0228.
Historically, it is known that the score has a Normal distribution and a standard deviation of 180. Set up the null hypothesis and the alternative hypothesis. Calculate the test statistic and find the p-value.
During the last week of the semester , students at a certain college spends on the average 4.2 hours using the school's computer terminals with a standard deviation of 1.8 hours .for a random sampling of 36 students at that collage.
He randomly selects a sample of 10 items of the procduct from a large lot ready to be shipped. He (given that) the true proportion of perfect condition items is only 80% what is the probability that the lot will not be shipped?
At a 5% level of significance, is there enough evidence from this survey to conclude that more than half of all adults would rather have $100 than a day off?
You have been asked to test whether data support company's claim? Test at α = 0.05. Suppose normality.
Compute a 95% confidence interval for the mean using the formula and where is the mean of the ten random numbers.
Calculate the P-value for the test of the hypothesis p1 - p2=0. Let p1 represent the population proportion of eligible students in Pennsylvania.
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?
There are 4 samples of 40 individuals each interviewed to find out how often they visit a fast food restaurant in the week.
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