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In order to monitor the ecological health of the Florida Everglades, various measurements are recorded at different times. The bottom temperatures are recorded at the Garfield Bight station and a mean temperature of 30.4°C is obtained for the temperatures recorded on 61 different days. Assuming that σ = 1.7°C, test the claim that the mean population temperature is greater than 30.0°C. Use a 5% level of significance.
1. State the Null Hypothesis and the Alternative Hypothesis.
2. Determine the test statistic.
3. Determine the P-value.
4. Make a decision regarding the hypotheses based on the P-value and the Level of Significance.
A large population of metal rods have an average diameter of .943 inches with a standard deviation of .001 inches. The engineering specification for the rods requires that they be between .941 and .944 inches.
A statistics professor planed her classes so carefully that the lengths of her classes are uniformly distributed between 45 and 55 minutes. Find the probability that a given class period runs greater than 50.25 minutes.
At the .05 significance level, can we conclude that there is a difference in their mean times?
Could mud-wrestling be the cause of a rash contracted by University of Washington students in the spring of 1992? Two physicians at the University of Washington health center wondered this when one male and six female students complained of rashes..
A campus researcher wanted to investigate the factors that affect visitor travel time in a complex. multilevel building on campus.
An investment project is expected to earn $100,000 on average with a standard deviation of $50,000. Assume earnings from this investment project is a normal distribution. Of the next 15 people that invest in this project, what is the probability t..
The math SAT scores for all women are normally distributed with a mean of 496 and a standard deviation of 105.
The manager of a car wash receives pricing schedule (shown below) from the vendor who supplies soap- and a promise of a 25% shorter lead time for deliveries.
Which approach is most preferred and why? Optimistic, conservative, or minimax regret. Also, is establishing the most appropriate approach before analysising the problem important for the decision maker?
Your company ships a lot of packages needing quick delivery and short notice. In the past, you have used Speedy Air Delivery Service, but you are beginning to receive complaints from customers who say they are not receiving their packages on time.
A manufacturer claims that the life span of its tires is 52,000 miles. You work for a consumer protection agency and you are testing these tires. Assume the life spans of the tires are normally distributed.
Is this enough evidence to support Union's position? Use significance level of a = 0.05. You may suppose the mean annual salaries are normally distributed.
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