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Given a sample size of 25, with sample mean 736.2 and sample standard deviation 82.3, we perform the following hypothesis test.What is the conclusion of the test at the level? Explain your answer.
The playing times of songs are normally distributed. Listed below are the playing times (in seconds) of 10 songs from a random sample. Use a 0.05 significance level to test the claim that the songs
Now change the score of X=8 to X=18, and find the new mean and standard deviation. Describe how one extreme score influences the mean and standard deviation.
In a random sample of 70 subjects, the sample mean is found to be The population standard deviation is known to be : (a) Determine the P-value for this test. (b) Is there sufficient evidence to ju
Three tubes are chosen successively and at random each time and are also tested successively. What is the probability that: The third tube is good if the first two were found to be good?
Delivery times follow a normal distribution with mean 20 minutes and standard deviation 4 minutes. Find the delivery time that 20% of all deliveries are less than.
A simple random sample of 120 SAT scores has a mean of 1540. Assume that SAT scores have a population standard deviation of 333. Construct a 95% confidence interval estimate of the mean SAT score.
What is the test statistic? What is the P-value? What is the critical value?
Let x denote the weight gain in pounds per month for a calf. The probability distribution of x is shown below. Find the average weight gain in pounds per month for a calf?
Based on UMUC Sports Network, she wins 80% of the serving games in her 5-year tennis career. (a) Find a 95% confidence interval estimate of the proportion of serving games Mimi won.
If the government tests three missiles by firing them at a target, what is the probability all three fail to destroy the target?
Each file gets damaged with probability 0.2 independently of other files. What is the probability that fewer than 50 files will get damaged?
According to an FDA research every fourth egg has salmonella bacteria. An inspector checked 4 eggs, what is the probability that exactly one egg had salmonella bacteria?
Calculate the intercept and slope for the fitted line Y= b0 + b1.x. (You may use Minitab) Interpret the meaning of the slope in words. Does the intercept have a practical interpretation for th
Identify the sample space of the probability experiment and determine the number of outcomes in the event. Draw a tree diagram if it is appropriate.
Explain why you would also like to know the standard deviations of the battery lifespans before deciding which brand to buy.
Assume the wages are normally distributed with a standard deviation of $0.45. If a worker at this car wash is selected at random, what is the probability that the worker earns more than $6.75?
Six of the candidates are members of the debate team. What is the probability that none of the officers are filled by members of the debate team?
If 400 fans who attended a college football game last week are selected at random, what is the probability that more than 331 of them rooted for the home team?
Test if the purchase behaviour is independent of the sales approach at the significance level of 0.05, by answering the following.
Two basketball players, Carmelo and Jason, independently attempt a free throw. Given that at least one of the players missed, what is the probability that Jason made his free throw?
Set up the hypotheses to test if the new software has a shorter average processing time.
A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings on a pizza are pepperoni, onions, and mushrooms?
State your null and alternative hypotheses formally, state your test statistic, and quote the critical value from the t tables. State your final conclusion in plain language.
The number of flawed 12.0V batteries produced at a particular manufacturer averages 4.4 per week. What is the probability that exactly 5 12.0V batteries will be produced in given week?