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1. A survey of 120 high school students shows that 39 of them work over 20 hours per week during the school year. Does it demonstrate the conjecture that more than 25% of the high school students work over 20 hours per week during the school year? ( Answer by calculating the P - value.)
2. Each year an insurance company reviews its claim experience in order to set future rates. Regarding their damage-only automobile insurance policies, at least one claim was made on 2073 of the 12,299 policies in effect for the year. Treat these data as a random sample for the population of all possible damage-only policies that could be issued.
A) Calculate the P - value and comment on the strength of evidence.
Critique the HR manager's planned approach and give him advice on how to proceed. You can assume that a reasonable estimate for the proportion of new hires that are happy with the company is .8.
Let X equal the weight in grams of a 52-gram snack pack of candies. Assume that the distribution of X is N(μ, 4). A random sample of n = 10 observations of X yielded the following data:
What is a p-value in testing hypothesis? How does this p-value help us to decide to/not to reject a Null hypothesis? What might happen if we do not use this p-value in particular, when we are rejecting a Null hypothesis?
There were 3 defectives in the first batch and 5 in the second. Find a 95% confidence interval using the plus four method for the difference in the proportion of defectives.
The researcher wants to determine whether there is a relation between the type of residence owned and the level of the family income. He randomly sampled 100 homeowners and obtained the following data:
If, on the average, 20 orders are received by fax every two hours throughout the day, find the a. probability that a faxed order will arrive within the next 9 minutes.
The number of lightning strikes in a year at the top of a particular mountain has a Poisson distribution with a mean of 4.2. Find the probability that in a randomly selected year, the number of lightning strikes is 0.
A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European call option with a strike price of $105.
Can we conclude that there is a positive association between the size of the home and the selling price? Use the .05 significance level.
What is the distinction between a one-sided and a two-sided hypothesis test in this problem?
An EMT Service keeps records of emergency calls. A study of 150 five-minute time intervals resulted in the distribution of number of calls as follows.
Find a 95% confidence interval for the true proportion of voters who approve of the way the government is being run.
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