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Suppose that a male offspring has a 50% chance of inheriting a particular disease, but a female offspring has no chance of inheriting the disease. Further suppose that 51.3% of births are male. What is the probability that a randomly chosen child will be affected by the disease?
A manufacturer of batteries is considering three new battery designs. An attempt was made to determine whether the mean lifetime in hours is the same for each of the three designs.
The IQ scores of 30 children from under-privileged households, were measured before and a year after, a program of nutritional supplementation was instigated at a primary school.
The table below shows the probability distribution of the annual sales (in Millions) of a small rm. Calculate the Expected value, Variance, and Standard deviation of the annual sales?
An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for:
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
A firm plans to hire 100 employees during the year. It expects that 25 of these employees will obtain graduate degrees within the next 5 years of being hired.
Assume that the population is normally distributed. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
Females aged 50 and over are approximately normally distributed with a mean of 250 mg/dL and a standard deviation of 30 mg/dL. What is Mrs. Brown's cholesterol level?
There is a worker error is 0.3, and the probability that an accident will occur when there is no worker error is 0.2. Find the probability of a worker error if there was an accident.
The regression equation is Y = 29.29 - 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the critical value to test the significance of the slope at the 0.01 significance level?
Explain the relationship between sample size and the likelihood of a statistically significant difference between the measured values of two groups.
To investigate whether female executives are experiencing pay-discrimination, a researcher samples the incomes of 300 male and 300 female executives. Which procedure would be appropriate?
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