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A gene can be either type A or Type B, and it canbe either dominant or recessive. If the gene is type B, then there is a probability of 0.31 that it is dominant. There is also a probability of 0.22 that a gene is type B and it is dominant. What is the probability that a gene is of type A?
Estimate a test statistic for null hypothesis H0: μ = 30 against two-sided alternative hypothesis H1 : μ ≠ 30, and by plotting this on its reference distribution.
It has been determined empiracally that for a certain egg producer, the number of cracked or broken eggs X, in a randomly slected box containing six eggs, follows approximately the distribution given in the table below:
Make a decision using the p-value approach at the given α = 0.05.
Denote the Bergen County population mean as µ1 and the Morris County population mean as µ2. Using a significance level of your choice, carry out a hypothesis test for H0: µ1 ≥ µ2.
Assume that you plan to use a significance level of ? = .05 to test the claim that p1 =p2. Use the given sample sizes and numbers of successes to find the pooled estimate p. Round to the nearest thousandth
Complete the procedure on each of 36 occasions. Assuming we wich to be 99% certain of avoiding a Type I error, use these data to evaluate the union's claim.
If the p value for a test for difference of educational level of two groups is p=0.0184, is the difference statistically significant at the 0.01 level?
You calculate the difference in income as (after incentive plan - before incentive plan). You want to test whether income after the incentive plan is different from income before the incentive plan. What are the hypotheses for this test?
Suppose that people's heights (in centimeters) are normally distributed, with a mean of 165 and a standard deviation of 6. We find the heights of 40 people.
Students applying for admission to an MBA program must submit scores from the GMAT test, which includes a verbal and a quantitative component.
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
The distribution of amounts spent is approximately normal with a standard deviation of $10. Compute the probability of selecting a credit card customer at random and finding the customer charged between $70 and $83.
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