An electrical firm manufactures light bulbs that have a length of life that is normally distrib ed with mean equal to (800) hours and a standard deviation of (40) hours Find the probability that a bulb burns between 778 and 834 hours?
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- A different investor decides to invest $8000 in Fund A and $3000 in Fund B. Assuming the amounts gained by the two funds are independent, what are the mean and standard deviation of the amount gained by this investment in the first month?Please fill in the blanks with appropriate answers. - Of all possible estimators of α and β that are linear in the Yi and unbiased, the least squares estimators that have the smallest variances are said to be………………………….…………….……………………………. according to the…..………………………..……………… theorem. - The ……………………………………… is the proportion of the sample variability of the dependent variable explained by its linear relationship with the independent variable. Thanks.One tree in the study had a weight that exceeded its expected weight (according to the best fit curve) by more than that of any other tree. By how many tons did the trees actual weight exceed the expected weight for its height?
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- Suppose, you work with the Quality Assurance Team of a Biscuit Company, and a customer complains that the mean weight of the biscuit packet you are selling is less than 250 gm when you have claimed it to be of weight 250 gm in the packet. To test the customer's claim, you sampled 25 biscuit packets and measured their weights. Let be the hypothesized mean weight of a biscuit packet that your company claims, and the null and alternative hypotheses have been formulated as: At a 5% level of significance (), what will be the conclusion from a one-sample t-test (assuming that all the assumptions of the test are satisfied) if you obtain a p-value of 0.023?The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.01 level that the medicine relieves pain in more than 340 seconds. For a sample of 38 patients, the mean time in which the medicine relieved pain was 344 seconds. Assume the variance is known to be 484. Enter the decision rule. Reject Ho if z > _______If you have a mean of X=17 and μ=21 and σ=9 and N=16 conduct a two-tailed z-test. Use α = 0.05 state hypotheses and rejection region, calculate your z-score.