The prediction interval for Xn+1 will always be longer than the confidence interval for u
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- A manufacturing firm, Caleb Corp, produces and sells product in its home (US) market, and in a foreign market. There is inherent risk in the revenues collected from the foreign market due to volatility in the exchange rate. Under a benchmark strategy, all of the production takes place in the home country. The resulting expected profits for Caleb Corp are variable, due to variation in the exchange rate. As an approximation, the firm has estimated profits for five possible ranges of the exchange rate, with profit represented as a lottery, L= (.2, 150; .2, 200; .3, 220; .2,250; .1, 270) The probabilities are estimated probabilities for the different ranges. The outcomes in this lottery are the estimated final profit levels (not changes in profit). (a) Calculate the expected profit if the firm follows this benchmark strategy, i.e., E(L)This technique makes no a priori assumption of whether one variable is dependent on the other(s) and is not concerned with the relationship between variables; instead it gives an estimate on the degree of association between the variables. a. means test b. multiple regression c. correlation d. regressionThe manager of the city pool has scheduled extra lifeguards to be on staff for Saturdays. However, he suspects that Fridays may be more popular than the other weekdays as well. If so, he will hire extra lifeguards for Fridays, too. In order to test his theory that the daily number of swimmers varies on weekdays, he records the number of swimmers each day for the first week of summer. Test the manager’s theory at the 0.01 level of significance. Swimmers at the City Pool Monday Tuesday Wednesday Thursday Friday Number 64 46 41 56 70 Copy Data Step 1 of 4 : State the null and alternative hypotheses in terms of the expected proportion for each day. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary. H0H0: pi=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯HaHa: There is a difference in the number of swimmers from day to day.
- If the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?In a binary PAM system for which the two signals occur with unequal probabilities (p and 1p), the optimum detector is specified by Equation (7.5.54). √ebr 2. 1. Determine the average probability of error as a function of (E₁/N) and p. Evaluate the probability of error for p = 0.3 and p = 0.5, with Eb/No = 10. how to find the formule two signals 1-P (7.5.54) occur with unequal probabilities ? step by step explain P AV ~~ In 1 P No P = InAccording to the Rule of Three, when we have a sample size n with x = 0 successes, we have 95% confidence that 3 the true population proportion has an upper bound of n' a. If n independent trials result in no successes, why can't we find confidence interval limits by using the methods described in this section? b. If 40 couples use a method of gender selection and each couple has a baby girl, what is the 95% upper bound for p, the proportion of all babies who are boys? a. Choose the correct answer below. A. The requirement of dependent trials is not satisfied, so the normal distribution cannot be used. B. The requirement of at least 5 successes and at least 5 failures is not satisfied, so the normal distribution cannot be used. C. The requirement of at least 5 successes and at least 5 failures is not satisfied, so the binomial distribution cannot be used. D. The requirement of dependent trials is not satisfied, so the binomial distribution cannot be used.
- Let p1 and p2 be the respective proportions of women with nutritional anemia in each of two developing countries. If a random sample of 300 women from the first country yielded 105 women with nutritional anemia, and an independently chosen, random sample of 325 women from the second country yielded 78 women with nutritional anemia, find a 90% confidence interval for −p1p2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas. a.) Lower Limit is: b.) Upper Limit is:A production superintendent claims that there is no difference between the employee accident rates for the day versus the evening shifts in a large manufacturing plant. The number of accidents per day is recorded for both the day and evening shifts for n = 100 days. It is found that the number of accidents per day for the evening shift XE exceeded the corresponding number of accidents on the day shift xp on 63 of the 100 days. Do these results provide sufficient evidence to indicate that more accidents tend to occur on one shift than on the other or, equivalently, that P(XE > XD) # 1/2?If n=16, ¯xx¯(x-bar)=35, and s=17, construct a confidence interval at a 80% confidence level. Assume the data came from a normally distributed population.Give your answers to one decimal place. I used the formula 35-NORM.INV(1-2.0/2,0,1)*((17)/SQRT(16)) for the lower and the same but with a plus sign for the upper, I got it wrong and dont understand why. We have to use Excel so please explain what excel formula to use.
- What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y optimal time in hours. A random sample of divers gave the following data. 15.1 23.3 32.2 38.3 51.3 20.5 22.7 2.48 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Roundr to three decimal places.) Ex = 203.4 Ey = 12.7 Ex2 = 0.001 Ey? = 0.002 Exy = 931.638 r= -0.9655 (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = -8.29 critical t = -3.36 Conclusion O Reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. Fail to reject the null hypothesis. There is…The manager of the city pool has scheduled extra lifeguards to be on staff for Saturdays. However, he suspects that Fridays may be more popular than the other weekdays as well. If so, he will hire extra lifeguards for Fridays, too. In order to test his theory that the daily number of swimmers varies on weekdays, he records the number of swimmers each day for the first week of summer. Test the manager’s theory at the 0.01 level of significance. Swimmers at the City Pool Monday Tuesday Wednesday Thursday Friday Number 64 46 41 56 70 Copy Data Step 2 of 4 : Calculate the expected value for the number of swimmers on Tuesday. Enter your answer as a fraction or a decimal rounded to three decimal places.The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 698 Americans is administered the acupuncturists treatment and 80 report experiencing migraines. I highly recommend you explore the possible errors with a contingency table, making note of the meaning of each possibility. Action Do not Reject Ho Reject Ho = True Ho: μ = 0.152 Ha: μ < 0.152 Ho is Actually a. Select the Null and Alternative Hypotheses to the scenario using the correct symbols. O Ho: p < 0.152 Ha: P 0.152 False Ho: p = 0.152 Ha: p < 0.152 b. Explain what a type 1 error is in this scenario. A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot. O A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot. O A type 1 error would be concluding…