You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=50.3. You would like to be 95% confident that your esimate is within 0.5 of the true population mean. How large of a sample size is required? n = Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers.
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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=50.3. You would like to be 95% confident that your esimate is within 0.5 of the true population mean. How large of a sample size is required?
n =
Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers.
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- A researcher wishes to test the claim that the average cost of tuition and fees at a four year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at 0.05? STEP 2. The critical value (s) is/are: z1 = z2 = (IF THERE IS ONLY ONE CRITICAL VALUE ENTER IT IN THE LEFT BOX AND ENTER NA IN THE RIGHT BOX.)Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each roll is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 Write an Excel spreadsheet to calculate the sample mean and sample standard deviations. The {#1} {#2} a)What…A researcher wishes to test the claim that the average cost of tuition and fees at a four-year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at 0.05? STEP 1. State the null and alternate hypothesis. CHOOSE THE LETTER THAT CORRESPONDS TO THE CORRECT ANSWER. STEP 2. The critical value (s) is/are: z1 = z2 = (IF THERE IS ONLY ONE CRITICAL VALUE ENTER IT IN THE LEFT BOX AND ENTER N/A IN THE RIGHT BOX.) STEP 3. The test-value z0 is: z0 = (Round to two decimal places.)
- A scientist studying local lakes claims that there is a linear relationship between a lake’s level of mercury and the lake’s depth. The scientist collected data to test the claim at a significance level of α=0.01. The following hypotheses were tested. H0:β1=0Ha:β1≠0 The test yielded a t-value of 2.7 and a p-value of 0.012. Which of the following is a correct conclusion about the scientist’s claim? The null hypothesis is rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. A The null hypothesis is not rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. B The null hypothesis is rejected since 0.012>0.01. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth.…Arsenic-based additives in chicken feed have been banned by the European Union. Ifa restaurant chain finds significant evidence that the mean arsenic level of theirchickens is above 80 ppb (parts per billion), the chain will stop using that supplier ofchicken meat. The hypotheses are: H 0 : µ = 80H 1 : µ > 80 where µ represents the mean arsenic level in all chicken meat from that supplier.Samples from two different suppliers are analyzed, and the resulting p-values aregiven: Sample from Supplier A: p-value is 0.0003Sample from Supplier B: p-value is 0.3500 a) Interpret each p-value in terms of the probability of the results happening byrandom chance. b) Which p-value shows stronger evidence for the alternative hypothesis? c) Which supplier, A or B, should the chain get chickens from in order to avoid toohigh a level of arsenic?A random sample of 54 students from Cabrillo College are selected from a normal population with mu equal to 20 and sigma equal to 5. After a treatment is administered to the students, the researcher calculated the sample mean to be 21. Is there enough evidence to conclude that the treatment had an effect at the 5% significance level? In step three, can we use the Critical Value Method? (a)Don't know (b)Cannot Determine (c)No (d)Yes
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- Find the critical value t alpha/2. 99%; n=17; standard deviation is unknown; population appears to be normally distributed.For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A new variety of pearl millet is expected to provide an increased yield over the variety presently in use, which has a mean yield of about 55 bushels per acre.