The calibration of a scale is to be checked by weighing a 11 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with σ = 0.200 kg. Let μ denote the true average weight reading on the scale.
(b) With the sample mean itself as the test statistic, what is the P-value when x = 10.82?
(Round your answer to four decimal places.)
Given the sample size and sample mean , population standard deviation .
Here . Since the population standard deviation is not known, we use t-distribution.
The hypotheses are
The test statistic is
The p-value is
The calibration of a scale is to be checked by weighing a 11 kg test specimen...
The calibration of a scale is to be checked by weighing a 12 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with σ-0.200 kg. Let μ denote the true average weight reading on the scie (a) What hypotheses should be tested? Ha: μ#12 Ha: μ > 12 Ha: μ < 12 Ha: μ < 12 11.847 (Round your answer to four...
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My Notes Ask Your Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ-7. The hypotheses H0: μ 74 and Hai μ < 74 are to be tested using a random sample of n25 observations. (a) How many standard deviations (of X) below the null value is x 72.3? (Round your answer to two decimal places.) 1 standard deviations (b) If x72.3, what is the conclusion using a 0.002 Calculate the test statistic...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ-70. Let μ denote the true average compressive strength. a) What are the a null and altenative hypotheses? Ho: 1300 на: #1300 Ho:> 1300 hja: μ-1300...