Question

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 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.

(a)What hypotheses should be tested?

(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.)

(c)What would you conclude at significance level 0.01?

(d)For a test with α = 0.01,what is the probability that recalibration is judged unnecessary when in fact μ = 11.1?(Round your answer to four decimal places.)

(e)For a test with α = 0.01,what is the probability that recalibration is judged unnecessary when in fact μ = 10.9? (Round your answer to four decimal places.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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 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. (a)What hypotheses should be tested? (b)With the sample mean itself as the test statistic, what is the P-value when x = 10.82?(Round your answer...
The calibration of a scale is to be checked by weighing a 13 kg test specimen...
The calibration of a scale is to be checked by weighing a 13 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. (a) What hypotheses should be tested? H0: μ ≠ 13 Ha: μ = 13H0: μ = 13 Ha: μ > 13    H0: μ ≠ 13...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 9. The hypotheses H0: μ = 73 and Ha: μ < 73 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (b) If x = 72.3, what is the conclusion using α = 0.004? Calculate the test statistic and determine the P-value. (Round...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
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 Ha: μ < 74 are to be tested using a random sample of n = 25 observations. (a) If x = 72.3, what is the conclusion using α = 0.003? Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 8. The hypotheses H0: μ = 73 and Ha: μ < 73 are to be tested using a random sample of n = 25 observations. (c) For the test procedure with α = 0.005, what is β(70)? (Round your answer to four decimal places.) (d) If the test procedure with α = 0.005 is used, what n is necessary to ensure that...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 8. The hypotheses H0: μ = 73 and Ha: μ < 73 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) standard deviations (b) If x = 72.3, what is the conclusion using α = 0.003?...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 9. The hypotheses H0: μ = 74 and Ha: μ < 74 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) standard deviations (b) If x = 72.3, what is the conclusion using α = 0.004?...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0: μ = 73 and Ha: μ < 73 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) ____________________standard deviations (b) If x = 72.3, what is the conclusion using α = 0.002?...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 9. The hypotheses H0: μ = 75 and Ha: μ < 75 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.)   standard deviations (b) If x = 72.3, what is the conclusion using α = 0.005?...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 8. The hypotheses H0: μ = 73 and Ha: μ < 73 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) standard deviations (b) If x = 72.3, what is the conclusion using α = 0.006?...