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.

(c)

For a test with α = 0.01, what is the probability that recalibration is judged unnecessary when in fact μ = 13.2? (Round your answer to four decimal places.)

Expert Solution

Since we need to find the probability of fail to reject the null hypothesis when null hypothesis is false so we need to find the type II error.

Answer: 0.0078

orchestra answered 1 year ago

4. A lab technician plans to check the calibration of an electronic scale by repeatedly weighing...

4. A lab technician plans to check the calibration of an electronic scale by repeatedly weighing the same 10-kg specimen and observing each reading. The scale won’t give the exact same measurement with each weighing due to inherent variability in the readings; assume that the standard deviation of the readings has a standard deviation of σ = 0.1 kg. (a) State the null and alternative hypotheses that would be used in a hypothesis test for this situation; state them using...

One kind of scale for weighing trucks can measure their weight as they drive across a...

One kind of scale for weighing trucks can measure their weight as they drive across a plate. However, it is not known whether this method is equivalent to the traditional method of static weighing. Find a 95% confidence interval of the weight differences. Interpret this interval in context. Weight-in-Motion Static Weight Diff (Static-Motion) 40.1, 38.0, -2.1 35.1, 39.8, 4.7 34.5, 38.2, 3.7 38.2, 40.9, 2.7 29.1, 28.5, -0.6 26.6, 30.9, 4.3 39.4, 36.5, -2.9 40.5, 40.4, -0.1 37.9, 40.2, 2.3...

What is the specimen type for Singulex Cardiovascular + HS-CRP test?

A sand specimen is isotropically consolidated in a triaxial test apparatus to 420 kPa and then...

A sand specimen is isotropically consolidated in a triaxial test apparatus to 420 kPa and then sheared with the drainage valves open (i.e., an S or CD test). At failure, (σ1 – σ3) is 1046 kPa. Determine the major and minor principal stresses at failure and the effective internal friction angle (assume c' = 0). Plot the Mohr diagram. (Problem originally from Holtz and Kovacs, 11-10) Another specimen of the same sand as in Problem 1 (i.e., same f' and...

Rubin’s Love Scale and Rubin’s Liking Scale (search it) Is this test measuring the construct of...

Rubin’s Love Scale and Rubin’s Liking Scale (search it) Is this test measuring the construct of love? How would you go about validating this measure? How does it relate to discriminant validity? (e.g., how does it discriminate between love and like? Love and lust? Love and hate?) How does it relate to predictive validity? (e.g., what would be outcome measures for how much a couple is in love?)

In a calibration test, 50 measurements were taken of a laboratory gas sample that is known...

In a calibration test, 50 measurements were taken of a laboratory gas sample that is known to have a CO concentration of 70 parts per million (ppm). A measurement is considered to be satisfactory if it is within 5 ppm of the true concentration. Of the 50 measurements, 37 were satisfactory. [5 + 10 points] (a) Suppose it is desirable to estimate the population proportion of satisfactory measurement within ±0.03, how big a sample of measurements should be? (b) Without...

Name the specimen sources that can be accepted by the BinaxNOW® Influenza A & B test?...

Name the specimen sources that can be accepted by the BinaxNOW® Influenza A & B test? What is the preferred specimen? List 3 limitations and 10 interfering substances of the BinaxNOW® Influenza A & B test. Name the specimen sources that can be accepted by the BinaxNOW® RSV test? What is the preferred specimen? List 5 limitations and 10 interfering substances of the BinaxNOW® RSV test.

The doctor order 3mg/kg of a drug for a child weighing 75lb. The drug is available...

The doctor order 3mg/kg of a drug for a child weighing 75lb. The drug is available as 50 mg/mL. How many mL must you administer. Round to the nearest whole number.

1 ) Solumedrol 1.5 mg/kg is ordered for a child weighing 74.8lb.Solumedrol is available...

1 ) Solumedrol 1.5 mg/kg is ordered for a child weighing 74.8 lb.Solumedrol is available as 125 mg / 2mL. How many mL must the nurse administer?2)The physician orders Tobramycin 75mg IV every 12 hours for a child weighing 74 lbs. The drug literature recommends a maximum dose of 5mg/Kg/day. You check the appropriateness of the physician’s order.Determine that a safe maximum dose per day of Tobramycin would be?Is it safe to give? (Yes or no)

13. The following calibration data were obtained for a total organic carbon analyzer (TOC) measuring TOC...

13. The following calibration data were obtained for a total organic carbon analyzer (TOC) measuring TOC in water: Concentration, ug/l Number of replicates Mean Signal Standard Deviation 0 20 0.03 0.008 6.0 10 0.45 0.0084 10.0 7 0.71 0.0072 19.0 5 1.28 0.015 Calculate the calibration sensitivity. What is the detection limit for this method? Calculate the relative standard deviation for each of the replicate sets.

Question