Labels on 1-gallon cans of paint usually indicate the drying time and the area that can be covered in one coat. One manufacturer claims that a gallon of its paint will cover 400 square feet of surface area. To test this claim, a random sample of ten 1-gallon cans of white paint were used to paint 10 identical areas using the same kind of equipment. The actual areas (in square feet) covered by these 10 gallons of paint are: 310 412 410 311 368 447 376 303 365 350 Do the data present sufficient evidence to indicate that the average coverage differs from 400 square feet? For this test of hypothesis, H, is rejected at the 5% significance level

MATLAB: An Introduction with Applications
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TOPIC: Hypothesis Testing

please provide answers also for critical value and test statistics. Thank you

Labels on 1-gallon cans of paint usually indicate the drying time and the area that can be covered in one
coat. One manufacturer claims that a gallon of its paint will cover 400 square feet of surface area. To test
this claim, a random sample of ten 1-gallon cans of white paint were used to paint 10 identical areas using
the same kind of equipment. The actual areas (in square feet) covered by these 10 gallons of paint are:
368
365
310
447
311
303
412
410
376
350
Do the data present sufficient evidence to indicate that the average coverage differs
from 400 square feet? For this test of hypothesis, H, is rejected at the 5% significance
level
Transcribed Image Text:Labels on 1-gallon cans of paint usually indicate the drying time and the area that can be covered in one coat. One manufacturer claims that a gallon of its paint will cover 400 square feet of surface area. To test this claim, a random sample of ten 1-gallon cans of white paint were used to paint 10 identical areas using the same kind of equipment. The actual areas (in square feet) covered by these 10 gallons of paint are: 368 365 310 447 311 303 412 410 376 350 Do the data present sufficient evidence to indicate that the average coverage differs from 400 square feet? For this test of hypothesis, H, is rejected at the 5% significance level
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