Question
Asked Nov 25, 2019
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 402 grams. Assume the population standard deviation is known to be 28. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

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Expert Answer

Step 1

The test hypotheses are given below:

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Null hypothesis: H 404 Alternative hypothesis: H <404

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Step 2

The test statistic is obtained as follows:

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Sample statistic Null Parameter Z= SE 402-404 28 40 =-0.45

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Step 3

Thus, the test statistic is –0.45.

The p-value from the S...

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STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. 00 02 03 .01 04 06 .07 08 09 17879 16109 17106 19766 22663 18406 18141 17619 17361 16602 16354 0.9 16853 20611 21186 20897 20327 20045 19489 19215 18943 18673 -0.8 -0.7 24196 23885 23576 23270 22965 22363 22065 21770 21476 26435 25785 29116 32636 24510 27425 27093 26763 26109 25463 25143 24825 -0.6 30153 0.5 29806 33360 28774 27760 31207 30854 30503 29460 28434 28096 34090 31918 32997- 36693 31561 -0.4 34458 33724 32276 03 37448 38209 37828 37070 36317 35942 35569 35197 34827 41294 -0.2 42074 41683 40905 40517 40129 39743 39358 38974 38591 44828 -0.1 46017 45620 45224 44433 44038 43644 43251 42858 42465 48803 49601 48405 47608 47210 46812 46414 -0.0 50000 49202 48006

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Hypothesis Testing

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