Question

The process that produces Sonora Bars (a type of candy) is intended to produce bars with...

The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm. Find the p-value for a test to see whether the candy bars are smaller than they are supposed to be.

Multiple Choice

  • Between .05 and .10

  • Between .01 and .025

  • Between .025 and .05

  • Less than .01

0 0
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Answer #1

Here, we have to use one sample z test for the population mean.

H0: µ = 56 versus Ha: µ < 56

This is a lower tailed test.

The test statistic formula is given as below:

Z = (Xbar - µ)/[σ/sqrt(n)]

From given data, we have

µ = 56

Xbar = 55.82

σ = 0.77

n = 49

Z = (55.82 - 56)/[0.77/sqrt(49)]

Z = -1.6364

P-value = 0.0509

Answer:

Between .05 and .10

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