A manufacturer of potato chips would like to know whether its bag filling machin

Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is overfilling the bags. A 44 bag sample had a mean of 431 grams. Assume a population standard deviation of 26. Is there sufficient evidence at the 0.1 level that the bage are overfilled? Strep 1. State the hypotheses: H_0: H_a: Step 2. Find the value of the z test statistic. (Round your answer to 2 decimal places.) Step 3. Specify if the test is one-tailed or two-tailed. A) One-Tailed Ten B) Two-Tailed Test Step 4. Find the P-value of the z test static. (Round your answer to 4 decimal places.) Step 5. Determine the value of the level of significance. Step 6. Determine the conclusion. A) Reject Null Hypothesis B) Fail to Reject Null Hypothesis 2. A newsletter publisher believes that om 69% of their readership own a Rolls Royce. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim? State the

Explanation / Answer

"Test Used: Z-Test For Single Mean
Set Up Hypothesis
Null Hypothesis H0: U<421
Alternate Hypothesis bags are overfilleded H1: U>421
Test Statistic
Population Mean(U)=421
Given That X(Mean)=431
Standard Deviation(S.D)=26
Number (n)=44  
we use Test Statistic (Z) = x-U/(s.d/Sqrt(n))
Zo=431-421/(26/Sqrt(44)
Zo =2.5512
| Zo | =2.5512
Critical Value
The Value of |Z | at LOS 0.1% is 1.28
We got |Zo| =2.5512 & | Z | =1.28
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value : Right Tail - Ha : ( P > 2.5512 ) = 0.0054
Hence Value of P0.1 > 0.0054, Here we Reject Ho"

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