4The null and altemate hypothe oe.The following cample Information chows the number of defectlve unta produced on the day shtft and the afternoon shtft for a sampleof four days lat month.Day2 3i0 11 14 18Day shi ftAf tornoonshift91318At the 0.010 cgnticance leve, can we conclude there are more defects produced on the day shift? HintFor the calculations, acoumethe day chtft as the first somple.State the declclon rule. (Round your answe to 2 decimal places.)b. €oneutc the voluc o oc teee 5చడంగం (Round your ancwer to a డేజియme pleccc.wV Bctaeen 0025 cnd 0.03soo o 9v2200042*4*9.0001d Whet o your dec2o1 ego/crg 3rReest

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Asked Dec 1, 2019
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I wwould like the solutions for parts a-d

4
The null and altemate hypothe oe.
The following cample Information chows the number of defectlve unta produced on the day shtft and the afternoon shtft for a sample
of four days lat month.
Day
2 3
i0 11 14 18
Day shi ft
Af tornoon
shift
9
13
18
At the 0.010 cgnticance leve, can we conclude there are more defects produced on the day shift? HintFor the calculations, acoume
the day chtft as the first somple.
State the declclon rule. (Round your answe to 2 decimal places.)
b. €oneutc the voluc o oc teee 5చడంగం (Round your ancwer to a డేజియme pleccc.
w
V Bctaeen 0025 cnd 0.03
soo o 9v2200042*4*9.0
001
d Whet o your dec2o1 ego/crg 3r
Reest
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4 The null and altemate hypothe oe. The following cample Information chows the number of defectlve unta produced on the day shtft and the afternoon shtft for a sample of four days lat month. Day 2 3 i0 11 14 18 Day shi ft Af tornoon shift 9 13 18 At the 0.010 cgnticance leve, can we conclude there are more defects produced on the day shift? HintFor the calculations, acoume the day chtft as the first somple. State the declclon rule. (Round your answe to 2 decimal places.) b. €oneutc the voluc o oc teee 5చడంగం (Round your ancwer to a డేజియme pleccc. w V Bctaeen 0025 cnd 0.03 soo o 9v2200042*4*9.0 001 d Whet o your dec2o1 ego/crg 3r Reest

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Expert Answer

Step 1

Decision rule:

Reject H0 if test statistic > Critical value.

In this case, the appropriate test is paired t test,

The test statistic is t which is calculated as,

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d-Ha

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Step 2

where d-bar is the mean of the differences, µd0 is the hypothesized mean difference, sd-bar  is the standard deviation of the differences.

Step-by-step procedure to obtain the test statistic and critical value using Excel software:

  • In Excel sheet, enter Day shift and Afternoon shift in different columns.
  • In Data, select Data Analysis and Choose t-Test: Paired Two Sample for Means.
  • In Variable 1 Range, select Day shift and in Variable 2 Range se...
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t-Test: Paired Two Sample for Means Day shift 13.25 Afternoon shift 12.5 Мean Variance 12.91666667 16.33333333 Observations 4 4 0.99828688 Pearson Correlation Hypothesized Mean Difference 0 df 3 3 t Stat P (T<t) one-tail 0.028834443 t Critical one-tail 4.540702859 0.057668886 P (T=t) two-tail t Critical two-tail 5.84090931

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