Question Help * The accompanying table contains data on the weight,in grams, of

Question

Question Help * The accompanying table contains data on the weight,in grams, of a sample of S0 tea bags produced during an eight-hour shift Complete parts (a) through (d) Click the icon to view the data table. a. Is there evidence that the mean amount of tea per bag is different from 55 grams? (use -0.05.) State the null and alternative hypotheses. H0: = 55 Type integers or decimals.) More Info Toa Bag Weight (in grame) Determine the test statistic. 5.56 6.41 553 5.52 655 5.64 5.58 5.45 5.45 551 6.47 5.42 548 562 5.51 534 567 527 5.48 5.55 5.78 5.55 542 558 558 551 5.33 549 5.52 5.57 stio The test statistic is Round to two decimal places as needed 5.59 5.445.44 5.25 5.57 562 548 556 569 .35 Print Done Enter your answer in the answer box and then click Check Answer

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 5.5
HA : 5.5

Hypothesis test results:

90% confidence interval results:

Hence,

Test statistic = 0.07

p - Value = 0.9469

90% confidence interval: (5.4759, 5.5261)

Note - I have rounded off p - value and confidence interval to 4 decimal places. Please round the values as the question demands.

Variable Sample Mean Std. Err. DF T-Stat P-value Data 5.501 0.01494821 49 0.066897642 0.9469

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