4. Set up the null and alternative hypotheses to test whether there is any difference between the caloric content of french fries sold by the two chains. (a) Ho : µ1 2 H2 versus H. : µ1 < µ2 (b) Họ : µ1 < l2 versus Ha : µ1 2 µ2 (c) Họ : µ1 # µ2 versus Ha : µ1 = µ2 (d) Ho : µ1 < H2 versus Ha 41 > µ2 (e) Ho : µ1 = H2 versus H. : HM # H2 5. Find the value of the standardized test statistic. (а) —1.848 (b) 1.848 (c) -2.79 (d) 2.79 (е) —1.23

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4CGP
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4. Set up the null and alternative hypotheses to test whether there is any difference
between the caloric content of french fries sold by the two chains.
(a) Ho : µ1 2 l2 versus Ha : µ1 < µ2
(b) Ho : µ1 < l2 versus Ha : µ1 2 12
(c) Ho : µi 7 µ2 versus Ha : µ1 = 2
(d) Ho : µ1 < M2 versus Ha : µi > µ2
(e) Ho : µ1 = µ2 versus Ha : µ1 7 µ2
5. Find the value of the standardized test statistic.
(а) —1.848
(b) 1.848
(с) —2.79
(d) 2.79
(е) —1.23
6. Find the P-value for the above test and state your decision at 1% significance level.
(a) P=.0052; Decision: Reject Ho.
(b) P=.0026; Decision: Reject Ho.
(c) P=.0052; Decision: Do not reject Ho.
(d) P=.5000; Decision: Reject Ho.
(e) P=.0322; Decision: Do not reject Ho.
Transcribed Image Text:4. Set up the null and alternative hypotheses to test whether there is any difference between the caloric content of french fries sold by the two chains. (a) Ho : µ1 2 l2 versus Ha : µ1 < µ2 (b) Ho : µ1 < l2 versus Ha : µ1 2 12 (c) Ho : µi 7 µ2 versus Ha : µ1 = 2 (d) Ho : µ1 < M2 versus Ha : µi > µ2 (e) Ho : µ1 = µ2 versus Ha : µ1 7 µ2 5. Find the value of the standardized test statistic. (а) —1.848 (b) 1.848 (с) —2.79 (d) 2.79 (е) —1.23 6. Find the P-value for the above test and state your decision at 1% significance level. (a) P=.0052; Decision: Reject Ho. (b) P=.0026; Decision: Reject Ho. (c) P=.0052; Decision: Do not reject Ho. (d) P=.5000; Decision: Reject Ho. (e) P=.0322; Decision: Do not reject Ho.
Use the following for questions 4, 5 and 6.
A nutritionist in the FDA wants to compare the caloric content of medium french fries sold
by Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if there
is any difference between them. To test this, random samples from each chain is taken and
the caloric contents of french fries are measured. Their finding is summarized in the table
below.
Wendonald
McKing
n1 = 40
*1 = 380 calories
n2 = 50
%3D
360 calories
s1 = 30 calories
S2
38 calories
Transcribed Image Text:Use the following for questions 4, 5 and 6. A nutritionist in the FDA wants to compare the caloric content of medium french fries sold by Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if there is any difference between them. To test this, random samples from each chain is taken and the caloric contents of french fries are measured. Their finding is summarized in the table below. Wendonald McKing n1 = 40 *1 = 380 calories n2 = 50 %3D 360 calories s1 = 30 calories S2 38 calories
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