Chi-square goodness-of-fit test for observed frequency

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Q1) A snack food manufacturer chosen a sample of 15 bags of pretzels off assembly line and weighed their contents.  If sample mean is 10.0 and sample standard deviation is 0.15, determine the 95% confidence interval estimate for true mean weight of bags of this type of pretzel.

i) (9.92, 12.34)   

ii) (8.54, 11.46)

iii) (10.42, 10.58)

iv) (9.92, 10.08)

Q2) City of Oakdale desires to see if there is linear relationship between temperature and the amount of electricity used (in kilowatts).  Based on data in table below, is there a significant linear relationship between temperature and amount of electricity used? 

Temperature (x)

73

78

85

98

93

81

76

105

Kilowatts (y)

680

760

910

1510

1170

837

600

1800

a) Yes, sample correlation coefficient is equal to= 0.981, that gives evidence of significant linear relationship.   

b) Yes, sample correlation coefficient is equal to= 0.878, that gives evidence of significant linear relationship.   

c) No, sample correlation coefficient is equal to= 0.098, that doesn't give evidence of a significant linear relationship.    

d) No, sample correlation coefficient is equal to 0.981that doesn't provide evidence of a significant linear relationship.    

Q3) In chi-square goodness-of-fit test when there is close agreement between observed frequency and expected frequency, chi-square test value will be small.     

a) True    

b) False

Reference no: EM1323231

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