(c) The value for the mean of the sampling distribution is: 0 (d) Choose the correct distribution: O Chi-Square Distribution O T-Distribution O Normal Distribution Why? O We are not provided with the population standard deviation for either population The size of n1 < 30 and n2 < 30. We are provided with 1 and ã2 O We are provided with o for both populations. (e) State the decision rule: Reject HO and accept Ha at a = 5 % if the p-value of the sample statistic is less than or equal to 0.05 (f) Experiment: Symbol of the sample statistic: - x1 O ã1 – a2 O p Or Value of the sample statistic: -163 P-value of the sample statistic rounded to 4 decimal places:

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Please help with letter (f) Experiment, rounded to 4 decimal places

In crash tests at five miles per hour, the mean bumper repair cost for 14 small cars is 558 dollars with a
standard deviation of 170 dollars. In similar test of 25 midsize cars, the mean bumper repair cost is 721
dollars with a standard deviation of 253 dollars. Conduct a hypothesis test based on this sample data, with
a = 5%. Answer the question, is the mean bumper repair cost less for small cars than it is for midsize cars?
(a) State the hypotheses:
Ho: The population mean
bumper repair cost for small cars is equal to
the
population mean
bumper repair cost for midsize cars.
Symbols:
O µ1 - U2
Ha: The population mean
bumper repair cost for small cars is less than
the
population mean
bumper repair cost for midsize cars.
Symbols:
(b) The correct symbol for the mean of the sampling distribution is:
O p
O Pi - P2
Or
O ¤2 – ¤1
O Pp
(c) The value for the mean of the sampling distribution is: 0
(d) Choose the correct distribution:
O Chi-Square Distribution
O T-Distribution
O Normal Distribution
Why?
O We are not provided with the population standard deviation for either population
O The size of n1 < 30 and n2 < 30.
O We are provided with a1 and 2
O We are provided with o for both populations.
(e) State the decision rule:
Reject HO and accept Ha
at a = 5
v% if the p-value of the sample statistic
is less than or equal to 0.05
(f) Experiment:
Symbol of the sample statistic:
O ¤2 – x1
O x1
O Pi - P2
O p
Or
Value of the sample statistic: -163
P-value of the sample statistic rounded to 4 decimal places:
(g) Conclusion: Reject HO and accept Ha - at a = 5
(h) Answer the question: Is the mean bumper repair cost less for small cars than it is for midsize cars?
No, because p-value is greater than alpha.
No, because the p-value is less than alpha.
Yes, because the p-value is greater than alpha.
O Yes, because the p-value is less than alpha.
O O O C O
Transcribed Image Text:In crash tests at five miles per hour, the mean bumper repair cost for 14 small cars is 558 dollars with a standard deviation of 170 dollars. In similar test of 25 midsize cars, the mean bumper repair cost is 721 dollars with a standard deviation of 253 dollars. Conduct a hypothesis test based on this sample data, with a = 5%. Answer the question, is the mean bumper repair cost less for small cars than it is for midsize cars? (a) State the hypotheses: Ho: The population mean bumper repair cost for small cars is equal to the population mean bumper repair cost for midsize cars. Symbols: O µ1 - U2 Ha: The population mean bumper repair cost for small cars is less than the population mean bumper repair cost for midsize cars. Symbols: (b) The correct symbol for the mean of the sampling distribution is: O p O Pi - P2 Or O ¤2 – ¤1 O Pp (c) The value for the mean of the sampling distribution is: 0 (d) Choose the correct distribution: O Chi-Square Distribution O T-Distribution O Normal Distribution Why? O We are not provided with the population standard deviation for either population O The size of n1 < 30 and n2 < 30. O We are provided with a1 and 2 O We are provided with o for both populations. (e) State the decision rule: Reject HO and accept Ha at a = 5 v% if the p-value of the sample statistic is less than or equal to 0.05 (f) Experiment: Symbol of the sample statistic: O ¤2 – x1 O x1 O Pi - P2 O p Or Value of the sample statistic: -163 P-value of the sample statistic rounded to 4 decimal places: (g) Conclusion: Reject HO and accept Ha - at a = 5 (h) Answer the question: Is the mean bumper repair cost less for small cars than it is for midsize cars? No, because p-value is greater than alpha. No, because the p-value is less than alpha. Yes, because the p-value is greater than alpha. O Yes, because the p-value is less than alpha. O O O C O
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