In one month, the national mean price per i gallon (in dollars) of gasoline was 3.105. The data table here represents a random sample of 20 gas stations in city A. Is gas in city A more expensive than the nation? Assume the data come from a normal population with no outliers. Complete parts (a) through (d) below. 3.01 3.12 3.15 3.22 3.23 3.11 3.08 3.09 3.11 3.14 3.17 3.17 3.18 3.23 3.24 3.21 3.22 3.25 Ho H₁3 (Type integers or decimals.) (c) Use technology to calculate the P-value. (Round to three decimal places as needed.) 3.17 3.21 0 (a) What type of test should be used? A hypothesis test regarding the difference between two population proportions from independent samples using the standard normal test statistic A hypothesis test regarding two population standard deviations A hypothesis test regarding a single population mean using Student's approximate t A hypothesis test regarding the difference of two means using a matched-pairs design (b) Determine the null and alternative hypotheses. CHE

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In one month, the national mean price per
gallon (in dollars) of gasoline was 3.105. The
data table here represents a random sample of
20 gas stations in city A. Is gas in city A more
expensive than the nation? Assume the data
come from a normal population with no
outliers. Complete parts (a) through (d) below.
3.11
3.11
3.15
3.17
3.22 3.21
3.23 3.21
3.01
3.12
3.08
3.09
3.14 3.17
3.17
3.18
3.23 3.24
3.22 3.25
(a) What type of test should be used?
A hypothesis test regarding the difference between two population proportions from independent samples using the standard normal test statistic
O A hypothesis test regarding two population standard deviations
A hypothesis test regarding a single population mean using Student's approximate t
A hypothesis test regarding the difference of two means using a matched-pairs design
(b) Determine the null and alternative hypotheses.
Ho
H₂:
(Type integers or decimals.)
(c) Use technology to calculate the P-value.
(Round to three decimal places as needed.)
Transcribed Image Text:In one month, the national mean price per gallon (in dollars) of gasoline was 3.105. The data table here represents a random sample of 20 gas stations in city A. Is gas in city A more expensive than the nation? Assume the data come from a normal population with no outliers. Complete parts (a) through (d) below. 3.11 3.11 3.15 3.17 3.22 3.21 3.23 3.21 3.01 3.12 3.08 3.09 3.14 3.17 3.17 3.18 3.23 3.24 3.22 3.25 (a) What type of test should be used? A hypothesis test regarding the difference between two population proportions from independent samples using the standard normal test statistic O A hypothesis test regarding two population standard deviations A hypothesis test regarding a single population mean using Student's approximate t A hypothesis test regarding the difference of two means using a matched-pairs design (b) Determine the null and alternative hypotheses. Ho H₂: (Type integers or decimals.) (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)
(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below
OA. Although no level of significance is stated, the P-value is so small that the null hypothesis can be rejected. There is sufficient evidence to conclude that the gas prices in city A are lower than
the national average.
OB. Although no level of significance is stated, the P-value is so small that the null hypothesis can be rejected. There is sufficient evidence to conclude that the gas prices in city A are higher
than the national average
OC. No meaningful conclusion can be drawn because no level of significance was stated
OD. Although no level of significance is stated, the P-value is large enough that the null hypothesis cannot be rejected. There is insufficient evidence to conclude that the gas prices in city A are
higher than the national average
Transcribed Image Text:(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below OA. Although no level of significance is stated, the P-value is so small that the null hypothesis can be rejected. There is sufficient evidence to conclude that the gas prices in city A are lower than the national average. OB. Although no level of significance is stated, the P-value is so small that the null hypothesis can be rejected. There is sufficient evidence to conclude that the gas prices in city A are higher than the national average OC. No meaningful conclusion can be drawn because no level of significance was stated OD. Although no level of significance is stated, the P-value is large enough that the null hypothesis cannot be rejected. There is insufficient evidence to conclude that the gas prices in city A are higher than the national average
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