n one month, the national mean price per allon (in dollars) of gasoline was 3.107. The ata table here represents a random sample of 0 gas stations in city A. Is gas in city A more xpensive than the nation? Assume the data ome from a normal population with no utliers. Complete parts (a) through (d) below. 3.01 3.09 3.08 3.09 3.14 3.15 3.12 3.16 3.12 3.16 3.16 3.15 3.21 3.22 3.23 3.24 3.24 3.22 3.22 3.24 ) What type of test should be used? O 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 O A hypothesis test regarding a single population mean using Student's approximate t OA hypothesis test regarding the difference of two means using a matched-pairs design ) Determine the null and alternative hypotheses. ype integers or decimals.) ) Use technology to calculate the P-value. (Round to three decimal places as needed.) ) Draw a conclusion based on the hypothesis test. Choose the correct answer below. O A. 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. O B. 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. O D. 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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In one month, the national mean price per
gallon (in dollars) of gasoline was 3.107. 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
3.09
3.08
3.09
3.14
3.15
3.12
3.16
3.12
3.16
3.16
3.15
3.21
3.22
3.23
3.24
3.24
3.22
3.22
3.24
.....
(a) What type of test should be used?
O 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:
H1:
(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.
O A. 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.
B. 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.
C. No meaningful conclusion can be drawn because no level of significance was stated.
D. 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:In one month, the national mean price per gallon (in dollars) of gasoline was 3.107. 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 3.09 3.08 3.09 3.14 3.15 3.12 3.16 3.12 3.16 3.16 3.15 3.21 3.22 3.23 3.24 3.24 3.22 3.22 3.24 ..... (a) What type of test should be used? O 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: H1: (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. O A. 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. B. 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. C. No meaningful conclusion can be drawn because no level of significance was stated. D. 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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