a. Make a 95% confidence interval for B. Round your answers to three decimal places. to i b. It is well known that each additional gram of carbohydrate adds 4 calories. Sugar is one type of carbohydrate. Using a regression equation for the data in the table, test at the 1% significance level whether Bis different from 4. Based on a 1% significance level test, we conclude that B different from 4. eTextbook and Media is is not

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The table provides details on the amount of sugar (in grams) and the calorie count in one serving for a sample of 13 varieties of cereal.

| Sugar (grams) | 4 | 13 | 13 | 11 | 7 | 6 | 6 | 2 | 7 | 12 | 20 | 3 | 15 |
|---------------|---|----|----|----|---|---|---|---|---|----|----|---|----|
| Calories      | 120 | 200 | 140 | 110 | 120 | 80 | 190 | 100 | 120 | 190 | 190 | 110 | 120 |

a. Make a 95% confidence interval for \( B \).

Round your answers to three decimal places.

\[ [ \ \  ] \quad \text{to} \quad [ \ \  ] \]

b. It is well known that each additional gram of carbohydrate adds 4 calories. Sugar is one type of carbohydrate. Using a regression equation for the data in the table, test at the 1% significance level whether \( B \) is different from 4.

Based on a 1% significance level test, we conclude that \( B \) [ \text{is} / \text{is not} ] different from 4.

eTextbook and Media

(Note: The interactive dropdown allows the user to choose whether \( B \) "is" or "is not" different from 4 at the 1% significance level.)
Transcribed Image Text:The table provides details on the amount of sugar (in grams) and the calorie count in one serving for a sample of 13 varieties of cereal. | Sugar (grams) | 4 | 13 | 13 | 11 | 7 | 6 | 6 | 2 | 7 | 12 | 20 | 3 | 15 | |---------------|---|----|----|----|---|---|---|---|---|----|----|---|----| | Calories | 120 | 200 | 140 | 110 | 120 | 80 | 190 | 100 | 120 | 190 | 190 | 110 | 120 | a. Make a 95% confidence interval for \( B \). Round your answers to three decimal places. \[ [ \ \ ] \quad \text{to} \quad [ \ \ ] \] b. It is well known that each additional gram of carbohydrate adds 4 calories. Sugar is one type of carbohydrate. Using a regression equation for the data in the table, test at the 1% significance level whether \( B \) is different from 4. Based on a 1% significance level test, we conclude that \( B \) [ \text{is} / \text{is not} ] different from 4. eTextbook and Media (Note: The interactive dropdown allows the user to choose whether \( B \) "is" or "is not" different from 4 at the 1% significance level.)
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