Question

A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 4 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table)

Client	Weight on First Day of Diet	Weight One Month Later
1	169	152
2	218	203
3	191	160
4	202	185
5	159	151
6	141	145

Click here for the Excel Data File

Let the difference be defined as Before − After.

a. Specify the null and alternative hypotheses that test the diet center’s claim.

• H₀: μ_D = 4; H_A: μ_D ≠ 4

• H₀: μ_D ≥ 4; H_A: μ_D < 4

• H₀: μ_D ≤ 4; H_A: μ_D > 4

b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

c. Find the p-value.

• 0.05 p-value < 0.10
• 0.01 p-value < 0.025
• 0.025 p-value < 0.05

• p-value < 0.01

• p-value 0.10

d. At the 10% significance level, do the data support the diet center’s claim?

• No   since the p-value is less than α.
• Yes   since the p-value is more than α.
• No   since the p-value is more than α.
• Yes   since the p-value is less than α.

Answer 1

Answer: this problem solved by R

Output:Thank you!?

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