a) Other investigators have run experiments similar to this one but with many more mice, and they observed a mean lifetime of 129 days for the treated mice. Use the t test to determine if there is enough evidence to conclude the mean survival time based on this most recent experiment is different from 129 days. Ho: u=129 Ha: µ #129 Mean=86.857143 Standard Error=25.23549 State the test statistic, p-value and conclusion. Use a significance level of 0.1.

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**Problem #2: An Experiment on New Medical Treatment for Mice**

An experiment involved randomly assigning mice to a new medical treatment or to receive a placebo. The treatment was intended to prolong survival after a test surgery. The researchers want to estimate the survival time using the new medical treatment.

**Survival Times for Mice in the Treatment Group:**
- 94 days
- 197 days
- 16 days
- 38 days
- 99 days
- 141 days
- 23 days

**Task:**

a) Other investigators have run experiments similar to this one but with many more mice, and they observed a mean lifetime of 129 days for the treated mice.

**Objective:**

Use the t-test to determine if there is enough evidence to conclude that the mean survival time based on this most recent experiment is different from 129 days.

- **Null Hypothesis (Ho):** μ = 129
- **Alternative Hypothesis (Ha):** μ ≠ 129
- **Observed Mean:** 86.857143
- **Standard Error:** 25.23549

**Instructions:**

State the test statistic, p-value, and conclusion. Use a significance level of 0.1.
Transcribed Image Text:**Problem #2: An Experiment on New Medical Treatment for Mice** An experiment involved randomly assigning mice to a new medical treatment or to receive a placebo. The treatment was intended to prolong survival after a test surgery. The researchers want to estimate the survival time using the new medical treatment. **Survival Times for Mice in the Treatment Group:** - 94 days - 197 days - 16 days - 38 days - 99 days - 141 days - 23 days **Task:** a) Other investigators have run experiments similar to this one but with many more mice, and they observed a mean lifetime of 129 days for the treated mice. **Objective:** Use the t-test to determine if there is enough evidence to conclude that the mean survival time based on this most recent experiment is different from 129 days. - **Null Hypothesis (Ho):** μ = 129 - **Alternative Hypothesis (Ha):** μ ≠ 129 - **Observed Mean:** 86.857143 - **Standard Error:** 25.23549 **Instructions:** State the test statistic, p-value, and conclusion. Use a significance level of 0.1.
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