Chapter 9 Hypothesis Tests emolqqu2 .8 ounces is filling mechanism. From past data, a population standard deviation o = assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is a = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of x = 16.32 ounces were found, what is the p-value? What actic would you recommend? = c. If a sample mean of x 15.82 ounces were found, what is the p-value? What acti would you recommend? d. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion? 65. Scholarship Examination Scores. At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical popul the assistant dean us

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#64 part D
Chapter 9 Hypothesis Tests

filling mechanism. From past data, a population standard deviation σ = 8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is α = .05.

a. State the hypothesis test for this quality control application.
b. If a sample mean of x̄ = 16.32 ounces were found, what is the p-value? What action would you recommend?
c. If a sample mean of x̄ = 15.82 ounces were found, what is the p-value? What action would you recommend?
d. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion?

65. Scholarship Examination Scores
At Western University, the historical mean of freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a...
Transcribed Image Text:Chapter 9 Hypothesis Tests filling mechanism. From past data, a population standard deviation σ = 8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is α = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of x̄ = 16.32 ounces were found, what is the p-value? What action would you recommend? c. If a sample mean of x̄ = 15.82 ounces were found, what is the p-value? What action would you recommend? d. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion? 65. Scholarship Examination Scores At Western University, the historical mean of freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a...
**Supplementary Exercises**

64. **Production Line Fill Weights.** A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the...

**Sample Size for a One-Tailed Hypothesis Test About a Population Mean**

In a two-tailed test, replace \( z_\alpha \) with \( z_{\alpha/2} \).

\[ 
n = \left( \frac{z_{\alpha/2} + z_\beta}{\mu_0 - \mu_a} \right)^2 \sigma^2
\]

\[ 
z = \frac{\bar{p} - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}
\]

The text provides a brief exercise regarding production line concerns and offers formulas for calculating sample size and evaluating proportions in hypothesis testing.
Transcribed Image Text:**Supplementary Exercises** 64. **Production Line Fill Weights.** A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the... **Sample Size for a One-Tailed Hypothesis Test About a Population Mean** In a two-tailed test, replace \( z_\alpha \) with \( z_{\alpha/2} \). \[ n = \left( \frac{z_{\alpha/2} + z_\beta}{\mu_0 - \mu_a} \right)^2 \sigma^2 \] \[ z = \frac{\bar{p} - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}} \] The text provides a brief exercise regarding production line concerns and offers formulas for calculating sample size and evaluating proportions in hypothesis testing.
Expert Solution
Step 1

The question is about hypo. testing

Given :

Popl. mean filling weight  ( μ ) = 16 ounces 

Popl. std. deviation of mean weight ( σ ) = 0.8 ounces

Randomly selected items ( n ) = 30

Level of signif. ( α ) = 0.05

 

To find :

d ) Using critical value approach testing the hypo. that decision of shut down the line for readjustment

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