Historically, the mean systolic blood pressure (SBP) has been a rather high value for adults in the population. We are interested in whether a recent health campaign on diet and exercise has potentially lowered the mean. Which are the correct hypotheses?单项选择题
Null Hypothesis: population mean SBP less than historical value; Alternative Hypothesis: population mean SBP equals historical value
Null Hypothesis: population mean SBP equals historical value; Alternative Hypothesis: population mean SBP greater than historical value
Null Hypothesis: population mean SBP equals historical value; Alternative Hypothesis: population mean SBP not equal to historical value
Null Hypothesis: population mean SBP not equal to historical value; Alternative Hypothesis: population mean SBP equals historical value
Null Hypothesis: population mean SBP equals historical value; Alternative Hypothesis: population mean SBP less than historical value
Null Hypothesis: population mean SBP greater than historical value; Alternative Hypothesis: population mean SBP less than historical value
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Here are some statements relating to a P-Value When the P-Value is large (greater than 0.1) we can state the null hypothesis is true A P-Value is the probability the null hypothesis is true A P-Value is the probability of observing the test statistic, or something more extreme, if the null hypothesis is true If the P-Value is 0.06 we can reject the null hypothesis and accept the alternative hypothesis at a 10% level of significance If the P-Value is 0.04, we can reject the null hypothesis and accept the alternative hypothesis at a 1% level of significance
Sydney water claim the level of calcium carbonate in drinking water is 57mg/L, which classifies the water as soft. However, a local council are receiving an increasing number of complaints relating to excessive limescale damage of appliances and suspect their local level may be higher than that. They plan their own collection of water samples to see if the calcium carbonate levels are significantly higher than the claimed figure of 57mg/L. Let 𝜇 represent the true mean level of calcium carbonate. Here are the hypotheses the council will use: Null Hypothesis: 𝜇 = 57 Alternative Hypothesis: 𝜇 > 57 Which type of Error has been committed in the following situation? The council concludes the area's calcium carbonate level is significantly higher than 57mg/L when it is higher than the Sydney Water level of 57mg/L.
Kettle Chips suspects that a machine which fills packets of 175g Sea Salt Chips may be wrongly calibrated and over-filling. A quality control manager takes a random sample of 100 packets and calculates the mean content to be 176g with a standard deviation of 5g. You want to find whether there is evidence that the machine is overfilling packets. What are your hypotheses?
Part 1Call centers typically have high turnover. The director of human resources for a large bank has compiled data on about 70 former employees at one of the bank's call centers. The accompanying table shows this data. In writing an article about call center working conditions, a reporter has claimed that the average tenure is no more than two years. Formulate and test a hypothesis using these data to determine if this claim can be disputed. Use a level of significance of 0.05. LOADING... Click the icon to view the call center data. Part 1Is there sufficient evidence at the 0.05 level of significance that the average tenure is no more than two years?Determine the null hypothesis, H Subscript 0, and the alternative hypothesis, H Subscript 1.H Subscript 0: [input] ▼ sigmaσ piπ muμ empty selection [input] ▼ equals= less than less than or equals≤ greater than or equals≥ not equals≠ empty selection [input]enter your response here H Subscript 1: [input] ▼ piπ muμ sigmaσ empty selection [input] ▼ not equals≠ equals= less than or equals≤ less than greater than or equals≥ empty selection [input]enter your response here (Type whole numbers.)
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