The researcher then carried out a similar sampling and inference approach but focused on comparing "human businesses" (businesses with the word "human" in their name and "psychology businesses" (businesses with the word "psychology" in their name). Compare the two different statements shown below, in terms of the strength of evidence and the provided confidence interval. One of these statements is incorrect and one is correct .Statement A There is some evidence that for all currently registered businesses, the mean years since a "human business* was registered is higher than the mean years since a "psychology business" was registered. Difference in group means with 95% Confidence human- psychology Estimate 3.135 Lower 0.439 Upper 5.832 Statement B There is strong evidence that for all currently registered businesses, the mean years since a "human business* was registered is higher than the mean years since a "psychology business" was registered. Difference in group means with 95% Confidence human- psychology Estimate 1.135 Lower -1.561 Upper 3.832 Clearly identify which one of the two statements is incorrect, by stating Statement A or Statement B. explain no more than two sentences

A psychology program coordinator was interested in whether there was a difference in salary for the mental health counseling graduates of her master’s degree program based on whether they obtained employment in (1) a sole proprietor private practice, (2) a group private practice, (3) hospitals or (4) government agencies. After analyzing the data for 90 recent graduates, the consultant noticed that the variation within groups was small relative to the the variation between sample means.Which of the following is the most correct interpretation of this data? The F statistic will be relatively large, so it is likely that the researcher can conclude that the population means may be equal. The F statistic will be relatively large, so it is likely that the researcher can conclude that the population means are not all equal. The F statistic will be relatively small, so it is likely that the researcher can conclude that the population means may be equal. The F statistic will be relatively small, so it is likely that the researcher can conclude that the population means are not all equal.

3 Use the information below to answer the questions in this section. Recall that in Section 1, a researcher obtained a random sample of 150 "data businesses" and 150 "science businesses" from the NZB (New Zealand Business Number) registry. For each of the businesses in both samples that were currently registered (i.e., not removed, in liquidation or inactive), the researcher looked up the date of the registration and recorded how many years since the business had been registered. For example, if the business was registered in 2023, the value for years_since_registered was recorded as 0, and if the business was registered in 2020, the value for years_since_registered was recorded as 3. A researcher was interested in confirming that, for all currently registered businesses, the mean years since a "data business" was registered is either higher or lower than the mean vears since a "science business" was registered. They decided to carry out a two-sample t-test using iNZight Lite. Below is part of the output produced 3(a) Which of the following is a suitable two-sided alternative hypothesis for this test? Select one alternative • The underlying mean years since a "data business" was registered is the same as the underlying mean years since a "science business" was registered O The undertying mean years since a data bu signs 'as registered is not the same as • The underlying mean years since a "data business" was registered is higher than the underlying mean years since a "science business" was registered

1(a) A research question that asks - What is the mean number of characters used in the names of NZ "data businesses" in the researcher's sample? - would require a sample-to-population inference

A human resource manager for a large company takes a random sample of 60 employees from the company database. Based on the sample she calculates a 95% confidence interval for the mean time of employment for all employees to be 8.7 to 15.2 years.Which of the following will provide a more informative (i.e., narrower) confidence interval than the 95% confidence interval? Check all that apply. Using a 90% confidence level (instead of 95%) Using a 99% confidence level (instead of 95%) Using a sample size of 40 employees (instead of 60) Using a sample size of 90 employees (instead of 60)

The marketing manager for a home mobility aids needed more information about the age profile of potential customers. The manager predicts that the average age of customers is greater than 70 years. A random sample of 25 customers is selected from various retirement villages and their age (in years) is recorded. This data is located in Sheet A of the Practice Data fileIs there sufficient evidence to support the manager’s claim? Use 0.05 level of significance.The hypothesis to test this claim is