the following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Age 12 year olds 16 year olds 18 year olds time 30 minutes 66 74 82 60 minutes 69 95 73 90 minutes 80 89 95 using a significance level of 5% what conclusions would you draw from the study?
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- Does money buy happiness? This is an age-old question. A random sample of 1993 subjects were asked to rate their happiness (Not too happy, Pretty happy, or Very happy) and also report their level of income (Above average, average, below average). The table of the observations is presented below. Income Not too happy Pretty happy Very happy Total Above Average 26 233 164 423 Average 117 473 293 883 Below Average 172 383 132 687 Total 315 1089 589 1993An online dating company wants to investigate perceptions of the services they offer. Two independent research companies collect data and ask several questions of a sample of individuals who identify as "single." Specifically, they want to determine at a 5% significance level if more than half of single people answer "yes" to the question, "Do you think that online dating is right for you?" The results for each researcher appear in the following table. Company A Company B P-value = 0.021 P-value = 0.063 "At the 5% significance level, the data provide convincing evidence that more than half of single people believe that online dating is right for them." "At the 5% significance level, the data do not provide convincing evidence that more than half of single people believe that online dating is right for them." Part A: Identify at least two reasons why the companies came up with different P-values. Part B: A researcher at Company B revisits the analysis and instead concludes the…Do iPads Help Kindergartners Learn: A Subtest The Auburn, Maine, school district conducted an early literacy experiment in the fall of 2011. In September, half of the kindergarten classes were randomly assigned iPads (the intervention group) while the other half of the classes got them in December (the control group.) Kids were tested in September and December and the study measures the average difference in score gains between the control and intervention group.52 The experimenters tested whether the mean score for the intervention group was higher on the HRSIW subtest (Hearing and Recording Sounds in Words) than the mean score for the control group. a)State the null and alternative hypotheses of the test and define any relevant parameters. b) The p-value for the test is 0.02. State the conclusion of the test in context. Are the results statistically significant at the 5% level? c) The effect size was about two points, which means the mean score for the intervention group was…
- double check + helpWhen a person states at the outset of an experiment that a higher average score will be received by a group receiving some kind of treatment when it is compared to the mean of a group that did not receive the treatment, the need for a _________________ is apparent. a. one-tailed test b. two-tailed test c. an independent groups test d. a matched groups testHow young is too young to have a cell phone? A group of eighth-grade boys and girls were surveyed and asked if they had a cell phone, with the following results. Cell Phone No Cell Phone Boys 54 46 Girls 57 43 (a) Draw a stacked bar chart to describe the data. I Cell Phone I No Cell Phone 1 Cell Phone I No Cell Phone 1 Cell Phone I No Cell Phone Frequency Frequency Frequency 100 100 100 80 80 80 60 60 60 40 40 40 20 20 20 Gender- Gender- Gender Boys Girls Вoys Girls Воys Girls Cell Phone No Cell Phone Frequency 100 80 60 40 20
- Suppose a group is interested in determining whether teenagers obtain their drivers license at approximately the same average age across the country. Five teenagers from each region of the country were randomly selected. The data collected is their age at which the teenagers obtained their drivers licenses and is summarized in the table below. Test the hypothesis that the five regions produce the same mean average for a teenage driver’s license. Northeast South West Central East 16.3 16.9 16.4 16.2 17.1 16.1 16.5 16.5 16.6 17.2 16.4 16.4 16.6 16.5 16.6 16.5 16.2 16.1 16.4 16.8 (a)What are the hypotheses? (b)What is the F – Statistic? (c) What is the p – value? (d) What can you conclude about the null hypothesis? (e) What can you conclude about the population means?Perform the hypothesis test that there is a relationship between gender and major 4) at 5% level of significance using the information from the sample below. Math Major English Major Total Male 42 72 114 30 72 09 132 06 204 Female TotalIn a study to determine the effect of early child care on infant-mother attachment patterns, 92 infants were classified as either "secure" or "anxious" using an appropriate measurement scale. In addition, the infants were classified according to the average number of hours per week that they spent in child care. The data are presented in the table. High (20-54 hours) Low Moderate (0-3 hours) (4-19 hours) Secure 22 33 Anxious 12 9. 9. (a) Do the data provide sufficient evidence to indicate that there is a difference in attachment pattern for the infants depending on the amount of time spent in child care? Test using a = 0.05. State the null and alternative hypotheses. Ho: Attachment pattern and amount of time spent in child care are dependent. H: Attachment pattern and amount of time spent in child care are independent. Ho: : The number of secure and anxious children are equal. : The number of secure and anxious children are not equal. Ha : Attachment pattern and amount of time spent in…
- The city council is considering a law that would ban smoking in all public facilities. A sample has been selected from the community and tested for support of the ordinance. Is there a statistically significant relationship between age and support for the anti-smoking law? Use the five step model as a guide and write a sentence or two interpreting your results. Age Less than 40 More than 40 Support: For 145 78 223 Against 103 169 272 248 247 495The following table shows a sample dataset of observation values of an independent variable, Age, and a dependent variable, number of toys Age 5 3 6 3 4 4 6 8 Toys 13 15 7 12 13 11 9 5 What is the value of Toys when Age is 7 (round your answer without decimal)Question: Can you give an example of variable for which the mean would not be appropriate to describe the data (that is, tell me a circumstance in which you would not want to use the mean to describe a dataset).
