21. In using t as an inferential statistic, we calculate the t score for our sample and then consider where that t score falls in the distribution oft scores for the distribution of sample means when the A. alternative hypothesis is true B. null hypothesis is rejected C. null hypothesis is true D. alternative is rejected
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- Are phone calls equally likely to occur any day of the week? The day of the week for each of 420 randomly selected phone calls was observed. The results are displayed in the table below. Use an a = 0.05 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency Expected Frequency Sunday 61 Monday 70 Tuesday 69 Wednesday 50 Thursday 40 Friday 64 Saturday 66 b. What is the correct statistical test to use? Select an answer ✓ c. What are the null and alternative hypotheses? Ho: The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are dependent. Phone calls and days of the week are independent. O The distribution of phone calls is uniform over the days of the week.A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? |Ho: µ is ? |H: µ is ? In the context of this test, what is a Type II error? V? v when, in A Type II error is ? fact, u is ? | the hypothesis that u is ? Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making? ?
- The following two-by-two table was created from the data. TROUBLE STAYING ASLEEP [outcome] TROUBLE FALLING ASLEEP[predictor] Yes No TOTAL Yes 65 40 105 No 51 110 161 TOTAL 116 150 266 Let TP denote True Positive cases. Let TN denote True Negative cases. Let FP denote False Positive cases. Let FN denote False Negative cases. Trouble staying asleep (outcome) Yes No Trouble falling asleep (predictor) Yes TP FN No FP TN What is the positive predictive value of the predictor variable for the outcome? What is the negative predictive value of the predictor variable for the outcome? Which predictive value (negative or positive) is higher? What proportion of participants have trouble falling asleep and staying asleep? What is the prevalence of “Trouble staying asleep” among study participants?A random sample of 11 professional athletes produced the following data, where x is the number of endorsements the player has and y is the amount of money the player made (in millions of dollars). (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Number of Endorsements (x) Amount Player Made in Millions of Dollars (y) 5 0.1 8. 20.6 8. 20.1 14 7 15.6 4 5.8 21 3 4.9 4 12.5 8. 18.5 8 21.5 x: 5, 8, 8, 7, 7, 4, 5, 3, 4, 8, 8 y: 0.1, 20.6, 20.1, 14, 15.6, 5.8, 21, 4.9, 12.5, 18.5, 21.5 1. Find the best fit line for the data. y =Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, u, spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? ? v when, in v the hypothesis that u is? v? v. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…
- Z.5 points A dependent t-test study and an independent t-test study both produced a t statistic with df = 10. How many individuals participated in each study? 12 for dependent and 12 for independent 12 for the dependent and 11 for independent 11 for dependent and 11 for independent 11 for dependent and 12 for independentBriefly explain how increasing sample size influences each of the following. Assume that all other factors are held constant. Does tach increase, decrease, or stay the same? (M-u) (M-u)Vn The size of the Z-score Z. = M-u – OM (M-u) The size of Cohen's d d = (Mcr-u) (Mcr-u)vn The power P( 2Z> Mcritical-µuExecutives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, µ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 15 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? Hiµ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? the hypothesis that u is when, in Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making?
- Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag and are Normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised, so he intends to test the hypotheses Ho: μ = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be x = 13.88 and the sample standard deviation to be s = 0.24. Suppose in a similar test of 16 bags of these tortilla chips the P-value is 0.001. Further suppose that a is chosen to be 0.001. In that case, we would conclude that: Othere is not significant evidence that the mean net weight of the bags of chips is less than the advertised 14 oz. O there is not significant evidence that the mean net weight of the bags of chips is not less than the advertised 14 oz. O there is significant evidence that the…Search and Rescue of DND provides various statistics on boating accidents in he Maritimes and B.C. These statistics include information on the wind speed at the time of the accident. The following chart includes information recorded for 184 accidents on both coasts for the same time period: Wind Conditions Accidents West Coast Accidents East Coast Nil 13 6 Light 74 42 Moderate 30 15 Strong or higher 3 1 a) Suppose xe indicates the wind conditions in the East Coast where xe=0 indicates Nil, xe=1 indicates Light, xe = 2 indicates moderate and xe = 3 indicates Strong or Storm. Also suppose that xw indicates the wind conditions on the West Coast and xt indicates…The null hypothesis when testing for a single population can take many forms depending on the parameter being studied. If the parameter of interest is the population mean, which statement best represents the original claim that the parameter equals a given value, k?